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Atlas › Integer Profiles › Node 12,759,558

12,759,558

2 × 3 × 7 × 461 × 659
Abundant Even Composite

12,759,558 factors as 2 × 3 × 7 × 461 × 659. Its 32 positive divisors give a proper-divisor sum of 16,512,762, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 461 × 659
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,272,320
Proper Divisor Sum 16,512,762
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #12759557 ← → #12759587

Radix Representation

Decimal 12759558
Binary 110000101011001000000110 (24 bits)
Octal 0o60531006
Hexadecimal 0xC2B206

Divisor Catalog (32)

1 2 3 6 7 14 21 42 461 659 922 1,318 1,383 1,977 2,766 3,227 3,954 4,613 6,454 9,226 9,681 13,839 19,362 27,678 303,799 607,598 911,397 1,822,794 2,126,593 4,253,186 6,379,779 12,759,558

Collatz Trajectory (104 steps to reach 1)

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

12,759,558 6,379,779 19,139,338 9,569,669 28,709,008 14,354,504 7,177,252 3,588,626 1,794,313 5,382,940 2,691,470 1,345,735 4,037,206 2,018,603 6,055,810 3,027,905 9,083,716 4,541,858 2,270,929 6,812,788 3,406,394 1,703,197 5,109,592 2,554,796 1,277,398 638,699 1,916,098 958,049 2,874,148 1,437,074 718,537 2,155,612 1,077,806 538,903 1,616,710 808,355 2,425,066 1,212,533 3,637,600 1,818,800 909,400 454,700 227,350 113,675 341,026 170,513 511,540 255,770 127,885 383,656 191,828 95,914 47,957 143,872 71,936 35,968 17,984 8,992 4,496 2,248

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