12,633,824

2⁵ × 7 × 56401

12,633,824 factors as 2^5 × 7 × 56401. Its 24 positive divisors give a proper-divisor sum of 15,792,784, so this integer is abundant. The Collatz stopping time is 272 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 56401

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 28,426,608

Proper Divisor Sum 15,792,784

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #12633823 ← → #12633827

Radix Representation

Decimal	12633824
Binary	110000001100011011100000 (24 bits)
Octal	0o60143340
Hexadecimal	0xC0C6E0

Divisor Catalog (24)

Collatz Trajectory (272 steps to reach 1)

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

12,633,824 6,316,912 3,158,456 1,579,228 789,614 394,807 1,184,422 592,211 1,776,634 888,317 2,664,952 1,332,476 666,238 333,119 999,358 499,679 1,499,038 749,519 2,248,558 1,124,279 3,372,838 1,686,419 5,059,258 2,529,629 7,588,888 3,794,444 1,897,222 948,611 2,845,834 1,422,917 4,268,752 2,134,376 1,067,188 533,594 266,797 800,392 400,196 200,098 100,049 300,148 150,074 75,037 225,112 112,556 56,278 28,139 84,418 42,209 126,628 63,314 31,657 94,972 47,486 23,743 71,230 35,615 106,846 53,423 160,270 80,135

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