1,022,940

2² × 3² × 5 × 5683

Starting at 1,022,940, the Collatz iteration reaches 1 after 108 steps. The first transition is 511470; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 5683

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 3,103,464

Proper Divisor Sum 2,080,524

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1022933 ← → #1022963

Radix Representation

Decimal	1022940
Binary	11111001101111011100 (20 bits)
Octal	0o3715734
Hexadecimal	0xF9BDC

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5,683 11,366 17,049 22,732 28,415 34,098 51,147 56,830 68,196 85,245 102,294 113,660 170,490 204,588 255,735 340,980 511,470 1,022,940

Collatz Trajectory (108 steps to reach 1)

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

1,022,940 511,470 255,735 767,206 383,603 1,150,810 575,405 1,726,216 863,108 431,554 215,777 647,332 323,666 161,833 485,500 242,750 121,375 364,126 182,063 546,190 273,095 819,286 409,643 1,228,930 614,465 1,843,396 921,698 460,849 1,382,548 691,274 345,637 1,036,912 518,456 259,228 129,614 64,807 194,422 97,211 291,634 145,817 437,452 218,726 109,363 328,090 164,045 492,136 246,068 123,034 61,517 184,552 92,276 46,138 23,069 69,208 34,604 17,302 8,651 25,954 12,977 38,932

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