1,002,303

3² × 17 × 6551

Starting at 1,002,303, the Collatz iteration reaches 1 after 258 steps. The first transition is 3006910; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 17 × 6551

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,533,168

Proper Divisor Sum 530,865

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #1002299 ← → #1002341

Radix Representation

Decimal	1002303
Binary	11110100101100111111 (20 bits)
Octal	0o3645477
Hexadecimal	0xF4B3F

Divisor Catalog (12)

1 3 9 17 51 153 6,551 19,653 58,959 111,367 334,101 1,002,303

Collatz Trajectory (258 steps to reach 1)

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

1,002,303 3,006,910 1,503,455 4,510,366 2,255,183 6,765,550 3,382,775 10,148,326 5,074,163 15,222,490 7,611,245 22,833,736 11,416,868 5,708,434 2,854,217 8,562,652 4,281,326 2,140,663 6,421,990 3,210,995 9,632,986 4,816,493 14,449,480 7,224,740 3,612,370 1,806,185 5,418,556 2,709,278 1,354,639 4,063,918 2,031,959 6,095,878 3,047,939 9,143,818 4,571,909 13,715,728 6,857,864 3,428,932 1,714,466 857,233 2,571,700 1,285,850 642,925 1,928,776 964,388 482,194 241,097 723,292 361,646 180,823 542,470 271,235 813,706 406,853 1,220,560 610,280 305,140 152,570 76,285 228,856

← Previous Integer #1,002,302 Browse Full Index Next Integer #1,002,304 →