178,428

2² × 3 × 14869

Starting at 178,428, the Collatz iteration reaches 1 after 165 steps. The first transition is 89214; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 14869

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 416,360

Proper Divisor Sum 237,932

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #178417 ← → #178439

Radix Representation

Decimal	178428
Binary	101011100011111100 (18 bits)
Octal	0o534374
Hexadecimal	0x2B8FC

Divisor Catalog (12)

1 2 3 4 6 12 14,869 29,738 44,607 59,476 89,214 178,428

Collatz Trajectory (165 steps to reach 1)

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

178,428 89,214 44,607 133,822 66,911 200,734 100,367 301,102 150,551 451,654 225,827 677,482 338,741 1,016,224 508,112 254,056 127,028 63,514 31,757 95,272 47,636 23,818 11,909 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190

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