8,332,492

2² × 7 × 297589

Starting at 8,332,492, the Collatz iteration reaches 1 after 168 steps. The first transition is 4166246; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 297589

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,665,040

Proper Divisor Sum 8,332,548

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8332427 ← → #8332529

Radix Representation

Decimal	8332492
Binary	11111110010010011001100 (23 bits)
Octal	0o37622314
Hexadecimal	0x7F24CC

Divisor Catalog (12)

1 2 4 7 14 28 297,589 595,178 1,190,356 2,083,123 4,166,246 8,332,492

Collatz Trajectory (168 steps to reach 1)

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

8,332,492 4,166,246 2,083,123 6,249,370 3,124,685 9,374,056 4,687,028 2,343,514 1,171,757 3,515,272 1,757,636 878,818 439,409 1,318,228 659,114 329,557 988,672 494,336 247,168 123,584 61,792 30,896 15,448 7,724 3,862 1,931 5,794 2,897 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41

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