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Atlas › Integer Profiles › Node 57,367,816

57,367,816

23 × 11 × 61 × 10687
Abundant Even Composite

57,367,816 factors as 2^3 × 11 × 61 × 10687. Its 32 positive divisors give a proper-divisor sum of 61,910,264, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 61 × 10687
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 119,278,080
Proper Divisor Sum 61,910,264
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #57367813 ← → #57367823

Radix Representation

Decimal 57367816
Binary 11011010110101110100001000 (26 bits)
Octal 0o332656410
Hexadecimal 0x36B5D08

Divisor Catalog (32)

1 2 4 8 11 22 44 61 88 122 244 488 671 1,342 2,684 5,368 10,687 21,374 42,748 85,496 117,557 235,114 470,228 651,907 940,456 1,303,814 2,607,628 5,215,256 7,170,977 14,341,954 28,683,908 57,367,816

Collatz Trajectory (132 steps to reach 1)

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

57,367,816 28,683,908 14,341,954 7,170,977 21,512,932 10,756,466 5,378,233 16,134,700 8,067,350 4,033,675 12,101,026 6,050,513 18,151,540 9,075,770 4,537,885 13,613,656 6,806,828 3,403,414 1,701,707 5,105,122 2,552,561 7,657,684 3,828,842 1,914,421 5,743,264 2,871,632 1,435,816 717,908 358,954 179,477 538,432 269,216 134,608 67,304 33,652 16,826 8,413 25,240 12,620 6,310 3,155 9,466 4,733 14,200 7,100 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115

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