7,982,298

2 × 3² × 283 × 1567

Starting at 7,982,298, the Collatz iteration reaches 1 after 230 steps. The first transition is 3991149; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 283 × 1567

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,367,168

Proper Divisor Sum 9,384,870

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7982297 ← → #7982323

Radix Representation

Decimal	7982298
Binary	11110011100110011011010 (23 bits)
Octal	0o36346332
Hexadecimal	0x79CCDA

Divisor Catalog (24)

1 2 3 6 9 18 283 566 849 1,567 1,698 2,547 3,134 4,701 5,094 9,402 14,103 28,206 443,461 886,922 1,330,383 2,660,766 3,991,149 7,982,298

Collatz Trajectory (230 steps to reach 1)

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

7,982,298 3,991,149 11,973,448 5,986,724 2,993,362 1,496,681 4,490,044 2,245,022 1,122,511 3,367,534 1,683,767 5,051,302 2,525,651 7,576,954 3,788,477 11,365,432 5,682,716 2,841,358 1,420,679 4,262,038 2,131,019 6,393,058 3,196,529 9,589,588 4,794,794 2,397,397 7,192,192 3,596,096 1,798,048 899,024 449,512 224,756 112,378 56,189 168,568 84,284 42,142 21,071 63,214 31,607 94,822 47,411 142,234 71,117 213,352 106,676 53,338 26,669 80,008 40,004 20,002 10,001 30,004 15,002 7,501 22,504 11,252 5,626 2,813 8,440

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