234,336

2⁵ × 3 × 2441

Starting at 234,336, the Collatz iteration reaches 1 after 168 steps. The first transition is 117168; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 2441

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 615,384

Proper Divisor Sum 381,048

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #234331 ← → #234341

Radix Representation

Decimal	234336
Binary	111001001101100000 (18 bits)
Octal	0o711540
Hexadecimal	0x39360

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 2,441 4,882 7,323 9,764 14,646 19,528 29,292 39,056 58,584 78,112 117,168 234,336

Collatz Trajectory (168 steps to reach 1)

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

234,336 117,168 58,584 29,292 14,646 7,323 21,970 10,985 32,956 16,478 8,239 24,718 12,359 37,078 18,539 55,618 27,809 83,428 41,714 20,857 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712 150,356 75,178 37,589 112,768 56,384 28,192 14,096 7,048 3,524 1,762 881 2,644 1,322 661 1,984 992 496 248

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