57,760,192

2⁶ × 7 × 31 × 4159

57,760,192 factors as 2^6 × 7 × 31 × 4159. Its 56 positive divisors give a proper-divisor sum of 77,489,728, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 31 × 4159

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 135,249,920

Proper Divisor Sum 77,489,728

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #57760181 ← → #57760193

Radix Representation

Decimal	57760192
Binary	11011100010101100111000000 (26 bits)
Octal	0o334254700
Hexadecimal	0x37159C0

Divisor Catalog (56)

Collatz Trajectory (145 steps to reach 1)

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

57,760,192 28,880,096 14,440,048 7,220,024 3,610,012 1,805,006 902,503 2,707,510 1,353,755 4,061,266 2,030,633 6,091,900 3,045,950 1,522,975 4,568,926 2,284,463 6,853,390 3,426,695 10,280,086 5,140,043 15,420,130 7,710,065 23,130,196 11,565,098 5,782,549 17,347,648 8,673,824 4,336,912 2,168,456 1,084,228 542,114 271,057 813,172 406,586 203,293 609,880 304,940 152,470 76,235 228,706 114,353 343,060 171,530 85,765 257,296 128,648 64,324 32,162 16,081 48,244 24,122 12,061 36,184 18,092 9,046 4,523 13,570 6,785 20,356 10,178

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