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Atlas › Integer Profiles › Node 12,119,984

12,119,984

24 × 47 × 71 × 227
Abundant Even Composite

12,119,984 factors as 2^4 × 47 × 71 × 227. Its 40 positive divisors give a proper-divisor sum of 12,307,024, so this integer is abundant. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 2^4 × 47 × 71 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 24,427,008
Proper Divisor Sum 12,307,024
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #12119983 ← → #12119993

Radix Representation

Decimal 12119984
Binary 101110001110111110110000 (24 bits)
Octal 0o56167660
Hexadecimal 0xB8EFB0

Divisor Catalog (40)

1 2 4 8 16 47 71 94 142 188 227 284 376 454 568 752 908 1,136 1,816 3,337 3,632 6,674 10,669 13,348 16,117 21,338 26,696 32,234 42,676 53,392 64,468 85,352 128,936 170,704 257,872 757,499 1,514,998 3,029,996 6,059,992 12,119,984

Collatz Trajectory (228 steps to reach 1)

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

12,119,984 6,059,992 3,029,996 1,514,998 757,499 2,272,498 1,136,249 3,408,748 1,704,374 852,187 2,556,562 1,278,281 3,834,844 1,917,422 958,711 2,876,134 1,438,067 4,314,202 2,157,101 6,471,304 3,235,652 1,617,826 808,913 2,426,740 1,213,370 606,685 1,820,056 910,028 455,014 227,507 682,522 341,261 1,023,784 511,892 255,946 127,973 383,920 191,960 95,980 47,990 23,995 71,986 35,993 107,980 53,990 26,995 80,986 40,493 121,480 60,740 30,370 15,185 45,556 22,778 11,389 34,168 17,084 8,542 4,271 12,814

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