λ
Harmonic Matrix

164,086

2 × 13 × 6311
Deficient Even Composite

164,086 has digital root 7. The neighboring primes are 164071 and 164089; its proper-divisor sum differs from the starting integer by -63,068.

Prime Factor Structure

Factorization String 2 × 13 × 6311
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 265,104
Proper Divisor Sum 101,018
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #164071 ← → #164089

Radix Representation

Decimal 164086
Binary 101000000011110110 (18 bits)
Octal 0o500366
Hexadecimal 0x280F6

Divisor Catalog (8)

1 2 13 26 6,311 12,622 82,043 164,086

Collatz Trajectory (121 steps to reach 1)

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

164,086 82,043 246,130 123,065 369,196 184,598 92,299 276,898 138,449 415,348 207,674 103,837 311,512 155,756 77,878 38,939 116,818 58,409 175,228 87,614 43,807 131,422 65,711 197,134 98,567 295,702 147,851 443,554 221,777 665,332 332,666 166,333 499,000 249,500 124,750 62,375 187,126 93,563 280,690 140,345 421,036 210,518 105,259 315,778 157,889 473,668 236,834 118,417 355,252 177,626 88,813 266,440 133,220 66,610 33,305 99,916 49,958 24,979 74,938 37,469

More profiles

← Previous Integer #164,085 Browse Full Index Next Integer #164,087 →