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Atlas › Integer Profiles › Node 10,562,912

10,562,912

25 × 41 × 83 × 97
Abundant Even Composite

10,562,912 factors as 2^5 × 41 × 83 × 97. Its 48 positive divisors give a proper-divisor sum of 11,218,960, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^5 × 41 × 83 × 97
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,781,872
Proper Divisor Sum 11,218,960
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #10562897 ← → #10562927

Radix Representation

Decimal 10562912
Binary 101000010010110101100000 (24 bits)
Octal 0o50226540
Hexadecimal 0xA12D60

Divisor Catalog (48)

1 2 4 8 16 32 41 82 83 97 164 166 194 328 332 388 656 664 776 1,312 1,328 1,552 2,656 3,104 3,403 3,977 6,806 7,954 8,051 13,612 15,908 16,102 27,224 31,816 32,204 54,448 63,632 64,408 108,896 127,264 128,816 257,632 330,091 660,182 1,320,364 2,640,728 5,281,456 10,562,912

Collatz Trajectory (189 steps to reach 1)

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

10,562,912 5,281,456 2,640,728 1,320,364 660,182 330,091 990,274 495,137 1,485,412 742,706 371,353 1,114,060 557,030 278,515 835,546 417,773 1,253,320 626,660 313,330 156,665 469,996 234,998 117,499 352,498 176,249 528,748 264,374 132,187 396,562 198,281 594,844 297,422 148,711 446,134 223,067 669,202 334,601 1,003,804 501,902 250,951 752,854 376,427 1,129,282 564,641 1,693,924 846,962 423,481 1,270,444 635,222 317,611 952,834 476,417 1,429,252 714,626 357,313 1,071,940 535,970 267,985 803,956 401,978

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