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37,101,312

28 × 32 × 16103
Abundant Even Composite

37,101,312 factors as 2^8 × 3^2 × 16103. Its 54 positive divisors give a proper-divisor sum of 69,877,560, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^8 × 3^2 × 16103
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 106,978,872
Proper Divisor Sum 69,877,560
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #37101307 ← → #37101313

Radix Representation

Decimal 37101312
Binary 10001101100001111100000000 (26 bits)
Octal 0o215417400
Hexadecimal 0x2361F00

Divisor Catalog (54)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1,152 2,304 16,103 32,206 48,309 64,412 96,618 128,824 144,927 193,236 257,648 289,854 386,472 515,296 579,708 772,944 1,030,592 1,159,416 1,545,888 2,061,184 2,318,832 3,091,776 4,122,368 4,637,664 6,183,552 9,275,328 12,367,104 18,550,656 37,101,312

Collatz Trajectory (103 steps to reach 1)

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

37,101,312 18,550,656 9,275,328 4,637,664 2,318,832 1,159,416 579,708 289,854 144,927 434,782 217,391 652,174 326,087 978,262 489,131 1,467,394 733,697 2,201,092 1,100,546 550,273 1,650,820 825,410 412,705 1,238,116 619,058 309,529 928,588 464,294 232,147 696,442 348,221 1,044,664 522,332 261,166 130,583 391,750 195,875 587,626 293,813 881,440 440,720 220,360 110,180 55,090 27,545 82,636 41,318 20,659 61,978 30,989 92,968 46,484 23,242 11,621 34,864 17,432 8,716 4,358 2,179 6,538

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