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Atlas › Integer Profiles › Node 12,361,888

12,361,888

25 × 7 × 11 × 29 × 173
Abundant Even Composite

12,361,888 factors as 2^5 × 7 × 11 × 29 × 173. Its 96 positive divisors give a proper-divisor sum of 19,208,672, so this integer is abundant. The Collatz stopping time is 52 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 11 × 29 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 31,570,560
Proper Divisor Sum 19,208,672
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #12361883 ← → #12361889

Radix Representation

Decimal 12361888
Binary 101111001010000010100000 (24 bits)
Octal 0o57120240
Hexadecimal 0xBCA0A0

Divisor Catalog (60 of 96)

1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 77 88 112 116 154 173 176 203 224 232 308 319 346 352 406 464 616 638 692 812 928 1,211 1,232 1,276 1,384 1,624 1,903 2,233 2,422 2,464 2,552 2,768 3,248 3,806 4,466 4,844 5,017 5,104 5,536 6,496 7,612 8,932 9,688 10,034 10,208

Collatz Trajectory (52 steps to reach 1)

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

12,361,888 6,180,944 3,090,472 1,545,236 772,618 386,309 1,158,928 579,464 289,732 144,866 72,433 217,300 108,650 54,325 162,976 81,488 40,744 20,372 10,186 5,093 15,280 7,640 3,820 1,910 955 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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