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Atlas › Integer Profiles › Node 57,770,676

57,770,676

22 × 32 × 592 × 461
Abundant Even Composite

57,770,676 factors as 2^2 × 3^2 × 59^2 × 461. Its 54 positive divisors give a proper-divisor sum of 91,100,046, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 59^2 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 148,870,722
Proper Divisor Sum 91,100,046
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #57770663 ← → #57770693

Radix Representation

Decimal 57770676
Binary 11011100011000001010110100 (26 bits)
Octal 0o334301264
Hexadecimal 0x37182B4

Divisor Catalog (54)

1 2 3 4 6 9 12 18 36 59 118 177 236 354 461 531 708 922 1,062 1,383 1,844 2,124 2,766 3,481 4,149 5,532 6,962 8,298 10,443 13,924 16,596 20,886 27,199 31,329 41,772 54,398 62,658 81,597 108,796 125,316 163,194 244,791 326,388 489,582 979,164 1,604,741 3,209,482 4,814,223 6,418,964 9,628,446 14,442,669 19,256,892 28,885,338 57,770,676

Collatz Trajectory (119 steps to reach 1)

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

57,770,676 28,885,338 14,442,669 43,328,008 21,664,004 10,832,002 5,416,001 16,248,004 8,124,002 4,062,001 12,186,004 6,093,002 3,046,501 9,139,504 4,569,752 2,284,876 1,142,438 571,219 1,713,658 856,829 2,570,488 1,285,244 642,622 321,311 963,934 481,967 1,445,902 722,951 2,168,854 1,084,427 3,253,282 1,626,641 4,879,924 2,439,962 1,219,981 3,659,944 1,829,972 914,986 457,493 1,372,480 686,240 343,120 171,560 85,780 42,890 21,445 64,336 32,168 16,084 8,042 4,021 12,064 6,032 3,016 1,508 754 377 1,132 566 283

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