230,154

2 × 3 × 89 × 431

230,154 factors as 2 × 3 × 89 × 431. Its 16 positive divisors give a proper-divisor sum of 236,406, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 3 × 89 × 431

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 466,560

Proper Divisor Sum 236,406

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #230149 ← → #230189

Radix Representation

Decimal	230154
Binary	111000001100001010 (18 bits)
Octal	0o701412
Hexadecimal	0x3830A

Divisor Catalog (16)

1 2 3 6 89 178 267 431 534 862 1,293 2,586 38,359 76,718 115,077 230,154

Collatz Trajectory (199 steps to reach 1)

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

230,154 115,077 345,232 172,616 86,308 43,154 21,577 64,732 32,366 16,183 48,550 24,275 72,826 36,413 109,240 54,620 27,310 13,655 40,966 20,483 61,450 30,725 92,176 46,088 23,044 11,522 5,761 17,284 8,642 4,321 12,964 6,482 3,241 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462

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