57,747,765

3 × 5 × 167 × 23053

57,747,765 factors as 3 × 5 × 167 × 23053. Its 16 positive divisors give a proper-divisor sum of 35,205,963, so this integer is deficient. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 3 × 5 × 167 × 23053

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 92,953,728

Proper Divisor Sum 35,205,963

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #57747763 ← → #57747797

Radix Representation

Decimal	57747765
Binary	11011100010010100100110101 (26 bits)
Octal	0o334224465
Hexadecimal	0x3712935

Divisor Catalog (16)

1 3 5 15 167 501 835 2,505 23,053 69,159 115,265 345,795 3,849,851 11,549,553 19,249,255 57,747,765

Collatz Trajectory (132 steps to reach 1)

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

57,747,765 173,243,296 86,621,648 43,310,824 21,655,412 10,827,706 5,413,853 16,241,560 8,120,780 4,060,390 2,030,195 6,090,586 3,045,293 9,135,880 4,567,940 2,283,970 1,141,985 3,425,956 1,712,978 856,489 2,569,468 1,284,734 642,367 1,927,102 963,551 2,890,654 1,445,327 4,335,982 2,167,991 6,503,974 3,251,987 9,755,962 4,877,981 14,633,944 7,316,972 3,658,486 1,829,243 5,487,730 2,743,865 8,231,596 4,115,798 2,057,899 6,173,698 3,086,849 9,260,548 4,630,274 2,315,137 6,945,412 3,472,706 1,736,353 5,209,060 2,604,530 1,302,265 3,906,796 1,953,398 976,699 2,930,098 1,465,049 4,395,148 2,197,574

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