2,306,727

3² × 73 × 3511

Starting at 2,306,727, the Collatz iteration reaches 1 after 99 steps. The first transition is 6920182; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 73 × 3511

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,378,544

Proper Divisor Sum 1,071,817

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2306677 ← → #2306737

Radix Representation

Decimal	2306727
Binary	1000110011001010100111 (22 bits)
Octal	0o10631247
Hexadecimal	0x2332A7

Divisor Catalog (12)

1 3 9 73 219 657 3,511 10,533 31,599 256,303 768,909 2,306,727

Collatz Trajectory (99 steps to reach 1)

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

2,306,727 6,920,182 3,460,091 10,380,274 5,190,137 15,570,412 7,785,206 3,892,603 11,677,810 5,838,905 17,516,716 8,758,358 4,379,179 13,137,538 6,568,769 19,706,308 9,853,154 4,926,577 14,779,732 7,389,866 3,694,933 11,084,800 5,542,400 2,771,200 1,385,600 692,800 346,400 173,200 86,600 43,300 21,650 10,825 32,476 16,238 8,119 24,358 12,179 36,538 18,269 54,808 27,404 13,702 6,851 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440

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