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Atlas › Integer Profiles › Node 12,867,488

12,867,488

25 × 23 × 17483
Abundant Even Composite

12,867,488 factors as 2^5 × 23 × 17483. Its 24 positive divisors give a proper-divisor sum of 13,568,320, so this integer is abundant. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2^5 × 23 × 17483
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 26,435,808
Proper Divisor Sum 13,568,320
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #12867473 ← → #12867493

Radix Representation

Decimal 12867488
Binary 110001000101011110100000 (24 bits)
Octal 0o61053640
Hexadecimal 0xC457A0

Divisor Catalog (24)

1 2 4 8 16 23 32 46 92 184 368 736 17,483 34,966 69,932 139,864 279,728 402,109 559,456 804,218 1,608,436 3,216,872 6,433,744 12,867,488

Collatz Trajectory (210 steps to reach 1)

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

12,867,488 6,433,744 3,216,872 1,608,436 804,218 402,109 1,206,328 603,164 301,582 150,791 452,374 226,187 678,562 339,281 1,017,844 508,922 254,461 763,384 381,692 190,846 95,423 286,270 143,135 429,406 214,703 644,110 322,055 966,166 483,083 1,449,250 724,625 2,173,876 1,086,938 543,469 1,630,408 815,204 407,602 203,801 611,404 305,702 152,851 458,554 229,277 687,832 343,916 171,958 85,979 257,938 128,969 386,908 193,454 96,727 290,182 145,091 435,274 217,637 652,912 326,456 163,228 81,614

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