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Atlas › Integer Profiles › Node 11,640,928

11,640,928

25 × 13 × 27983
Abundant Even Composite

11,640,928 factors as 2^5 × 13 × 27983. Its 24 positive divisors give a proper-divisor sum of 13,040,960, so this integer is abundant. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 27983
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 24,681,888
Proper Divisor Sum 13,040,960
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #11640899 ← → #11640931

Radix Representation

Decimal 11640928
Binary 101100011010000001100000 (24 bits)
Octal 0o54320140
Hexadecimal 0xB1A060

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 27,983 55,966 111,932 223,864 363,779 447,728 727,558 895,456 1,455,116 2,910,232 5,820,464 11,640,928

Collatz Trajectory (215 steps to reach 1)

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

11,640,928 5,820,464 2,910,232 1,455,116 727,558 363,779 1,091,338 545,669 1,637,008 818,504 409,252 204,626 102,313 306,940 153,470 76,735 230,206 115,103 345,310 172,655 517,966 258,983 776,950 388,475 1,165,426 582,713 1,748,140 874,070 437,035 1,311,106 655,553 1,966,660 983,330 491,665 1,474,996 737,498 368,749 1,106,248 553,124 276,562 138,281 414,844 207,422 103,711 311,134 155,567 466,702 233,351 700,054 350,027 1,050,082 525,041 1,575,124 787,562 393,781 1,181,344 590,672 295,336 147,668 73,834

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