57,764,175

3 × 5² × 7 × 47 × 2341

57,764,175 factors as 3 × 5^2 × 7 × 47 × 2341. Its 48 positive divisors give a proper-divisor sum of 53,752,497, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 47 × 2341

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 111,516,672

Proper Divisor Sum 53,752,497

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #57764173 ← → #57764197

Radix Representation

Decimal	57764175
Binary	11011100010110100101001111 (26 bits)
Octal	0o334264517
Hexadecimal	0x371694F

Divisor Catalog (48)

Collatz Trajectory (207 steps to reach 1)

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

57,764,175 173,292,526 86,646,263 259,938,790 129,969,395 389,908,186 194,954,093 584,862,280 292,431,140 146,215,570 73,107,785 219,323,356 109,661,678 54,830,839 164,492,518 82,246,259 246,738,778 123,369,389 370,108,168 185,054,084 92,527,042 46,263,521 138,790,564 69,395,282 34,697,641 104,092,924 52,046,462 26,023,231 78,069,694 39,034,847 117,104,542 58,552,271 175,656,814 87,828,407 263,485,222 131,742,611 395,227,834 197,613,917 592,841,752 296,420,876 148,210,438 74,105,219 222,315,658 111,157,829 333,473,488 166,736,744 83,368,372 41,684,186 20,842,093 62,526,280 31,263,140 15,631,570 7,815,785 23,447,356 11,723,678 5,861,839 17,585,518 8,792,759 26,378,278 13,189,139

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