λ
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Atlas › Integer Profiles › Node 57,715,245

57,715,245

32 × 5 × 7 × 43 × 4261
Abundant Odd Composite

57,715,245 factors as 3^2 × 5 × 7 × 43 × 4261. Its 48 positive divisors give a proper-divisor sum of 59,302,227, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 43 × 4261
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 117,017,472
Proper Divisor Sum 59,302,227
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #57715243 ← → #57715247

Radix Representation

Decimal 57715245
Binary 11011100001010101000101101 (26 bits)
Octal 0o334125055
Hexadecimal 0x370AA2D

Divisor Catalog (48)

1 3 5 7 9 15 21 35 43 45 63 105 129 215 301 315 387 645 903 1,505 1,935 2,709 4,261 4,515 12,783 13,545 21,305 29,827 38,349 63,915 89,481 149,135 183,223 191,745 268,443 447,405 549,669 916,115 1,282,561 1,342,215 1,649,007 2,748,345 3,847,683 6,412,805 8,245,035 11,543,049 19,238,415 57,715,245

Collatz Trajectory (119 steps to reach 1)

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

57,715,245 173,145,736 86,572,868 43,286,434 21,643,217 64,929,652 32,464,826 16,232,413 48,697,240 24,348,620 12,174,310 6,087,155 18,261,466 9,130,733 27,392,200 13,696,100 6,848,050 3,424,025 10,272,076 5,136,038 2,568,019 7,704,058 3,852,029 11,556,088 5,778,044 2,889,022 1,444,511 4,333,534 2,166,767 6,500,302 3,250,151 9,750,454 4,875,227 14,625,682 7,312,841 21,938,524 10,969,262 5,484,631 16,453,894 8,226,947 24,680,842 12,340,421 37,021,264 18,510,632 9,255,316 4,627,658 2,313,829 6,941,488 3,470,744 1,735,372 867,686 433,843 1,301,530 650,765 1,952,296 976,148 488,074 244,037 732,112 366,056

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