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Atlas › Integer Profiles › Node 57,770,523

57,770,523

33 × 29 × 89 × 829
Deficient Odd Composite

57,770,523 factors as 3^3 × 29 × 89 × 829. Its 32 positive divisors give a proper-divisor sum of 31,869,477, so this integer is deficient. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 3^3 × 29 × 89 × 829
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 89,640,000
Proper Divisor Sum 31,869,477
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #57770513 ← → #57770533

Radix Representation

Decimal 57770523
Binary 11011100011000001000011011 (26 bits)
Octal 0o334301033
Hexadecimal 0x371821B

Divisor Catalog (32)

1 3 9 27 29 87 89 261 267 783 801 829 2,403 2,487 2,581 7,461 7,743 22,383 23,229 24,041 69,687 72,123 73,781 216,369 221,343 649,107 664,029 1,992,087 2,139,649 6,418,947 19,256,841 57,770,523

Collatz Trajectory (269 steps to reach 1)

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

57,770,523 173,311,570 86,655,785 259,967,356 129,983,678 64,991,839 194,975,518 97,487,759 292,463,278 146,231,639 438,694,918 219,347,459 658,042,378 329,021,189 987,063,568 493,531,784 246,765,892 123,382,946 61,691,473 185,074,420 92,537,210 46,268,605 138,805,816 69,402,908 34,701,454 17,350,727 52,052,182 26,026,091 78,078,274 39,039,137 117,117,412 58,558,706 29,279,353 87,838,060 43,919,030 21,959,515 65,878,546 32,939,273 98,817,820 49,408,910 24,704,455 74,113,366 37,056,683 111,170,050 55,585,025 166,755,076 83,377,538 41,688,769 125,066,308 62,533,154 31,266,577 93,799,732 46,899,866 23,449,933 70,349,800 35,174,900 17,587,450 8,793,725 26,381,176 13,190,588

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