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Atlas › Integer Profiles › Node 15,631,648

15,631,648

25 × 557 × 877
Deficient Even Composite

15,631,648 factors as 2^5 × 557 × 877. Its 24 positive divisors give a proper-divisor sum of 15,233,564, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^5 × 557 × 877
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 30,865,212
Proper Divisor Sum 15,233,564
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #15631643 ← → #15631663

Radix Representation

Decimal 15631648
Binary 111011101000010100100000 (24 bits)
Octal 0o73502440
Hexadecimal 0xEE8520

Divisor Catalog (24)

1 2 4 8 16 32 557 877 1,114 1,754 2,228 3,508 4,456 7,016 8,912 14,032 17,824 28,064 488,489 976,978 1,953,956 3,907,912 7,815,824 15,631,648

Collatz Trajectory (125 steps to reach 1)

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

15,631,648 7,815,824 3,907,912 1,953,956 976,978 488,489 1,465,468 732,734 366,367 1,099,102 549,551 1,648,654 824,327 2,472,982 1,236,491 3,709,474 1,854,737 5,564,212 2,782,106 1,391,053 4,173,160 2,086,580 1,043,290 521,645 1,564,936 782,468 391,234 195,617 586,852 293,426 146,713 440,140 220,070 110,035 330,106 165,053 495,160 247,580 123,790 61,895 185,686 92,843 278,530 139,265 417,796 208,898 104,449 313,348 156,674 78,337 235,012 117,506 58,753 176,260 88,130 44,065 132,196 66,098 33,049 99,148

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