57,716,610

2 × 3 × 5 × 7³ × 71 × 79

57,716,610 factors as 2 × 3 × 5 × 7^3 × 71 × 79. Its 128 positive divisors give a proper-divisor sum of 108,171,390, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7^3 × 71 × 79

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 165,888,000

Proper Divisor Sum 108,171,390

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #57716609 ← → #57716627

Radix Representation

Decimal	57716610
Binary	11011100001010111110000010 (26 bits)
Octal	0o334127602
Hexadecimal	0x370AF82

Divisor Catalog (60 of 128)

1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 71 79 98 105 142 147 158 210 213 237 245 294 343 355 395 426 474 490 497 553 686 710 735 790 994 1,029 1,065 1,106 1,185 1,470 1,491 1,659 1,715 2,058 2,130 2,370 2,485 2,765 2,982 3,318 3,430 3,479 3,871 4,970 5,145

Collatz Trajectory (75 steps to reach 1)

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

57,716,610 28,858,305 86,574,916 43,287,458 21,643,729 64,931,188 32,465,594 16,232,797 48,698,392 24,349,196 12,174,598 6,087,299 18,261,898 9,130,949 27,392,848 13,696,424 6,848,212 3,424,106 1,712,053 5,136,160 2,568,080 1,284,040 642,020 321,010 160,505 481,516 240,758 120,379 361,138 180,569 541,708 270,854 135,427 406,282 203,141 609,424 304,712 152,356 76,178 38,089 114,268 57,134 28,567 85,702 42,851 128,554 64,277 192,832 96,416 48,208 24,104 12,052 6,026 3,013 9,040 4,520 2,260 1,130 565 1,696

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