429,380

2² × 5 × 7 × 3067

Starting at 429,380, the Collatz iteration reaches 1 after 125 steps. The first transition is 214690; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 3067

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,030,848

Proper Divisor Sum 601,468

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #429367 ← → #429389

Radix Representation

Decimal	429380
Binary	1101000110101000100 (19 bits)
Octal	0o1506504
Hexadecimal	0x68D44

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 3,067 6,134 12,268 15,335 21,469 30,670 42,938 61,340 85,876 107,345 214,690 429,380

Collatz Trajectory (125 steps to reach 1)

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

429,380 214,690 107,345 322,036 161,018 80,509 241,528 120,764 60,382 30,191 90,574 45,287 135,862 67,931 203,794 101,897 305,692 152,846 76,423 229,270 114,635 343,906 171,953 515,860 257,930 128,965 386,896 193,448 96,724 48,362 24,181 72,544 36,272 18,136 9,068 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360

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