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Atlas › Integer Profiles › Node 12,372,288

12,372,288

26 × 3 × 64439
Abundant Even Composite

12,372,288 factors as 2^6 × 3 × 64439. Its 28 positive divisors give a proper-divisor sum of 20,363,232, so this integer is abundant. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 64439
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 32,735,520
Proper Divisor Sum 20,363,232
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #12372271 ← → #12372289

Radix Representation

Decimal 12372288
Binary 101111001100100101000000 (24 bits)
Octal 0o57144500
Hexadecimal 0xBCC940

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 64,439 128,878 193,317 257,756 386,634 515,512 773,268 1,031,024 1,546,536 2,062,048 3,093,072 4,124,096 6,186,144 12,372,288

Collatz Trajectory (197 steps to reach 1)

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

12,372,288 6,186,144 3,093,072 1,546,536 773,268 386,634 193,317 579,952 289,976 144,988 72,494 36,247 108,742 54,371 163,114 81,557 244,672 122,336 61,168 30,584 15,292 7,646 3,823 11,470 5,735 17,206 8,603 25,810 12,905 38,716 19,358 9,679 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085

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