λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,501,762

12,501,762

2 × 3 × 72 × 13 × 3271
Abundant Even Composite

12,501,762 factors as 2 × 3 × 7^2 × 13 × 3271. Its 48 positive divisors give a proper-divisor sum of 18,830,910, so this integer is abundant. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 13 × 3271
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 31,332,672
Proper Divisor Sum 18,830,910
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #12501739 ← → #12501779

Radix Representation

Decimal 12501762
Binary 101111101100001100000010 (24 bits)
Octal 0o57541402
Hexadecimal 0xBEC302

Divisor Catalog (48)

1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1,274 1,911 3,271 3,822 6,542 9,813 19,626 22,897 42,523 45,794 68,691 85,046 127,569 137,382 160,279 255,138 297,661 320,558 480,837 595,322 892,983 961,674 1,785,966 2,083,627 4,167,254 6,250,881 12,501,762

Collatz Trajectory (228 steps to reach 1)

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

12,501,762 6,250,881 18,752,644 9,376,322 4,688,161 14,064,484 7,032,242 3,516,121 10,548,364 5,274,182 2,637,091 7,911,274 3,955,637 11,866,912 5,933,456 2,966,728 1,483,364 741,682 370,841 1,112,524 556,262 278,131 834,394 417,197 1,251,592 625,796 312,898 156,449 469,348 234,674 117,337 352,012 176,006 88,003 264,010 132,005 396,016 198,008 99,004 49,502 24,751 74,254 37,127 111,382 55,691 167,074 83,537 250,612 125,306 62,653 187,960 93,980 46,990 23,495 70,486 35,243 105,730 52,865 158,596 79,298

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #12,501,761 Browse Full Index Next Integer #12,501,763 →