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11,537,440

25 × 5 × 72109
Abundant Even Composite

11,537,440 factors as 2^5 × 5 × 72109. Its 24 positive divisors give a proper-divisor sum of 15,720,140, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 72109
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 27,257,580
Proper Divisor Sum 15,720,140
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #11537399 ← → #11537443

Radix Representation

Decimal 11537440
Binary 101100000000110000100000 (24 bits)
Octal 0o54006040
Hexadecimal 0xB00C20

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 72,109 144,218 288,436 360,545 576,872 721,090 1,153,744 1,442,180 2,307,488 2,884,360 5,768,720 11,537,440

Collatz Trajectory (127 steps to reach 1)

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

11,537,440 5,768,720 2,884,360 1,442,180 721,090 360,545 1,081,636 540,818 270,409 811,228 405,614 202,807 608,422 304,211 912,634 456,317 1,368,952 684,476 342,238 171,119 513,358 256,679 770,038 385,019 1,155,058 577,529 1,732,588 866,294 433,147 1,299,442 649,721 1,949,164 974,582 487,291 1,461,874 730,937 2,192,812 1,096,406 548,203 1,644,610 822,305 2,466,916 1,233,458 616,729 1,850,188 925,094 462,547 1,387,642 693,821 2,081,464 1,040,732 520,366 260,183 780,550 390,275 1,170,826 585,413 1,756,240 878,120 439,060

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