52,596,726

2 × 3 × 7 × 13 × 96331

52,596,726 factors as 2 × 3 × 7 × 13 × 96331. Its 32 positive divisors give a proper-divisor sum of 76,873,482, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 96331

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 129,470,208

Proper Divisor Sum 76,873,482

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #52596707 ← → #52596779

Radix Representation

Decimal	52596726
Binary	11001000101000111111110110 (26 bits)
Octal	0o310507766
Hexadecimal	0x3228FF6

Divisor Catalog (32)

Collatz Trajectory (225 steps to reach 1)

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

52,596,726 26,298,363 78,895,090 39,447,545 118,342,636 59,171,318 29,585,659 88,756,978 44,378,489 133,135,468 66,567,734 33,283,867 99,851,602 49,925,801 149,777,404 74,888,702 37,444,351 112,333,054 56,166,527 168,499,582 84,249,791 252,749,374 126,374,687 379,124,062 189,562,031 568,686,094 284,343,047 853,029,142 426,514,571 1,279,543,714 639,771,857 1,919,315,572 959,657,786 479,828,893 1,439,486,680 719,743,340 359,871,670 179,935,835 539,807,506 269,903,753 809,711,260 404,855,630 202,427,815 607,283,446 303,641,723 910,925,170 455,462,585 1,366,387,756 683,193,878 341,596,939 1,024,790,818 512,395,409 1,537,186,228 768,593,114 384,296,557 1,152,889,672 576,444,836 288,222,418 144,111,209 432,333,628

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