430,398

2 × 3² × 23911

430,398 has the prime decomposition 2 × 3^2 × 23911. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 23911

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 932,568

Proper Divisor Sum 502,170

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #430393 ← → #430411

Radix Representation

Decimal	430398
Binary	1101001000100111110 (19 bits)
Octal	0o1510476
Hexadecimal	0x6913E

Divisor Catalog (12)

1 2 3 6 9 18 23,911 47,822 71,733 143,466 215,199 430,398

Collatz Trajectory (130 steps to reach 1)

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

430,398 215,199 645,598 322,799 968,398 484,199 1,452,598 726,299 2,178,898 1,089,449 3,268,348 1,634,174 817,087 2,451,262 1,225,631 3,676,894 1,838,447 5,515,342 2,757,671 8,273,014 4,136,507 12,409,522 6,204,761 18,614,284 9,307,142 4,653,571 13,960,714 6,980,357 20,941,072 10,470,536 5,235,268 2,617,634 1,308,817 3,926,452 1,963,226 981,613 2,944,840 1,472,420 736,210 368,105 1,104,316 552,158 276,079 828,238 414,119 1,242,358 621,179 1,863,538 931,769 2,795,308 1,397,654 698,827 2,096,482 1,048,241 3,144,724 1,572,362 786,181 2,358,544 1,179,272 589,636

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