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Atlas › Integer Profiles › Node 21,382,280

21,382,280

23 × 5 × 29 × 18433
Abundant Even Composite

21,382,280 factors as 2^3 × 5 × 29 × 18433. Its 32 positive divisors give a proper-divisor sum of 28,389,520, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 29 × 18433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 49,771,800
Proper Divisor Sum 28,389,520
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #21382271 ← → #21382297

Radix Representation

Decimal 21382280
Binary 1010001100100010010001000 (25 bits)
Octal 0o121442210
Hexadecimal 0x1464488

Divisor Catalog (32)

1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1,160 18,433 36,866 73,732 92,165 147,464 184,330 368,660 534,557 737,320 1,069,114 2,138,228 2,672,785 4,276,456 5,345,570 10,691,140 21,382,280

Collatz Trajectory (146 steps to reach 1)

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

21,382,280 10,691,140 5,345,570 2,672,785 8,018,356 4,009,178 2,004,589 6,013,768 3,006,884 1,503,442 751,721 2,255,164 1,127,582 563,791 1,691,374 845,687 2,537,062 1,268,531 3,805,594 1,902,797 5,708,392 2,854,196 1,427,098 713,549 2,140,648 1,070,324 535,162 267,581 802,744 401,372 200,686 100,343 301,030 150,515 451,546 225,773 677,320 338,660 169,330 84,665 253,996 126,998 63,499 190,498 95,249 285,748 142,874 71,437 214,312 107,156 53,578 26,789 80,368 40,184 20,092 10,046 5,023 15,070 7,535 22,606

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