1,329,911

11² × 29 × 379

Starting at 1,329,911, the Collatz iteration reaches 1 after 80 steps. The first transition is 3989734; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 11^2 × 29 × 379

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,516,200

Proper Divisor Sum 186,289

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #1329907 ← → #1329941

Radix Representation

Decimal	1329911
Binary	101000100101011110111 (21 bits)
Octal	0o5045367
Hexadecimal	0x144AF7

Divisor Catalog (12)

1 11 29 121 319 379 3,509 4,169 10,991 45,859 120,901 1,329,911

Collatz Trajectory (80 steps to reach 1)

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

1,329,911 3,989,734 1,994,867 5,984,602 2,992,301 8,976,904 4,488,452 2,244,226 1,122,113 3,366,340 1,683,170 841,585 2,524,756 1,262,378 631,189 1,893,568 946,784 473,392 236,696 118,348 59,174 29,587 88,762 44,381 133,144 66,572 33,286 16,643 49,930 24,965 74,896 37,448 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408

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