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Atlas › Integer Profiles › Node 11,664,208

11,664,208

24 × 601 × 1213
Deficient Even Composite

11,664,208 factors as 2^4 × 601 × 1213. Its 20 positive divisors give a proper-divisor sum of 10,991,460, so this integer is deficient. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2^4 × 601 × 1213
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 22,655,668
Proper Divisor Sum 10,991,460
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #11664203 ← → #11664209

Radix Representation

Decimal 11664208
Binary 101100011111101101010000 (24 bits)
Octal 0o54375520
Hexadecimal 0xB1FB50

Divisor Catalog (20)

1 2 4 8 16 601 1,202 1,213 2,404 2,426 4,808 4,852 9,616 9,704 19,408 729,013 1,458,026 2,916,052 5,832,104 11,664,208

Collatz Trajectory (215 steps to reach 1)

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

11,664,208 5,832,104 2,916,052 1,458,026 729,013 2,187,040 1,093,520 546,760 273,380 136,690 68,345 205,036 102,518 51,259 153,778 76,889 230,668 115,334 57,667 173,002 86,501 259,504 129,752 64,876 32,438 16,219 48,658 24,329 72,988 36,494 18,247 54,742 27,371 82,114 41,057 123,172 61,586 30,793 92,380 46,190 23,095 69,286 34,643 103,930 51,965 155,896 77,948 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993

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