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Atlas › Integer Profiles › Node 32,748,924

32,748,924

22 × 3 × 13 × 209929
Abundant Even Composite

32,748,924 factors as 2^2 × 3 × 13 × 209929. Its 24 positive divisors give a proper-divisor sum of 49,543,636, so this integer is abundant. The Collatz stopping time is 232 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 209929
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 82,292,560
Proper Divisor Sum 49,543,636
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #32748923 ← → #32748931

Radix Representation

Decimal 32748924
Binary 1111100111011010101111100 (25 bits)
Octal 0o174732574
Hexadecimal 0x1F3B57C

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 209,929 419,858 629,787 839,716 1,259,574 2,519,148 2,729,077 5,458,154 8,187,231 10,916,308 16,374,462 32,748,924

Collatz Trajectory (232 steps to reach 1)

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

32,748,924 16,374,462 8,187,231 24,561,694 12,280,847 36,842,542 18,421,271 55,263,814 27,631,907 82,895,722 41,447,861 124,343,584 62,171,792 31,085,896 15,542,948 7,771,474 3,885,737 11,657,212 5,828,606 2,914,303 8,742,910 4,371,455 13,114,366 6,557,183 19,671,550 9,835,775 29,507,326 14,753,663 44,260,990 22,130,495 66,391,486 33,195,743 99,587,230 49,793,615 149,380,846 74,690,423 224,071,270 112,035,635 336,106,906 168,053,453 504,160,360 252,080,180 126,040,090 63,020,045 189,060,136 94,530,068 47,265,034 23,632,517 70,897,552 35,448,776 17,724,388 8,862,194 4,431,097 13,293,292 6,646,646 3,323,323 9,969,970 4,984,985 14,954,956 7,477,478

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