57,735,210

2 × 3 × 5 × 13 × 317 × 467

57,735,210 factors as 2 × 3 × 5 × 13 × 317 × 467. Its 64 positive divisors give a proper-divisor sum of 92,279,382, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 317 × 467

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 150,014,592

Proper Divisor Sum 92,279,382

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #57735193 ← → #57735211

Radix Representation

Decimal	57735210
Binary	11011100001111100000101010 (26 bits)
Octal	0o334174052
Hexadecimal	0x370F82A

Divisor Catalog (60 of 64)

1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 317 390 467 634 934 951 1,401 1,585 1,902 2,335 2,802 3,170 4,121 4,670 4,755 6,071 7,005 8,242 9,510 12,142 12,363 14,010 18,213 20,605 24,726 30,355 36,426 41,210 60,710 61,815 91,065 123,630 148,039 182,130 296,078 444,117 740,195 888,234 1,480,390 1,924,507 2,220,585 3,849,014 4,441,170 5,773,521 9,622,535

Collatz Trajectory (238 steps to reach 1)

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

57,735,210 28,867,605 86,602,816 43,301,408 21,650,704 10,825,352 5,412,676 2,706,338 1,353,169 4,059,508 2,029,754 1,014,877 3,044,632 1,522,316 761,158 380,579 1,141,738 570,869 1,712,608 856,304 428,152 214,076 107,038 53,519 160,558 80,279 240,838 120,419 361,258 180,629 541,888 270,944 135,472 67,736 33,868 16,934 8,467 25,402 12,701 38,104 19,052 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054

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