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Atlas › Integer Profiles › Node 12,376,656

12,376,656

24 × 32 × 61 × 1409
Abundant Even Composite

12,376,656 factors as 2^4 × 3^2 × 61 × 1409. Its 60 positive divisors give a proper-divisor sum of 22,853,604, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 61 × 1409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 35,230,260
Proper Divisor Sum 22,853,604
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #12376603 ← → #12376667

Radix Representation

Decimal 12376656
Binary 101111001101101001010000 (24 bits)
Octal 0o57155120
Hexadecimal 0xBCDA50

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1,098 1,409 1,464 2,196 2,818 2,928 4,227 4,392 5,636 8,454 8,784 11,272 12,681 16,908 22,544 25,362 33,816 50,724 67,632 85,949 101,448 171,898 202,896 257,847 343,796 515,694 687,592 773,541 1,031,388 1,375,184 1,547,082 2,062,776 3,094,164 4,125,552 6,188,328 12,376,656

Collatz Trajectory (91 steps to reach 1)

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

12,376,656 6,188,328 3,094,164 1,547,082 773,541 2,320,624 1,160,312 580,156 290,078 145,039 435,118 217,559 652,678 326,339 979,018 489,509 1,468,528 734,264 367,132 183,566 91,783 275,350 137,675 413,026 206,513 619,540 309,770 154,885 464,656 232,328 116,164 58,082 29,041 87,124 43,562 21,781 65,344 32,672 16,336 8,168 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120

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