3,760,092

2² × 3² × 7 × 43 × 347

For 3,760,092, the 72 positive divisors have a total of 11,147,136. Removing 3,760,092 leaves 7,387,044, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 43 × 347

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 11,147,136

Proper Divisor Sum 7,387,044

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3760079 ← → #3760103

Radix Representation

Decimal	3760092
Binary	1110010101111111011100 (22 bits)
Octal	0o16257734
Hexadecimal	0x395FDC

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 347 387 516 602 694 774 903 1,041 1,204 1,388 1,548 1,806 2,082 2,429 2,709 3,123 3,612 4,164 4,858 5,418 6,246 7,287 9,716 10,836 12,492 14,574 14,921 21,861 29,148 29,842 43,722 44,763 59,684 87,444 89,526 104,447

Collatz Trajectory (216 steps to reach 1)

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

3,760,092 1,880,046 940,023 2,820,070 1,410,035 4,230,106 2,115,053 6,345,160 3,172,580 1,586,290 793,145 2,379,436 1,189,718 594,859 1,784,578 892,289 2,676,868 1,338,434 669,217 2,007,652 1,003,826 501,913 1,505,740 752,870 376,435 1,129,306 564,653 1,693,960 846,980 423,490 211,745 635,236 317,618 158,809 476,428 238,214 119,107 357,322 178,661 535,984 267,992 133,996 66,998 33,499 100,498 50,249 150,748 75,374 37,687 113,062 56,531 169,594 84,797 254,392 127,196 63,598 31,799 95,398 47,699 143,098

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