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Atlas › Integer Profiles › Node 21,392,560

21,392,560

24 × 5 × 7 × 38201
Abundant Even Composite

21,392,560 factors as 2^4 × 5 × 7 × 38201. Its 40 positive divisors give a proper-divisor sum of 35,452,016, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 38201
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 56,844,576
Proper Divisor Sum 35,452,016
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #21392557 ← → #21392563

Radix Representation

Decimal 21392560
Binary 1010001100110110010110000 (25 bits)
Octal 0o121466260
Hexadecimal 0x1466CB0

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 38,201 76,402 152,804 191,005 267,407 305,608 382,010 534,814 611,216 764,020 1,069,628 1,337,035 1,528,040 2,139,256 2,674,070 3,056,080 4,278,512 5,348,140 10,696,280 21,392,560

Collatz Trajectory (120 steps to reach 1)

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

21,392,560 10,696,280 5,348,140 2,674,070 1,337,035 4,011,106 2,005,553 6,016,660 3,008,330 1,504,165 4,512,496 2,256,248 1,128,124 564,062 282,031 846,094 423,047 1,269,142 634,571 1,903,714 951,857 2,855,572 1,427,786 713,893 2,141,680 1,070,840 535,420 267,710 133,855 401,566 200,783 602,350 301,175 903,526 451,763 1,355,290 677,645 2,032,936 1,016,468 508,234 254,117 762,352 381,176 190,588 95,294 47,647 142,942 71,471 214,414 107,207 321,622 160,811 482,434 241,217 723,652 361,826 180,913 542,740 271,370 135,685

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