λ
Harmonic Matrix

231,492

22 × 3 × 101 × 191
Abundant Even Composite

231,492 has digital root 3. The neighboring primes are 231481 and 231493; its proper-divisor sum differs from the starting integer by 85,368.

Prime Factor Structure

Factorization String 2^2 × 3 × 101 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 548,352
Proper Divisor Sum 316,860
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #231481 ← → #231493

Radix Representation

Decimal 231492
Binary 111000100001000100 (18 bits)
Octal 0o704104
Hexadecimal 0x38844

Divisor Catalog (24)

1 2 3 4 6 12 101 191 202 303 382 404 573 606 764 1,146 1,212 2,292 19,291 38,582 57,873 77,164 115,746 231,492

Collatz Trajectory (168 steps to reach 1)

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

231,492 115,746 57,873 173,620 86,810 43,405 130,216 65,108 32,554 16,277 48,832 24,416 12,208 6,104 3,052 1,526 763 2,290 1,145 3,436 1,718 859 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

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