1,080,149

7 × 23 × 6709

Starting at 1,080,149, the Collatz iteration reaches 1 after 165 steps. The first transition is 3240448; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 23 × 6709

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,288,320

Proper Divisor Sum 208,171

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #1080143 ← → #1080173

Radix Representation

Decimal	1080149
Binary	100000111101101010101 (21 bits)
Octal	0o4075525
Hexadecimal	0x107B55

Divisor Catalog (8)

1 7 23 161 6,709 46,963 154,307 1,080,149

Collatz Trajectory (165 steps to reach 1)

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

1,080,149 3,240,448 1,620,224 810,112 405,056 202,528 101,264 50,632 25,316 12,658 6,329 18,988 9,494 4,747 14,242 7,121 21,364 10,682 5,341 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144

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