15,882,790

2 × 5 × 7 × 11 × 20627

15,882,790 factors as 2 × 5 × 7 × 11 × 20627. Its 32 positive divisors give a proper-divisor sum of 19,762,394, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 11 × 20627

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 35,645,184

Proper Divisor Sum 19,762,394

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #15882773 ← → #15882791

Radix Representation

Decimal	15882790
Binary	111100100101101000100110 (24 bits)
Octal	0o74455046
Hexadecimal	0xF25A26

Divisor Catalog (32)

Collatz Trajectory (125 steps to reach 1)

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

15,882,790 7,941,395 23,824,186 11,912,093 35,736,280 17,868,140 8,934,070 4,467,035 13,401,106 6,700,553 20,101,660 10,050,830 5,025,415 15,076,246 7,538,123 22,614,370 11,307,185 33,921,556 16,960,778 8,480,389 25,441,168 12,720,584 6,360,292 3,180,146 1,590,073 4,770,220 2,385,110 1,192,555 3,577,666 1,788,833 5,366,500 2,683,250 1,341,625 4,024,876 2,012,438 1,006,219 3,018,658 1,509,329 4,527,988 2,263,994 1,131,997 3,395,992 1,697,996 848,998 424,499 1,273,498 636,749 1,910,248 955,124 477,562 238,781 716,344 358,172 179,086 89,543 268,630 134,315 402,946 201,473 604,420

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