1,042,909

7 × 383 × 389

Starting at 1,042,909, the Collatz iteration reaches 1 after 165 steps. The first transition is 3128728; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 383 × 389

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,198,080

Proper Divisor Sum 155,171

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1042903 ← → #1042931

Radix Representation

Decimal	1042909
Binary	11111110100111011101 (20 bits)
Octal	0o3764735
Hexadecimal	0xFE9DD

Divisor Catalog (8)

1 7 383 389 2,681 2,723 148,987 1,042,909

Collatz Trajectory (165 steps to reach 1)

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

1,042,909 3,128,728 1,564,364 782,182 391,091 1,173,274 586,637 1,759,912 879,956 439,978 219,989 659,968 329,984 164,992 82,496 41,248 20,624 10,312 5,156 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188

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