430,311

3 × 7 × 31 × 661

430,311 has the prime decomposition 3 × 7 × 31 × 661. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 31 × 661

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 677,888

Proper Divisor Sum 247,577

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #430303 ← → #430319

Radix Representation

Decimal	430311
Binary	1101001000011100111 (19 bits)
Octal	0o1510347
Hexadecimal	0x690E7

Divisor Catalog (16)

1 3 7 21 31 93 217 651 661 1,983 4,627 13,881 20,491 61,473 143,437 430,311

Collatz Trajectory (99 steps to reach 1)

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

430,311 1,290,934 645,467 1,936,402 968,201 2,904,604 1,452,302 726,151 2,178,454 1,089,227 3,267,682 1,633,841 4,901,524 2,450,762 1,225,381 3,676,144 1,838,072 919,036 459,518 229,759 689,278 344,639 1,033,918 516,959 1,550,878 775,439 2,326,318 1,163,159 3,489,478 1,744,739 5,234,218 2,617,109 7,851,328 3,925,664 1,962,832 981,416 490,708 245,354 122,677 368,032 184,016 92,008 46,004 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455

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