9,722,682

2 × 3² × 540149

Starting at 9,722,682, the Collatz iteration reaches 1 after 225 steps. The first transition is 4861341; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 540149

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 21,065,850

Proper Divisor Sum 11,343,168

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9722681 ← → #9722693

Radix Representation

Decimal	9722682
Binary	100101000101101100111010 (24 bits)
Octal	0o45055472
Hexadecimal	0x945B3A

Divisor Catalog (12)

1 2 3 6 9 18 540,149 1,080,298 1,620,447 3,240,894 4,861,341 9,722,682

Collatz Trajectory (225 steps to reach 1)

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

9,722,682 4,861,341 14,584,024 7,292,012 3,646,006 1,823,003 5,469,010 2,734,505 8,203,516 4,101,758 2,050,879 6,152,638 3,076,319 9,228,958 4,614,479 13,843,438 6,921,719 20,765,158 10,382,579 31,147,738 15,573,869 46,721,608 23,360,804 11,680,402 5,840,201 17,520,604 8,760,302 4,380,151 13,140,454 6,570,227 19,710,682 9,855,341 29,566,024 14,783,012 7,391,506 3,695,753 11,087,260 5,543,630 2,771,815 8,315,446 4,157,723 12,473,170 6,236,585 18,709,756 9,354,878 4,677,439 14,032,318 7,016,159 21,048,478 10,524,239 31,572,718 15,786,359 47,359,078 23,679,539 71,038,618 35,519,309 106,557,928 53,278,964 26,639,482 13,319,741

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