λ
Prime Ledger

108,111

3 × 36037
Deficient Odd Composite

108,111 has the prime decomposition 3 × 36037. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 36037
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 144,152
Proper Divisor Sum 36,041
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #108109 ← → #108127

Radix Representation

Decimal 108111
Binary 11010011001001111 (17 bits)
Octal 0o323117
Hexadecimal 0x1A64F

Divisor Catalog (4)

1 3 36,037 108,111

Collatz Trajectory (172 steps to reach 1)

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

108,111 324,334 162,167 486,502 243,251 729,754 364,877 1,094,632 547,316 273,658 136,829 410,488 205,244 102,622 51,311 153,934 76,967 230,902 115,451 346,354 173,177 519,532 259,766 129,883 389,650 194,825 584,476 292,238 146,119 438,358 219,179 657,538 328,769 986,308 493,154 246,577 739,732 369,866 184,933 554,800 277,400 138,700 69,350 34,675 104,026 52,013 156,040 78,020 39,010 19,505 58,516 29,258 14,629 43,888 21,944 10,972 5,486 2,743 8,230 4,115

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