λ
Harmonic Matrix

891,080

23 × 5 × 22277
Abundant Even Composite

891,080 has digital root 8. The neighboring primes are 891067 and 891091; its proper-divisor sum differs from the starting integer by 222,860.

Prime Factor Structure

Factorization String 2^3 × 5 × 22277
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,005,020
Proper Divisor Sum 1,113,940
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #891067 ← → #891091

Radix Representation

Decimal 891080
Binary 11011001100011001000 (20 bits)
Octal 0o3314310
Hexadecimal 0xD98C8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 22,277 44,554 89,108 111,385 178,216 222,770 445,540 891,080

Collatz Trajectory (188 steps to reach 1)

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

891,080 445,540 222,770 111,385 334,156 167,078 83,539 250,618 125,309 375,928 187,964 93,982 46,991 140,974 70,487 211,462 105,731 317,194 158,597 475,792 237,896 118,948 59,474 29,737 89,212 44,606 22,303 66,910 33,455 100,366 50,183 150,550 75,275 225,826 112,913 338,740 169,370 84,685 254,056 127,028 63,514 31,757 95,272 47,636 23,818 11,909 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656

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