λ
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Atlas › Integer Profiles › Node 12,445,136

12,445,136

24 × 11 × 31 × 2281
Abundant Even Composite

12,445,136 factors as 2^4 × 11 × 31 × 2281. Its 40 positive divisors give a proper-divisor sum of 14,719,792, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 31 × 2281
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 27,164,928
Proper Divisor Sum 14,719,792
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #12445129 ← → #12445151

Radix Representation

Decimal 12445136
Binary 101111011110010111010000 (24 bits)
Octal 0o57362720
Hexadecimal 0xBDE5D0

Divisor Catalog (40)

1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1,364 2,281 2,728 4,562 5,456 9,124 18,248 25,091 36,496 50,182 70,711 100,364 141,422 200,728 282,844 401,456 565,688 777,821 1,131,376 1,555,642 3,111,284 6,222,568 12,445,136

Collatz Trajectory (166 steps to reach 1)

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

12,445,136 6,222,568 3,111,284 1,555,642 777,821 2,333,464 1,166,732 583,366 291,683 875,050 437,525 1,312,576 656,288 328,144 164,072 82,036 41,018 20,509 61,528 30,764 15,382 7,691 23,074 11,537 34,612 17,306 8,653 25,960 12,980 6,490 3,245 9,736 4,868 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62

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