Digit factorials

AUTHOR

Quinn Perfetto

https://projecteuler.net/problem=34

145 is a curious number, as 1! + 4! + 5! = 1 + 24 + 120 = 145.

Find the sum of all numbers which are equal to the sum of the factorial of their digits.

Note: as 1! = 1 and 2! = 2 are not sums they are not included.

use v6;



sub fact ($n) {
    [*] 1..$n;
}

sub factDigits ($n is copy) {
    [+] gather while $n > 0 {
        take fact $n % 10;
        $n div= 10;
    }
}

say [+] gather for 3...40586 {
    take $_ if factDigits($_) == $_
}

# vim: expandtab shiftwidth=4 ft=perl6

See Also

prob001-cspencer.pl

Multiples of 3 and 5

prob001-eric256.pl

Multiples of 3 and 5

prob001-grondilu.pl

Multiples of 3 and 5

prob001-hexmode.pl

Multiples of 3 and 5

prob001-unobe.pl

Multiples of 3 and 5

prob002-eric256.pl

Even Fibonacci numbers

prob002-gerdr.pl

Even Fibonacci numbers

prob002-hexmode.pl

Even Fibonacci numbers

prob003-eric256.pl

Largest prime factor

prob003-gerdr.pl

Largest prime factor

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Largest prime factor

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Largest prime factor

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Largest palindrome product

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Largest palindrome product

prob005-unobe.pl

Smallest multiple

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Smallest multiple

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Sum square difference

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10001st prime

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Largest product in a series

prob008-duff2.pl

Largest product in a series

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Special Pythagorean triplet

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Special Pythagorean triplet

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Special Pythagorean triplet

prob010-polettix.pl

Summation of primes

prob011-moritz.pl

Largest product in a grid

prob012-polettix.pl

Highly divisible triangular number

prob013-grondilu.pl

Large sum

prob014-felher.pl

Longest Collatz sequence

prob015-felher.pl

Lattice paths

prob016-grondilu.pl

Power digit sum

prob017-duff.pl

Number letter counts

prob018-felher.pl

Maximum path sum I

prob019-grondilu.pl

Counting Sundays

prob020-grondilu.pl

Factorial digit sum

prob021-gerdr.pl

Amicable numbers

prob022-grondilu.pl

Names scores

prob023-shlomif.pl

Non-abundant sums

prob024-moritz.pl

Lexicographic permutations

prob025-polettix.pl

1000-digit Fibonacci number

prob026-shlomif.pl

Reciprocal cycles

prob027-shlomif.pl

Quadratic primes

prob028-shlomif.pl

Number spiral diagonals

prob029-gerdr.pl

Distinct powers

prob029-polettix.pl

Distinct powers

prob031-shlomif.pl

Coin sums

prob033-andreoss.pl

Digit cancelling fractions

prob036-xenu.pl

Double-base palindromes

prob038-andreoss.pl

Pandigital multiples

prob039-quinny.pl

Integer right triangles

prob041-heyajulia-alternative.raku

Pandigital Prime

prob041-heyajulia.raku

Pandigital Prime

prob042-shlomif.p6

Coded triangle numbers

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Distinct primes factors

prob052-duff.pl

Permuted multiples

prob053-duff.pl

Combinatoric selections

prob053-gerdr.pl

Combinatoric selections

prob054-andreoss.pl

Poker hands

prob055-shlomif.p6

Lychrel numbers

prob056-shlomif.p6

prob059-andreoss.pl

XOR decryption

prob063-moritz.pl

Powerful digit counts

prob063-polettix.pl

Powerful digit counts

prob065-andreoss.pl

Convergents of e

prob065-grondilu.pl

prob066-andreoss.pl

Diophantine equation

prob067-felher.pl

Maximum path sum II

prob080-andreoss.pl

Square root digital expansion

prob081-moritz.pl

Path sum: two ways

prob089-andreoss.pl

Roman numerals

prob092-moritz.pl

Square digit chains

prob097-andreoss.pl

Large non-Mersenne prime

prob098-andreoss.pl

Anagramic squares

prob099-andreoss.pl

Largest exponential

README.md

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