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Atlas › Integer Profiles › Node 86,552,656

86,552,656

24 × 61 × 88681
Deficient Even Composite

86,552,656 factors as 2^4 × 61 × 88681. Its 20 positive divisors give a proper-divisor sum of 83,894,148, so this integer is deficient. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2^4 × 61 × 88681
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 170,446,804
Proper Divisor Sum 83,894,148
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #86552647 ← → #86552693

Radix Representation

Decimal 86552656
Binary 101001010001011000001010000 (27 bits)
Octal 0o512130120
Hexadecimal 0x528B050

Divisor Catalog (20)

1 2 4 8 16 61 122 244 488 976 88,681 177,362 354,724 709,448 1,418,896 5,409,541 10,819,082 21,638,164 43,276,328 86,552,656

Collatz Trajectory (68 steps to reach 1)

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

86,552,656 43,276,328 21,638,164 10,819,082 5,409,541 16,228,624 8,114,312 4,057,156 2,028,578 1,014,289 3,042,868 1,521,434 760,717 2,282,152 1,141,076 570,538 285,269 855,808 427,904 213,952 106,976 53,488 26,744 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13

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