λ
Prime Ledger

92,163

3 × 31 × 991
Deficient Odd Composite

92,163 has the prime decomposition 3 × 31 × 991. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 31 × 991
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 126,976
Proper Divisor Sum 34,813
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #92153 ← → #92173

Radix Representation

Decimal 92163
Binary 10110100000000011 (17 bits)
Octal 0o264003
Hexadecimal 0x16803

Divisor Catalog (8)

1 3 31 93 991 2,973 30,721 92,163

Collatz Trajectory (58 steps to reach 1)

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

92,163 276,490 138,245 414,736 207,368 103,684 51,842 25,921 77,764 38,882 19,441 58,324 29,162 14,581 43,744 21,872 10,936 5,468 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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