λ
Harmonic Matrix

889,361

11 × 233 × 347
Deficient Odd Composite

889,361 has digital root 8. The neighboring primes are 889351 and 889363; its proper-divisor sum differs from the starting integer by -801,538.

Prime Factor Structure

Factorization String 11 × 233 × 347
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 977,184
Proper Divisor Sum 87,823
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #889351 ← → #889363

Radix Representation

Decimal 889361
Binary 11011001001000010001 (20 bits)
Octal 0o3311021
Hexadecimal 0xD9211

Divisor Catalog (8)

1 11 233 347 2,563 3,817 80,851 889,361

Collatz Trajectory (51 steps to reach 1)

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

889,361 2,668,084 1,334,042 667,021 2,001,064 1,000,532 500,266 250,133 750,400 375,200 187,600 93,800 46,900 23,450 11,725 35,176 17,588 8,794 4,397 13,192 6,596 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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