57,762,568

2³ × 23² × 13649

57,762,568 factors as 2^3 × 23^2 × 13649. Its 24 positive divisors give a proper-divisor sum of 55,464,182, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^3 × 23^2 × 13649

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 113,226,750

Proper Divisor Sum 55,464,182

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #57762553 ← → #57762569

Radix Representation

Decimal	57762568
Binary	11011100010110001100001000 (26 bits)
Octal	0o334261410
Hexadecimal	0x3716308

Divisor Catalog (24)

Collatz Trajectory (93 steps to reach 1)

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

57,762,568 28,881,284 14,440,642 7,220,321 21,660,964 10,830,482 5,415,241 16,245,724 8,122,862 4,061,431 12,184,294 6,092,147 18,276,442 9,138,221 27,414,664 13,707,332 6,853,666 3,426,833 10,280,500 5,140,250 2,570,125 7,710,376 3,855,188 1,927,594 963,797 2,891,392 1,445,696 722,848 361,424 180,712 90,356 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186

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