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Atlas › Integer Profiles › Node 20,162,336

20,162,336

25 × 37 × 17029
Abundant Even Composite

20,162,336 factors as 2^5 × 37 × 17029. Its 24 positive divisors give a proper-divisor sum of 20,607,484, so this integer is abundant. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2^5 × 37 × 17029
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 40,769,820
Proper Divisor Sum 20,607,484
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #20162333 ← → #20162339

Radix Representation

Decimal 20162336
Binary 1001100111010011100100000 (25 bits)
Octal 0o114723440
Hexadecimal 0x133A720

Divisor Catalog (24)

1 2 4 8 16 32 37 74 148 296 592 1,184 17,029 34,058 68,116 136,232 272,464 544,928 630,073 1,260,146 2,520,292 5,040,584 10,081,168 20,162,336

Collatz Trajectory (208 steps to reach 1)

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

20,162,336 10,081,168 5,040,584 2,520,292 1,260,146 630,073 1,890,220 945,110 472,555 1,417,666 708,833 2,126,500 1,063,250 531,625 1,594,876 797,438 398,719 1,196,158 598,079 1,794,238 897,119 2,691,358 1,345,679 4,037,038 2,018,519 6,055,558 3,027,779 9,083,338 4,541,669 13,625,008 6,812,504 3,406,252 1,703,126 851,563 2,554,690 1,277,345 3,832,036 1,916,018 958,009 2,874,028 1,437,014 718,507 2,155,522 1,077,761 3,233,284 1,616,642 808,321 2,424,964 1,212,482 606,241 1,818,724 909,362 454,681 1,364,044 682,022 341,011 1,023,034 511,517 1,534,552 767,276

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