1,266,749

11² × 19² × 29

Starting at 1,266,749, the Collatz iteration reaches 1 after 129 steps. The first transition is 3800248; the starting value is odd with 18 positive divisors.

Prime Factor Structure

Factorization String 11^2 × 19^2 × 29

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,520,190

Proper Divisor Sum 253,441

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #1266743 ← → #1266751

Radix Representation

Decimal	1266749
Binary	100110101010000111101 (21 bits)
Octal	0o4652075
Hexadecimal	0x13543D

Divisor Catalog (18)

1 11 19 29 121 209 319 361 551 2,299 3,509 3,971 6,061 10,469 43,681 66,671 115,159 1,266,749

Collatz Trajectory (129 steps to reach 1)

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

1,266,749 3,800,248 1,900,124 950,062 475,031 1,425,094 712,547 2,137,642 1,068,821 3,206,464 1,603,232 801,616 400,808 200,404 100,202 50,101 150,304 75,152 37,576 18,788 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050

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