λ
Harmonic Matrix

8,780,676

22 × 3 × 199 × 3677
Abundant Even Composite

8,780,676 has digital root 6. The neighboring primes are 8780663 and 8780677; its proper-divisor sum differs from the starting integer by 3,035,448.

Prime Factor Structure

Factorization String 2^2 × 3 × 199 × 3677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,596,800
Proper Divisor Sum 11,816,124
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8780663 ← → #8780677

Radix Representation

Decimal 8780676
Binary 100001011111101110000100 (24 bits)
Octal 0o41375604
Hexadecimal 0x85FB84

Divisor Catalog (24)

1 2 3 4 6 12 199 398 597 796 1,194 2,388 3,677 7,354 11,031 14,708 22,062 44,124 731,723 1,463,446 2,195,169 2,926,892 4,390,338 8,780,676

Collatz Trajectory (181 steps to reach 1)

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

8,780,676 4,390,338 2,195,169 6,585,508 3,292,754 1,646,377 4,939,132 2,469,566 1,234,783 3,704,350 1,852,175 5,556,526 2,778,263 8,334,790 4,167,395 12,502,186 6,251,093 18,753,280 9,376,640 4,688,320 2,344,160 1,172,080 586,040 293,020 146,510 73,255 219,766 109,883 329,650 164,825 494,476 247,238 123,619 370,858 185,429 556,288 278,144 139,072 69,536 34,768 17,384 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

More profiles

← Previous Integer #8,780,675 Browse Full Index Next Integer #8,780,677 →