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Atlas › Integer Profiles › Node 24,676,728

24,676,728

23 × 3 × 109 × 9433
Abundant Even Composite

24,676,728 factors as 2^3 × 3 × 109 × 9433. Its 32 positive divisors give a proper-divisor sum of 37,587,672, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 109 × 9433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 62,264,400
Proper Divisor Sum 37,587,672
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #24676727 ← → #24676759

Radix Representation

Decimal 24676728
Binary 1011110001000100101111000 (25 bits)
Octal 0o136104570
Hexadecimal 0x1788978

Divisor Catalog (32)

1 2 3 4 6 8 12 24 109 218 327 436 654 872 1,308 2,616 9,433 18,866 28,299 37,732 56,598 75,464 113,196 226,392 1,028,197 2,056,394 3,084,591 4,112,788 6,169,182 8,225,576 12,338,364 24,676,728

Collatz Trajectory (141 steps to reach 1)

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

24,676,728 12,338,364 6,169,182 3,084,591 9,253,774 4,626,887 13,880,662 6,940,331 20,820,994 10,410,497 31,231,492 15,615,746 7,807,873 23,423,620 11,711,810 5,855,905 17,567,716 8,783,858 4,391,929 13,175,788 6,587,894 3,293,947 9,881,842 4,940,921 14,822,764 7,411,382 3,705,691 11,117,074 5,558,537 16,675,612 8,337,806 4,168,903 12,506,710 6,253,355 18,760,066 9,380,033 28,140,100 14,070,050 7,035,025 21,105,076 10,552,538 5,276,269 15,828,808 7,914,404 3,957,202 1,978,601 5,935,804 2,967,902 1,483,951 4,451,854 2,225,927 6,677,782 3,338,891 10,016,674 5,008,337 15,025,012 7,512,506 3,756,253 11,268,760 5,634,380

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