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Atlas › Integer Profiles › Node 21,397,600

21,397,600

25 × 52 × 7 × 3821
Abundant Even Composite

21,397,600 factors as 2^5 × 5^2 × 7 × 3821. Its 72 positive divisors give a proper-divisor sum of 38,317,328, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^5 × 5^2 × 7 × 3821
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 59,714,928
Proper Divisor Sum 38,317,328
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #21397573 ← → #21397601

Radix Representation

Decimal 21397600
Binary 1010001101000000001100000 (25 bits)
Octal 0o121500140
Hexadecimal 0x1468060

Divisor Catalog (60 of 72)

1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1,120 1,400 2,800 3,821 5,600 7,642 15,284 19,105 26,747 30,568 38,210 53,494 61,136 76,420 95,525 106,988 122,272 133,735 152,840 191,050 213,976 267,470 305,680 382,100 427,952 534,940 611,360 668,675

Collatz Trajectory (159 steps to reach 1)

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

21,397,600 10,698,800 5,349,400 2,674,700 1,337,350 668,675 2,006,026 1,003,013 3,009,040 1,504,520 752,260 376,130 188,065 564,196 282,098 141,049 423,148 211,574 105,787 317,362 158,681 476,044 238,022 119,011 357,034 178,517 535,552 267,776 133,888 66,944 33,472 16,736 8,368 4,184 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107

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