430,479

3² × 7 × 6833

Starting at 430,479, the Collatz iteration reaches 1 after 174 steps. The first transition is 1291438; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 6833

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 710,736

Proper Divisor Sum 280,257

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #430453 ← → #430487

Radix Representation

Decimal	430479
Binary	1101001000110001111 (19 bits)
Octal	0o1510617
Hexadecimal	0x6918F

Divisor Catalog (12)

1 3 7 9 21 63 6,833 20,499 47,831 61,497 143,493 430,479

Collatz Trajectory (174 steps to reach 1)

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

430,479 1,291,438 645,719 1,937,158 968,579 2,905,738 1,452,869 4,358,608 2,179,304 1,089,652 544,826 272,413 817,240 408,620 204,310 102,155 306,466 153,233 459,700 229,850 114,925 344,776 172,388 86,194 43,097 129,292 64,646 32,323 96,970 48,485 145,456 72,728 36,364 18,182 9,091 27,274 13,637 40,912 20,456 10,228 5,114 2,557 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402

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