684,792

2³ × 3² × 9511

Starting at 684,792, the Collatz iteration reaches 1 after 198 steps. The first transition is 342396; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 9511

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,854,840

Proper Divisor Sum 1,170,048

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #684791 ← → #684793

Radix Representation

Decimal	684792
Binary	10100111001011111000 (20 bits)
Octal	0o2471370
Hexadecimal	0xA72F8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 9,511 19,022 28,533 38,044 57,066 76,088 85,599 114,132 171,198 228,264 342,396 684,792

Collatz Trajectory (198 steps to reach 1)

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

684,792 342,396 171,198 85,599 256,798 128,399 385,198 192,599 577,798 288,899 866,698 433,349 1,300,048 650,024 325,012 162,506 81,253 243,760 121,880 60,940 30,470 15,235 45,706 22,853 68,560 34,280 17,140 8,570 4,285 12,856 6,428 3,214 1,607 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354

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