λ
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Atlas › Integer Profiles › Node 57,308,470

57,308,470

2 × 5 × 59 × 137 × 709
Deficient Even Composite

57,308,470 factors as 2 × 5 × 59 × 137 × 709. Its 32 positive divisors give a proper-divisor sum of 48,509,930, so this integer is deficient. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 2 × 5 × 59 × 137 × 709
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 105,818,400
Proper Divisor Sum 48,509,930
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #57308467 ← → #57308477

Radix Representation

Decimal 57308470
Binary 11011010100111010100110110 (26 bits)
Octal 0o332472466
Hexadecimal 0x36A7536

Divisor Catalog (32)

1 2 5 10 59 118 137 274 295 590 685 709 1,370 1,418 3,545 7,090 8,083 16,166 40,415 41,831 80,830 83,662 97,133 194,266 209,155 418,310 485,665 971,330 5,730,847 11,461,694 28,654,235 57,308,470

Collatz Trajectory (269 steps to reach 1)

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

57,308,470 28,654,235 85,962,706 42,981,353 128,944,060 64,472,030 32,236,015 96,708,046 48,354,023 145,062,070 72,531,035 217,593,106 108,796,553 326,389,660 163,194,830 81,597,415 244,792,246 122,396,123 367,188,370 183,594,185 550,782,556 275,391,278 137,695,639 413,086,918 206,543,459 619,630,378 309,815,189 929,445,568 464,722,784 232,361,392 116,180,696 58,090,348 29,045,174 14,522,587 43,567,762 21,783,881 65,351,644 32,675,822 16,337,911 49,013,734 24,506,867 73,520,602 36,760,301 110,280,904 55,140,452 27,570,226 13,785,113 41,355,340 20,677,670 10,338,835 31,016,506 15,508,253 46,524,760 23,262,380 11,631,190 5,815,595 17,446,786 8,723,393 26,170,180 13,085,090

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