109,992

2³ × 3 × 4583

109,992 has digital root 3. The neighboring primes are 109987 and 110017; its proper-divisor sum differs from the starting integer by 55,056.

Prime Factor Structure

Factorization String 2^3 × 3 × 4583

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 275,040

Proper Divisor Sum 165,048

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #109987 ← → #110017

Radix Representation

Decimal	109992
Binary	11010110110101000 (17 bits)
Octal	0o326650
Hexadecimal	0x1ADA8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 4,583 9,166 13,749 18,332 27,498 36,664 54,996 109,992

Collatz Trajectory (154 steps to reach 1)

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

109,992 54,996 27,498 13,749 41,248 20,624 10,312 5,156 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

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