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Atlas › Integer Profiles › Node 12,920,980

12,920,980

22 × 5 × 127 × 5087
Abundant Even Composite

12,920,980 factors as 2^2 × 5 × 127 × 5087. Its 24 positive divisors give a proper-divisor sum of 14,432,108, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 127 × 5087
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 27,353,088
Proper Divisor Sum 14,432,108
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #12920977 ← → #12920993

Radix Representation

Decimal 12920980
Binary 110001010010100010010100 (24 bits)
Octal 0o61224224
Hexadecimal 0xC52894

Divisor Catalog (24)

1 2 4 5 10 20 127 254 508 635 1,270 2,540 5,087 10,174 20,348 25,435 50,870 101,740 646,049 1,292,098 2,584,196 3,230,245 6,460,490 12,920,980

Collatz Trajectory (166 steps to reach 1)

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

12,920,980 6,460,490 3,230,245 9,690,736 4,845,368 2,422,684 1,211,342 605,671 1,817,014 908,507 2,725,522 1,362,761 4,088,284 2,044,142 1,022,071 3,066,214 1,533,107 4,599,322 2,299,661 6,898,984 3,449,492 1,724,746 862,373 2,587,120 1,293,560 646,780 323,390 161,695 485,086 242,543 727,630 363,815 1,091,446 545,723 1,637,170 818,585 2,455,756 1,227,878 613,939 1,841,818 920,909 2,762,728 1,381,364 690,682 345,341 1,036,024 518,012 259,006 129,503 388,510 194,255 582,766 291,383 874,150 437,075 1,311,226 655,613 1,966,840 983,420 491,710

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