8,780,142

2 × 3 × 7 × 349 × 599

Starting at 8,780,142, the Collatz iteration reaches 1 after 181 steps. The first transition is 4390071; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 349 × 599

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 20,160,000

Proper Divisor Sum 11,379,858

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8780131 ← → #8780153

Radix Representation

Decimal	8780142
Binary	100001011111100101101110 (24 bits)
Octal	0o41374556
Hexadecimal	0x85F96E

Divisor Catalog (32)

1 2 3 6 7 14 21 42 349 599 698 1,047 1,198 1,797 2,094 2,443 3,594 4,193 4,886 7,329 8,386 12,579 14,658 25,158 209,051 418,102 627,153 1,254,306 1,463,357 2,926,714 4,390,071 8,780,142

Collatz Trajectory (181 steps to reach 1)

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

8,780,142 4,390,071 13,170,214 6,585,107 19,755,322 9,877,661 29,632,984 14,816,492 7,408,246 3,704,123 11,112,370 5,556,185 16,668,556 8,334,278 4,167,139 12,501,418 6,250,709 18,752,128 9,376,064 4,688,032 2,344,016 1,172,008 586,004 293,002 146,501 439,504 219,752 109,876 54,938 27,469 82,408 41,204 20,602 10,301 30,904 15,452 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 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

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