52,596,680

2³ × 5 × 1314917

52,596,680 factors as 2^3 × 5 × 1314917. Its 16 positive divisors give a proper-divisor sum of 65,745,940, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 1314917

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 118,342,620

Proper Divisor Sum 65,745,940

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #52596679 ← → #52596683

Radix Representation

Decimal	52596680
Binary	11001000101000111111001000 (26 bits)
Octal	0o310507710
Hexadecimal	0x3228FC8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 1,314,917 2,629,834 5,259,668 6,574,585 10,519,336 13,149,170 26,298,340 52,596,680

Collatz Trajectory (155 steps to reach 1)

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

52,596,680 26,298,340 13,149,170 6,574,585 19,723,756 9,861,878 4,930,939 14,792,818 7,396,409 22,189,228 11,094,614 5,547,307 16,641,922 8,320,961 24,962,884 12,481,442 6,240,721 18,722,164 9,361,082 4,680,541 14,041,624 7,020,812 3,510,406 1,755,203 5,265,610 2,632,805 7,898,416 3,949,208 1,974,604 987,302 493,651 1,480,954 740,477 2,221,432 1,110,716 555,358 277,679 833,038 416,519 1,249,558 624,779 1,874,338 937,169 2,811,508 1,405,754 702,877 2,108,632 1,054,316 527,158 263,579 790,738 395,369 1,186,108 593,054 296,527 889,582 444,791 1,334,374 667,187 2,001,562

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