57,096,130

2 × 5 × 7 × 13 × 62743

57,096,130 factors as 2 × 5 × 7 × 13 × 62743. Its 32 positive divisors give a proper-divisor sum of 69,395,774, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13 × 62743

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 126,491,904

Proper Divisor Sum 69,395,774

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #57096119 ← → #57096133

Radix Representation

Decimal	57096130
Binary	11011001110011011111000010 (26 bits)
Octal	0o331633702
Hexadecimal	0x36737C2

Divisor Catalog (32)

Collatz Trajectory (207 steps to reach 1)

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

57,096,130 28,548,065 85,644,196 42,822,098 21,411,049 64,233,148 32,116,574 16,058,287 48,174,862 24,087,431 72,262,294 36,131,147 108,393,442 54,196,721 162,590,164 81,295,082 40,647,541 121,942,624 60,971,312 30,485,656 15,242,828 7,621,414 3,810,707 11,432,122 5,716,061 17,148,184 8,574,092 4,287,046 2,143,523 6,430,570 3,215,285 9,645,856 4,822,928 2,411,464 1,205,732 602,866 301,433 904,300 452,150 226,075 678,226 339,113 1,017,340 508,670 254,335 763,006 381,503 1,144,510 572,255 1,716,766 858,383 2,575,150 1,287,575 3,862,726 1,931,363 5,794,090 2,897,045 8,691,136 4,345,568 2,172,784

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