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Atlas › Integer Profiles › Node 32,086,624

32,086,624

25 × 53 × 18919
Abundant Even Composite

32,086,624 factors as 2^5 × 53 × 18919. Its 24 positive divisors give a proper-divisor sum of 32,279,216, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^5 × 53 × 18919
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 64,365,840
Proper Divisor Sum 32,279,216
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #32086609 ← → #32086631

Radix Representation

Decimal 32086624
Binary 1111010011001101001100000 (25 bits)
Octal 0o172315140
Hexadecimal 0x1E99A60

Divisor Catalog (24)

1 2 4 8 16 32 53 106 212 424 848 1,696 18,919 37,838 75,676 151,352 302,704 605,408 1,002,707 2,005,414 4,010,828 8,021,656 16,043,312 32,086,624

Collatz Trajectory (144 steps to reach 1)

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

32,086,624 16,043,312 8,021,656 4,010,828 2,005,414 1,002,707 3,008,122 1,504,061 4,512,184 2,256,092 1,128,046 564,023 1,692,070 846,035 2,538,106 1,269,053 3,807,160 1,903,580 951,790 475,895 1,427,686 713,843 2,141,530 1,070,765 3,212,296 1,606,148 803,074 401,537 1,204,612 602,306 301,153 903,460 451,730 225,865 677,596 338,798 169,399 508,198 254,099 762,298 381,149 1,143,448 571,724 285,862 142,931 428,794 214,397 643,192 321,596 160,798 80,399 241,198 120,599 361,798 180,899 542,698 271,349 814,048 407,024 203,512

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