42,944,980

2² × 5 × 13 × 165173

42,944,980 factors as 2^2 × 5 × 13 × 165173. Its 24 positive divisors give a proper-divisor sum of 54,177,332, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 165173

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 97,122,312

Proper Divisor Sum 54,177,332

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #42944977 ← → #42945017

Radix Representation

Decimal	42944980
Binary	10100011110100100111010100 (26 bits)
Octal	0o243644724
Hexadecimal	0x28F49D4

Divisor Catalog (24)

Collatz Trajectory (98 steps to reach 1)

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

42,944,980 21,472,490 10,736,245 32,208,736 16,104,368 8,052,184 4,026,092 2,013,046 1,006,523 3,019,570 1,509,785 4,529,356 2,264,678 1,132,339 3,397,018 1,698,509 5,095,528 2,547,764 1,273,882 636,941 1,910,824 955,412 477,706 238,853 716,560 358,280 179,140 89,570 44,785 134,356 67,178 33,589 100,768 50,384 25,192 12,596 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211

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