57,749,734

2 × 7² × 23 × 25621

57,749,734 factors as 2 × 7^2 × 23 × 25621. Its 24 positive divisors give a proper-divisor sum of 47,402,954, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 23 × 25621

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 105,152,688

Proper Divisor Sum 47,402,954

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #57749723 ← → #57749743

Radix Representation

Decimal	57749734
Binary	11011100010011000011100110 (26 bits)
Octal	0o334230346
Hexadecimal	0x37130E6

Divisor Catalog (24)

Collatz Trajectory (176 steps to reach 1)

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

57,749,734 28,874,867 86,624,602 43,312,301 129,936,904 64,968,452 32,484,226 16,242,113 48,726,340 24,363,170 12,181,585 36,544,756 18,272,378 9,136,189 27,408,568 13,704,284 6,852,142 3,426,071 10,278,214 5,139,107 15,417,322 7,708,661 23,125,984 11,562,992 5,781,496 2,890,748 1,445,374 722,687 2,168,062 1,084,031 3,252,094 1,626,047 4,878,142 2,439,071 7,317,214 3,658,607 10,975,822 5,487,911 16,463,734 8,231,867 24,695,602 12,347,801 37,043,404 18,521,702 9,260,851 27,782,554 13,891,277 41,673,832 20,836,916 10,418,458 5,209,229 15,627,688 7,813,844 3,906,922 1,953,461 5,860,384 2,930,192 1,465,096 732,548 366,274

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