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Atlas › Integer Profiles › Node 57,770,559

57,770,559

32 × 72 × 11 × 11909
Deficient Odd Composite

57,770,559 factors as 3^2 × 7^2 × 11 × 11909. Its 36 positive divisors give a proper-divisor sum of 48,133,161, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 11 × 11909
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 105,903,720
Proper Divisor Sum 48,133,161
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #57770551 ← → #57770561

Radix Representation

Decimal 57770559
Binary 11011100011000001000111111 (26 bits)
Octal 0o334301077
Hexadecimal 0x371823F

Divisor Catalog (36)

1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1,617 4,851 11,909 35,727 83,363 107,181 130,999 250,089 392,997 583,541 750,267 916,993 1,178,991 1,750,623 2,750,979 5,251,869 6,418,951 8,252,937 19,256,853 57,770,559

Collatz Trajectory (238 steps to reach 1)

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

57,770,559 173,311,678 86,655,839 259,967,518 129,983,759 389,951,278 194,975,639 584,926,918 292,463,459 877,390,378 438,695,189 1,316,085,568 658,042,784 329,021,392 164,510,696 82,255,348 41,127,674 20,563,837 61,691,512 30,845,756 15,422,878 7,711,439 23,134,318 11,567,159 34,701,478 17,350,739 52,052,218 26,026,109 78,078,328 39,039,164 19,519,582 9,759,791 29,279,374 14,639,687 43,919,062 21,959,531 65,878,594 32,939,297 98,817,892 49,408,946 24,704,473 74,113,420 37,056,710 18,528,355 55,585,066 27,792,533 83,377,600 41,688,800 20,844,400 10,422,200 5,211,100 2,605,550 1,302,775 3,908,326 1,954,163 5,862,490 2,931,245 8,793,736 4,396,868 2,198,434

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