57,767,908

2² × 11 × 1312907

57,767,908 factors as 2^2 × 11 × 1312907. Its 12 positive divisors give a proper-divisor sum of 52,516,364, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 1312907

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 110,284,272

Proper Divisor Sum 52,516,364

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #57767873 ← → #57767953

Radix Representation

Decimal	57767908
Binary	11011100010111011111100100 (26 bits)
Octal	0o334273744
Hexadecimal	0x37177E4

Divisor Catalog (12)

1 2 4 11 22 44 1,312,907 2,625,814 5,251,628 14,441,977 28,883,954 57,767,908

Collatz Trajectory (93 steps to reach 1)

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

57,767,908 28,883,954 14,441,977 43,325,932 21,662,966 10,831,483 32,494,450 16,247,225 48,741,676 24,370,838 12,185,419 36,556,258 18,278,129 54,834,388 27,417,194 13,708,597 41,125,792 20,562,896 10,281,448 5,140,724 2,570,362 1,285,181 3,855,544 1,927,772 963,886 481,943 1,445,830 722,915 2,168,746 1,084,373 3,253,120 1,626,560 813,280 406,640 203,320 101,660 50,830 25,415 76,246 38,123 114,370 57,185 171,556 85,778 42,889 128,668 64,334 32,167 96,502 48,251 144,754 72,377 217,132 108,566 54,283 162,850 81,425 244,276 122,138 61,069

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