57,764,155

5 × 23² × 21839

57,764,155 factors as 5 × 23^2 × 21839. Its 12 positive divisors give a proper-divisor sum of 14,700,965, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 5 × 23^2 × 21839

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 72,465,120

Proper Divisor Sum 14,700,965

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #57764153 ← → #57764167

Radix Representation

Decimal	57764155
Binary	11011100010110100100111011 (26 bits)
Octal	0o334264473
Hexadecimal	0x371693B

Divisor Catalog (12)

1 5 23 115 529 2,645 21,839 109,195 502,297 2,511,485 11,552,831 57,764,155

Collatz Trajectory (207 steps to reach 1)

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

57,764,155 173,292,466 86,646,233 259,938,700 129,969,350 64,984,675 194,954,026 97,477,013 292,431,040 146,215,520 73,107,760 36,553,880 18,276,940 9,138,470 4,569,235 13,707,706 6,853,853 20,561,560 10,280,780 5,140,390 2,570,195 7,710,586 3,855,293 11,565,880 5,782,940 2,891,470 1,445,735 4,337,206 2,168,603 6,505,810 3,252,905 9,758,716 4,879,358 2,439,679 7,319,038 3,659,519 10,978,558 5,489,279 16,467,838 8,233,919 24,701,758 12,350,879 37,052,638 18,526,319 55,578,958 27,789,479 83,368,438 41,684,219 125,052,658 62,526,329 187,578,988 93,789,494 46,894,747 140,684,242 70,342,121 211,026,364 105,513,182 52,756,591 158,269,774 79,134,887

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