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Atlas › Integer Profiles › Node 57,713,630

57,713,630

2 × 5 × 13 × 31 × 14321
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 13 × 31 × 14321
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 115,492,608
Proper Divisor Sum 57,778,978
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #57713629 ← → #57713639

Radix Representation

Decimal 57713630
Binary 11011100001010001111011110 (26 bits)
Octal 0o334121736
Hexadecimal 0x370A3DE

Divisor Catalog (32)

1 2 5 10 13 26 31 62 65 130 155 310 403 806 2,015 4,030 14,321 28,642 71,605 143,210 186,173 372,346 443,951 887,902 930,865 1,861,730 2,219,755 4,439,510 5,771,363 11,542,726 28,856,815 57,713,630

Collatz Trajectory (300 steps to reach 1)

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

57,713,630 28,856,815 86,570,446 43,285,223 129,855,670 64,927,835 194,783,506 97,391,753 292,175,260 146,087,630 73,043,815 219,131,446 109,565,723 328,697,170 164,348,585 493,045,756 246,522,878 123,261,439 369,784,318 184,892,159 554,676,478 277,338,239 832,014,718 416,007,359 1,248,022,078 624,011,039 1,872,033,118 936,016,559 2,808,049,678 1,404,024,839 4,212,074,518 2,106,037,259 6,318,111,778 3,159,055,889 9,477,167,668 4,738,583,834 2,369,291,917 7,107,875,752 3,553,937,876 1,776,968,938 888,484,469 2,665,453,408 1,332,726,704 666,363,352 333,181,676 166,590,838 83,295,419 249,886,258 124,943,129 374,829,388 187,414,694 93,707,347 281,122,042 140,561,021 421,683,064 210,841,532 105,420,766 52,710,383 158,131,150 79,065,575

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