λ
Prime Ledger

117,566

2 × 29 × 2027
Deficient Even Composite

117,566 has the prime decomposition 2 × 29 × 2027. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 29 × 2027
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 182,520
Proper Divisor Sum 64,954
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #117563 ← → #117571

Radix Representation

Decimal 117566
Binary 11100101100111110 (17 bits)
Octal 0o345476
Hexadecimal 0x1CB3E

Divisor Catalog (8)

1 2 29 58 2,027 4,054 58,783 117,566

Collatz Trajectory (198 steps to reach 1)

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

117,566 58,783 176,350 88,175 264,526 132,263 396,790 198,395 595,186 297,593 892,780 446,390 223,195 669,586 334,793 1,004,380 502,190 251,095 753,286 376,643 1,129,930 564,965 1,694,896 847,448 423,724 211,862 105,931 317,794 158,897 476,692 238,346 119,173 357,520 178,760 89,380 44,690 22,345 67,036 33,518 16,759 50,278 25,139 75,418 37,709 113,128 56,564 28,282 14,141 42,424 21,212 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475

More profiles

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