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Atlas › Integer Profiles › Node 10,707,664

10,707,664

24 × 11 × 83 × 733
Abundant Even Composite

10,707,664 factors as 2^4 × 11 × 83 × 733. Its 40 positive divisors give a proper-divisor sum of 12,228,368, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 83 × 733
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 22,936,032
Proper Divisor Sum 12,228,368
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #10707661 ← → #10707667

Radix Representation

Decimal 10707664
Binary 101000110110001011010000 (24 bits)
Octal 0o50661320
Hexadecimal 0xA362D0

Divisor Catalog (40)

1 2 4 8 11 16 22 44 83 88 166 176 332 664 733 913 1,328 1,466 1,826 2,932 3,652 5,864 7,304 8,063 11,728 14,608 16,126 32,252 60,839 64,504 121,678 129,008 243,356 486,712 669,229 973,424 1,338,458 2,676,916 5,353,832 10,707,664

Collatz Trajectory (96 steps to reach 1)

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

10,707,664 5,353,832 2,676,916 1,338,458 669,229 2,007,688 1,003,844 501,922 250,961 752,884 376,442 188,221 564,664 282,332 141,166 70,583 211,750 105,875 317,626 158,813 476,440 238,220 119,110 59,555 178,666 89,333 268,000 134,000 67,000 33,500 16,750 8,375 25,126 12,563 37,690 18,845 56,536 28,268 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888

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