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Atlas › Integer Profiles › Node 12,365,920

12,365,920

25 × 5 × 7 × 61 × 181
Abundant Even Composite

12,365,920 factors as 2^5 × 5 × 7 × 61 × 181. Its 96 positive divisors give a proper-divisor sum of 21,756,896, so this integer is abundant. The Collatz stopping time is 52 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 61 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 34,122,816
Proper Divisor Sum 21,756,896
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #12365917 ← → #12365923

Radix Representation

Decimal 12365920
Binary 101111001011000001100000 (24 bits)
Octal 0o57130140
Hexadecimal 0xBCB060

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 70 80 112 122 140 160 181 224 244 280 305 362 427 488 560 610 724 854 905 976 1,120 1,220 1,267 1,448 1,708 1,810 1,952 2,135 2,440 2,534 2,896 3,416 3,620 4,270 4,880 5,068 5,792 6,335 6,832 7,240 8,540 9,760 10,136 11,041

Collatz Trajectory (52 steps to reach 1)

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

12,365,920 6,182,960 3,091,480 1,545,740 772,870 386,435 1,159,306 579,653 1,738,960 869,480 434,740 217,370 108,685 326,056 163,028 81,514 40,757 122,272 61,136 30,568 15,284 7,642 3,821 11,464 5,732 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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