1,080,409

11² × 8929

Starting at 1,080,409, the Collatz iteration reaches 1 after 103 steps. The first transition is 3241228; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 11^2 × 8929

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,187,690

Proper Divisor Sum 107,281

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1080383 ← → #1080413

Radix Representation

Decimal	1080409
Binary	100000111110001011001 (21 bits)
Octal	0o4076131
Hexadecimal	0x107C59

Divisor Catalog (6)

1 11 121 8,929 98,219 1,080,409

Collatz Trajectory (103 steps to reach 1)

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

1,080,409 3,241,228 1,620,614 810,307 2,430,922 1,215,461 3,646,384 1,823,192 911,596 455,798 227,899 683,698 341,849 1,025,548 512,774 256,387 769,162 384,581 1,153,744 576,872 288,436 144,218 72,109 216,328 108,164 54,082 27,041 81,124 40,562 20,281 60,844 30,422 15,211 45,634 22,817 68,452 34,226 17,113 51,340 25,670 12,835 38,506 19,253 57,760 28,880 14,440 7,220 3,610 1,805 5,416 2,708 1,354 677 2,032 1,016 508 254 127 382 191

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