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Atlas › Integer Profiles › Node 12,088,636

12,088,636

22 × 7 × 19 × 31 × 733
Abundant Even Composite

12,088,636 factors as 2^2 × 7 × 19 × 31 × 733. Its 48 positive divisors give a proper-divisor sum of 14,217,924, so this integer is abundant. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 19 × 31 × 733
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,306,560
Proper Divisor Sum 14,217,924
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #12088631 ← → #12088651

Radix Representation

Decimal 12088636
Binary 101110000111010100111100 (24 bits)
Octal 0o56072474
Hexadecimal 0xB8753C

Divisor Catalog (48)

1 2 4 7 14 19 28 31 38 62 76 124 133 217 266 434 532 589 733 868 1,178 1,466 2,356 2,932 4,123 5,131 8,246 10,262 13,927 16,492 20,524 22,723 27,854 45,446 55,708 90,892 97,489 159,061 194,978 318,122 389,956 431,737 636,244 863,474 1,726,948 3,022,159 6,044,318 12,088,636

Collatz Trajectory (215 steps to reach 1)

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

12,088,636 6,044,318 3,022,159 9,066,478 4,533,239 13,599,718 6,799,859 20,399,578 10,199,789 30,599,368 15,299,684 7,649,842 3,824,921 11,474,764 5,737,382 2,868,691 8,606,074 4,303,037 12,909,112 6,454,556 3,227,278 1,613,639 4,840,918 2,420,459 7,261,378 3,630,689 10,892,068 5,446,034 2,723,017 8,169,052 4,084,526 2,042,263 6,126,790 3,063,395 9,190,186 4,595,093 13,785,280 6,892,640 3,446,320 1,723,160 861,580 430,790 215,395 646,186 323,093 969,280 484,640 242,320 121,160 60,580 30,290 15,145 45,436 22,718 11,359 34,078 17,039 51,118 25,559 76,678

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