λ
Harmonic Matrix

989,164

22 × 11 × 22481
Deficient Even Composite

989,164 has digital root 1. The neighboring primes are 989123 and 989171; its proper-divisor sum differs from the starting integer by -89,840.

Prime Factor Structure

Factorization String 2^2 × 11 × 22481
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,888,488
Proper Divisor Sum 899,324
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #989123 ← → #989171

Radix Representation

Decimal 989164
Binary 11110001011111101100 (20 bits)
Octal 0o3613754
Hexadecimal 0xF17EC

Divisor Catalog (12)

1 2 4 11 22 44 22,481 44,962 89,924 247,291 494,582 989,164

Collatz Trajectory (64 steps to reach 1)

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

989,164 494,582 247,291 741,874 370,937 1,112,812 556,406 278,203 834,610 417,305 1,251,916 625,958 312,979 938,938 469,469 1,408,408 704,204 352,102 176,051 528,154 264,077 792,232 396,116 198,058 99,029 297,088 148,544 74,272 37,136 18,568 9,284 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5

More profiles

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