643,336

2³ × 29 × 47 × 59

Starting at 643,336, the Collatz iteration reaches 1 after 123 steps. The first transition is 321668; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 29 × 47 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,296,000

Proper Divisor Sum 652,664

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #643303 ← → #643369

Radix Representation

Decimal	643336
Binary	10011101000100001000 (20 bits)
Octal	0o2350410
Hexadecimal	0x9D108

Divisor Catalog (32)

1 2 4 8 29 47 58 59 94 116 118 188 232 236 376 472 1,363 1,711 2,726 2,773 3,422 5,452 5,546 6,844 10,904 11,092 13,688 22,184 80,417 160,834 321,668 643,336

Collatz Trajectory (123 steps to reach 1)

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

643,336 321,668 160,834 80,417 241,252 120,626 60,313 180,940 90,470 45,235 135,706 67,853 203,560 101,780 50,890 25,445 76,336 38,168 19,084 9,542 4,771 14,314 7,157 21,472 10,736 5,368 2,684 1,342 671 2,014 1,007 3,022 1,511 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 8,180 4,090

← Previous Integer #643,335 Browse Full Index Next Integer #643,337 →