640,302

2 × 3 × 13 × 8209

Starting at 640,302, the Collatz iteration reaches 1 after 71 steps. The first transition is 320151; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 8209

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,379,280

Proper Divisor Sum 738,978

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #640279 ← → #640303

Radix Representation

Decimal	640302
Binary	10011100010100101110 (20 bits)
Octal	0o2342456
Hexadecimal	0x9C52E

Divisor Catalog (16)

1 2 3 6 13 26 39 78 8,209 16,418 24,627 49,254 106,717 213,434 320,151 640,302

Collatz Trajectory (71 steps to reach 1)

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

640,302 320,151 960,454 480,227 1,440,682 720,341 2,161,024 1,080,512 540,256 270,128 135,064 67,532 33,766 16,883 50,650 25,325 75,976 37,988 18,994 9,497 28,492 14,246 7,123 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113

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