λ
Prime Ledger

230,292

22 × 32 × 6397
Abundant Even Composite

230,292 has the prime decomposition 2^2 × 3^2 × 6397. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 6397
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 582,218
Proper Divisor Sum 351,926
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #230291 ← → #230303

Radix Representation

Decimal 230292
Binary 111000001110010100 (18 bits)
Octal 0o701624
Hexadecimal 0x38394

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 6,397 12,794 19,191 25,588 38,382 57,573 76,764 115,146 230,292

Collatz Trajectory (75 steps to reach 1)

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

230,292 115,146 57,573 172,720 86,360 43,180 21,590 10,795 32,386 16,193 48,580 24,290 12,145 36,436 18,218 9,109 27,328 13,664 6,832 3,416 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7

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