57,760,965

3³ × 5 × 427859

57,760,965 factors as 3^3 × 5 × 427859. Its 16 positive divisors give a proper-divisor sum of 44,925,435, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 427859

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 102,686,400

Proper Divisor Sum 44,925,435

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #57760939 ← → #57760987

Radix Representation

Decimal	57760965
Binary	11011100010101110011000101 (26 bits)
Octal	0o334256305
Hexadecimal	0x3715CC5

Divisor Catalog (16)

1 3 5 9 15 27 45 135 427,859 1,283,577 2,139,295 3,850,731 6,417,885 11,552,193 19,253,655 57,760,965

Collatz Trajectory (194 steps to reach 1)

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

57,760,965 173,282,896 86,641,448 43,320,724 21,660,362 10,830,181 32,490,544 16,245,272 8,122,636 4,061,318 2,030,659 6,091,978 3,045,989 9,137,968 4,568,984 2,284,492 1,142,246 571,123 1,713,370 856,685 2,570,056 1,285,028 642,514 321,257 963,772 481,886 240,943 722,830 361,415 1,084,246 542,123 1,626,370 813,185 2,439,556 1,219,778 609,889 1,829,668 914,834 457,417 1,372,252 686,126 343,063 1,029,190 514,595 1,543,786 771,893 2,315,680 1,157,840 578,920 289,460 144,730 72,365 217,096 108,548 54,274 27,137 81,412 40,706 20,353 61,060

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