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Atlas › Integer Profiles › Node 24,928,526

24,928,526

2 × 7 × 31 × 71 × 809
Deficient Even Composite

24,928,526 factors as 2 × 7 × 31 × 71 × 809. Its 32 positive divisors give a proper-divisor sum of 19,861,234, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2 × 7 × 31 × 71 × 809
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 44,789,760
Proper Divisor Sum 19,861,234
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #24928523 ← → #24928559

Radix Representation

Decimal 24928526
Binary 1011111000110000100001110 (25 bits)
Octal 0o137060416
Hexadecimal 0x17C610E

Divisor Catalog (32)

1 2 7 14 31 62 71 142 217 434 497 809 994 1,618 2,201 4,402 5,663 11,326 15,407 25,079 30,814 50,158 57,439 114,878 175,553 351,106 402,073 804,146 1,780,609 3,561,218 12,464,263 24,928,526

Collatz Trajectory (79 steps to reach 1)

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

24,928,526 12,464,263 37,392,790 18,696,395 56,089,186 28,044,593 84,133,780 42,066,890 21,033,445 63,100,336 31,550,168 15,775,084 7,887,542 3,943,771 11,831,314 5,915,657 17,746,972 8,873,486 4,436,743 13,310,230 6,655,115 19,965,346 9,982,673 29,948,020 14,974,010 7,487,005 22,461,016 11,230,508 5,615,254 2,807,627 8,422,882 4,211,441 12,634,324 6,317,162 3,158,581 9,475,744 4,737,872 2,368,936 1,184,468 592,234 296,117 888,352 444,176 222,088 111,044 55,522 27,761 83,284 41,642 20,821 62,464 31,232 15,616 7,808 3,904 1,952 976 488 244 122

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