57,769,800

2³ × 3 × 5² × 11 × 8753

57,769,800 factors as 2^3 × 3 × 5^2 × 11 × 8753. Its 96 positive divisors give a proper-divisor sum of 137,619,480, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 11 × 8753

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 195,389,280

Proper Divisor Sum 137,619,480

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #57769799 ← → #57769807

Radix Representation

Decimal	57769800
Binary	11011100010111111101001000 (26 bits)
Octal	0o334277510
Hexadecimal	0x3717F48

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1,100 1,320 1,650 2,200 3,300 6,600 8,753 17,506 26,259 35,012 43,765 52,518 70,024 87,530 96,283 105,036 131,295 175,060

Collatz Trajectory (238 steps to reach 1)

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

57,769,800 28,884,900 14,442,450 7,221,225 21,663,676 10,831,838 5,415,919 16,247,758 8,123,879 24,371,638 12,185,819 36,557,458 18,278,729 54,836,188 27,418,094 13,709,047 41,127,142 20,563,571 61,690,714 30,845,357 92,536,072 46,268,036 23,134,018 11,567,009 34,701,028 17,350,514 8,675,257 26,025,772 13,012,886 6,506,443 19,519,330 9,759,665 29,278,996 14,639,498 7,319,749 21,959,248 10,979,624 5,489,812 2,744,906 1,372,453 4,117,360 2,058,680 1,029,340 514,670 257,335 772,006 386,003 1,158,010 579,005 1,737,016 868,508 434,254 217,127 651,382 325,691 977,074 488,537 1,465,612 732,806 366,403

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