57,715,092

2² × 3⁴ × 53 × 3361

57,715,092 factors as 2^2 × 3^4 × 53 × 3361. Its 60 positive divisors give a proper-divisor sum of 96,056,064, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 53 × 3361

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 153,771,156

Proper Divisor Sum 96,056,064

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #57715081 ← → #57715093

Radix Representation

Decimal	57715092
Binary	11011100001010100110010100 (26 bits)
Octal	0o334124624
Hexadecimal	0x370A994

Divisor Catalog (60)

1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1,431 1,908 2,862 3,361 4,293 5,724 6,722 8,586 10,083 13,444 17,172 20,166 30,249 40,332 60,498 90,747 120,996 178,133 181,494 272,241 356,266 362,988 534,399 544,482 712,532 1,068,798 1,088,964 1,603,197 2,137,596 3,206,394 4,809,591 6,412,788 9,619,182 14,428,773 19,238,364 28,857,546 57,715,092

Collatz Trajectory (238 steps to reach 1)

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

57,715,092 28,857,546 14,428,773 43,286,320 21,643,160 10,821,580 5,410,790 2,705,395 8,116,186 4,058,093 12,174,280 6,087,140 3,043,570 1,521,785 4,565,356 2,282,678 1,141,339 3,424,018 1,712,009 5,136,028 2,568,014 1,284,007 3,852,022 1,926,011 5,778,034 2,889,017 8,667,052 4,333,526 2,166,763 6,500,290 3,250,145 9,750,436 4,875,218 2,437,609 7,312,828 3,656,414 1,828,207 5,484,622 2,742,311 8,226,934 4,113,467 12,340,402 6,170,201 18,510,604 9,255,302 4,627,651 13,882,954 6,941,477 20,824,432 10,412,216 5,206,108 2,603,054 1,301,527 3,904,582 1,952,291 5,856,874 2,928,437 8,785,312 4,392,656 2,196,328

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