663,804

2² × 3² × 18439

Starting at 663,804, the Collatz iteration reaches 1 after 291 steps. The first transition is 331902; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 18439

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,678,040

Proper Divisor Sum 1,014,236

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #663797 ← → #663821

Radix Representation

Decimal	663804
Binary	10100010000011111100 (20 bits)
Octal	0o2420374
Hexadecimal	0xA20FC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 18,439 36,878 55,317 73,756 110,634 165,951 221,268 331,902 663,804

Collatz Trajectory (291 steps to reach 1)

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

663,804 331,902 165,951 497,854 248,927 746,782 373,391 1,120,174 560,087 1,680,262 840,131 2,520,394 1,260,197 3,780,592 1,890,296 945,148 472,574 236,287 708,862 354,431 1,063,294 531,647 1,594,942 797,471 2,392,414 1,196,207 3,588,622 1,794,311 5,382,934 2,691,467 8,074,402 4,037,201 12,111,604 6,055,802 3,027,901 9,083,704 4,541,852 2,270,926 1,135,463 3,406,390 1,703,195 5,109,586 2,554,793 7,664,380 3,832,190 1,916,095 5,748,286 2,874,143 8,622,430 4,311,215 12,933,646 6,466,823 19,400,470 9,700,235 29,100,706 14,550,353 43,651,060 21,825,530 10,912,765 32,738,296

← Previous Integer #663,803 Browse Full Index Next Integer #663,805 →