23,947,330

2 × 5 × 11 × 29 × 7507

23,947,330 factors as 2 × 5 × 11 × 29 × 7507. Its 32 positive divisors give a proper-divisor sum of 24,704,510, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 29 × 7507

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 48,651,840

Proper Divisor Sum 24,704,510

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #23947309 ← → #23947331

Radix Representation

Decimal	23947330
Binary	1011011010110100001000010 (25 bits)
Octal	0o133264102
Hexadecimal	0x16D6842

Divisor Catalog (32)

Collatz Trajectory (141 steps to reach 1)

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

23,947,330 11,973,665 35,920,996 17,960,498 8,980,249 26,940,748 13,470,374 6,735,187 20,205,562 10,102,781 30,308,344 15,154,172 7,577,086 3,788,543 11,365,630 5,682,815 17,048,446 8,524,223 25,572,670 12,786,335 38,359,006 19,179,503 57,538,510 28,769,255 86,307,766 43,153,883 129,461,650 64,730,825 194,192,476 97,096,238 48,548,119 145,644,358 72,822,179 218,466,538 109,233,269 327,699,808 163,849,904 81,924,952 40,962,476 20,481,238 10,240,619 30,721,858 15,360,929 46,082,788 23,041,394 11,520,697 34,562,092 17,281,046 8,640,523 25,921,570 12,960,785 38,882,356 19,441,178 9,720,589 29,161,768 14,580,884 7,290,442 3,645,221 10,935,664 5,467,832

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