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Atlas › Integer Profiles › Node 57,003,268

57,003,268

22 × 72 × 19 × 15307
Abundant Even Composite

57,003,268 factors as 2^2 × 7^2 × 19 × 15307. Its 36 positive divisors give a proper-divisor sum of 65,154,572, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 19 × 15307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 122,157,840
Proper Divisor Sum 65,154,572
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #57003259 ← → #57003277

Radix Representation

Decimal 57003268
Binary 11011001011100110100000100 (26 bits)
Octal 0o331346404
Hexadecimal 0x365CD04

Divisor Catalog (36)

1 2 4 7 14 19 28 38 49 76 98 133 196 266 532 931 1,862 3,724 15,307 30,614 61,228 107,149 214,298 290,833 428,596 581,666 750,043 1,163,332 1,500,086 2,035,831 3,000,172 4,071,662 8,143,324 14,250,817 28,501,634 57,003,268

Collatz Trajectory (124 steps to reach 1)

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

57,003,268 28,501,634 14,250,817 42,752,452 21,376,226 10,688,113 32,064,340 16,032,170 8,016,085 24,048,256 12,024,128 6,012,064 3,006,032 1,503,016 751,508 375,754 187,877 563,632 281,816 140,908 70,454 35,227 105,682 52,841 158,524 79,262 39,631 118,894 59,447 178,342 89,171 267,514 133,757 401,272 200,636 100,318 50,159 150,478 75,239 225,718 112,859 338,578 169,289 507,868 253,934 126,967 380,902 190,451 571,354 285,677 857,032 428,516 214,258 107,129 321,388 160,694 80,347 241,042 120,521 361,564

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