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Atlas › Integer Profiles › Node 24,944,490

24,944,490

2 × 33 × 5 × 92387
Abundant Even Composite

24,944,490 factors as 2 × 3^3 × 5 × 92387. Its 32 positive divisors give a proper-divisor sum of 41,574,870, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 92387
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 66,519,360
Proper Divisor Sum 41,574,870
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #24944477 ← → #24944497

Radix Representation

Decimal 24944490
Binary 1011111001001111101101010 (25 bits)
Octal 0o137117552
Hexadecimal 0x17C9F6A

Divisor Catalog (32)

1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 92,387 184,774 277,161 461,935 554,322 831,483 923,870 1,385,805 1,662,966 2,494,449 2,771,610 4,157,415 4,988,898 8,314,830 12,472,245 24,944,490

Collatz Trajectory (198 steps to reach 1)

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

24,944,490 12,472,245 37,416,736 18,708,368 9,354,184 4,677,092 2,338,546 1,169,273 3,507,820 1,753,910 876,955 2,630,866 1,315,433 3,946,300 1,973,150 986,575 2,959,726 1,479,863 4,439,590 2,219,795 6,659,386 3,329,693 9,989,080 4,994,540 2,497,270 1,248,635 3,745,906 1,872,953 5,618,860 2,809,430 1,404,715 4,214,146 2,107,073 6,321,220 3,160,610 1,580,305 4,740,916 2,370,458 1,185,229 3,555,688 1,777,844 888,922 444,461 1,333,384 666,692 333,346 166,673 500,020 250,010 125,005 375,016 187,508 93,754 46,877 140,632 70,316 35,158 17,579 52,738 26,369

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