40,514,715

3³ × 5 × 300109

40,514,715 factors as 3^3 × 5 × 300109. Its 16 positive divisors give a proper-divisor sum of 31,511,685, so this integer is deficient. The Collatz stopping time is 245 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 300109

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 72,026,400

Proper Divisor Sum 31,511,685

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #40514713 ← → #40514717

Radix Representation

Decimal	40514715
Binary	10011010100011010010011011 (26 bits)
Octal	0o232432233
Hexadecimal	0x26A349B

Divisor Catalog (16)

1 3 5 9 15 27 45 135 300,109 900,327 1,500,545 2,700,981 4,501,635 8,102,943 13,504,905 40,514,715

Collatz Trajectory (245 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

40,514,715 121,544,146 60,772,073 182,316,220 91,158,110 45,579,055 136,737,166 68,368,583 205,105,750 102,552,875 307,658,626 153,829,313 461,487,940 230,743,970 115,371,985 346,115,956 173,057,978 86,528,989 259,586,968 129,793,484 64,896,742 32,448,371 97,345,114 48,672,557 146,017,672 73,008,836 36,504,418 18,252,209 54,756,628 27,378,314 13,689,157 41,067,472 20,533,736 10,266,868 5,133,434 2,566,717 7,700,152 3,850,076 1,925,038 962,519 2,887,558 1,443,779 4,331,338 2,165,669 6,497,008 3,248,504 1,624,252 812,126 406,063 1,218,190 609,095 1,827,286 913,643 2,740,930 1,370,465 4,111,396 2,055,698 1,027,849 3,083,548 1,541,774

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