41,500,536

2³ × 3 × 7 × 11 × 17 × 1321

41,500,536 factors as 2^3 × 3 × 7 × 11 × 17 × 1321. Its 128 positive divisors give a proper-divisor sum of 95,564,424, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 11 × 17 × 1321

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 137,064,960

Proper Divisor Sum 95,564,424

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #41500531 ← → #41500601

Radix Representation

Decimal	41500536
Binary	10011110010011111101111000 (26 bits)
Octal	0o236237570
Hexadecimal	0x2793F78

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 33 34 42 44 51 56 66 68 77 84 88 102 119 132 136 154 168 187 204 231 238 264 308 357 374 408 462 476 561 616 714 748 924 952 1,122 1,309 1,321 1,428 1,496 1,848 2,244 2,618 2,642 2,856 3,927

Collatz Trajectory (222 steps to reach 1)

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

41,500,536 20,750,268 10,375,134 5,187,567 15,562,702 7,781,351 23,344,054 11,672,027 35,016,082 17,508,041 52,524,124 26,262,062 13,131,031 39,393,094 19,696,547 59,089,642 29,544,821 88,634,464 44,317,232 22,158,616 11,079,308 5,539,654 2,769,827 8,309,482 4,154,741 12,464,224 6,232,112 3,116,056 1,558,028 779,014 389,507 1,168,522 584,261 1,752,784 876,392 438,196 219,098 109,549 328,648 164,324 82,162 41,081 123,244 61,622 30,811 92,434 46,217 138,652 69,326 34,663 103,990 51,995 155,986 77,993 233,980 116,990 58,495 175,486 87,743 263,230

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