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Atlas › Integer Profiles › Node 57,740,872

57,740,872

23 × 7 × 653 × 1579
Abundant Even Composite

57,740,872 factors as 2^3 × 7 × 653 × 1579. Its 32 positive divisors give a proper-divisor sum of 66,257,528, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 653 × 1579
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 123,998,400
Proper Divisor Sum 66,257,528
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #57740869 ← → #57740887

Radix Representation

Decimal 57740872
Binary 11011100010000111001001000 (26 bits)
Octal 0o334207110
Hexadecimal 0x3710E48

Divisor Catalog (32)

1 2 4 7 8 14 28 56 653 1,306 1,579 2,612 3,158 4,571 5,224 6,316 9,142 11,053 12,632 18,284 22,106 36,568 44,212 88,424 1,031,087 2,062,174 4,124,348 7,217,609 8,248,696 14,435,218 28,870,436 57,740,872

Collatz Trajectory (75 steps to reach 1)

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

57,740,872 28,870,436 14,435,218 7,217,609 21,652,828 10,826,414 5,413,207 16,239,622 8,119,811 24,359,434 12,179,717 36,539,152 18,269,576 9,134,788 4,567,394 2,283,697 6,851,092 3,425,546 1,712,773 5,138,320 2,569,160 1,284,580 642,290 321,145 963,436 481,718 240,859 722,578 361,289 1,083,868 541,934 270,967 812,902 406,451 1,219,354 609,677 1,829,032 914,516 457,258 228,629 685,888 342,944 171,472 85,736 42,868 21,434 10,717 32,152 16,076 8,038 4,019 12,058 6,029 18,088 9,044 4,522 2,261 6,784 3,392 1,696

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