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Atlas › Integer Profiles › Node 25,614,656

25,614,656

26 × 29 × 37 × 373
Abundant Even Composite

25,614,656 factors as 2^6 × 29 × 37 × 373. Its 56 positive divisors give a proper-divisor sum of 28,533,064, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^6 × 29 × 37 × 373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 54,147,720
Proper Divisor Sum 28,533,064
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #25614653 ← → #25614661

Radix Representation

Decimal 25614656
Binary 1100001101101100101000000 (25 bits)
Octal 0o141554500
Hexadecimal 0x186D940

Divisor Catalog (56)

1 2 4 8 16 29 32 37 58 64 74 116 148 232 296 373 464 592 746 928 1,073 1,184 1,492 1,856 2,146 2,368 2,984 4,292 5,968 8,584 10,817 11,936 13,801 17,168 21,634 23,872 27,602 34,336 43,268 55,204 68,672 86,536 110,408 173,072 220,816 346,144 400,229 441,632 692,288 800,458 883,264 1,600,916 3,201,832 6,403,664 12,807,328 25,614,656

Collatz Trajectory (123 steps to reach 1)

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

25,614,656 12,807,328 6,403,664 3,201,832 1,600,916 800,458 400,229 1,200,688 600,344 300,172 150,086 75,043 225,130 112,565 337,696 168,848 84,424 42,212 21,106 10,553 31,660 15,830 7,915 23,746 11,873 35,620 17,810 8,905 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755

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