232,428

2² × 3 × 7 × 2767

Starting at 232,428, the Collatz iteration reaches 1 after 168 steps. The first transition is 116214; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 2767

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 620,032

Proper Divisor Sum 387,604

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #232417 ← → #232433

Radix Representation

Decimal	232428
Binary	111000101111101100 (18 bits)
Octal	0o705754
Hexadecimal	0x38BEC

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 2,767 5,534 8,301 11,068 16,602 19,369 33,204 38,738 58,107 77,476 116,214 232,428

Collatz Trajectory (168 steps to reach 1)

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

232,428 116,214 58,107 174,322 87,161 261,484 130,742 65,371 196,114 98,057 294,172 147,086 73,543 220,630 110,315 330,946 165,473 496,420 248,210 124,105 372,316 186,158 93,079 279,238 139,619 418,858 209,429 628,288 314,144 157,072 78,536 39,268 19,634 9,817 29,452 14,726 7,363 22,090 11,045 33,136 16,568 8,284 4,142 2,071 6,214 3,107 9,322 4,661 13,984 6,992 3,496 1,748 874 437 1,312 656 328 164 82 41

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