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57,766,760

23 × 5 × 47 × 30727
Abundant Even Composite

57,766,760 factors as 2^3 × 5 × 47 × 30727. Its 32 positive divisors give a proper-divisor sum of 74,978,200, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 47 × 30727
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 132,744,960
Proper Divisor Sum 74,978,200
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #57766747 ← → #57766763

Radix Representation

Decimal 57766760
Binary 11011100010111001101101000 (26 bits)
Octal 0o334271550
Hexadecimal 0x3717368

Divisor Catalog (32)

1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1,880 30,727 61,454 122,908 153,635 245,816 307,270 614,540 1,229,080 1,444,169 2,888,338 5,776,676 7,220,845 11,553,352 14,441,690 28,883,380 57,766,760

Collatz Trajectory (194 steps to reach 1)

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

57,766,760 28,883,380 14,441,690 7,220,845 21,662,536 10,831,268 5,415,634 2,707,817 8,123,452 4,061,726 2,030,863 6,092,590 3,046,295 9,138,886 4,569,443 13,708,330 6,854,165 20,562,496 10,281,248 5,140,624 2,570,312 1,285,156 642,578 321,289 963,868 481,934 240,967 722,902 361,451 1,084,354 542,177 1,626,532 813,266 406,633 1,219,900 609,950 304,975 914,926 457,463 1,372,390 686,195 2,058,586 1,029,293 3,087,880 1,543,940 771,970 385,985 1,157,956 578,978 289,489 868,468 434,234 217,117 651,352 325,676 162,838 81,419 244,258 122,129 366,388

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