λ
Harmonic Matrix

3,198,109

3198109
Deficient Odd Prime

3,198,109 has digital root 4. The neighboring primes are 3198101 and 3198113; its proper-divisor sum differs from the starting integer by -3,198,108.

Prime Factor Structure

Factorization String 3198109
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,198,110
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3198101 ← → #3198113

Radix Representation

Decimal 3198109
Binary 1100001100110010011101 (22 bits)
Octal 0o14146235
Hexadecimal 0x30CC9D

Divisor Catalog (2)

Collatz Trajectory (146 steps to reach 1)

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

3,198,109 9,594,328 4,797,164 2,398,582 1,199,291 3,597,874 1,798,937 5,396,812 2,698,406 1,349,203 4,047,610 2,023,805 6,071,416 3,035,708 1,517,854 758,927 2,276,782 1,138,391 3,415,174 1,707,587 5,122,762 2,561,381 7,684,144 3,842,072 1,921,036 960,518 480,259 1,440,778 720,389 2,161,168 1,080,584 540,292 270,146 135,073 405,220 202,610 101,305 303,916 151,958 75,979 227,938 113,969 341,908 170,954 85,477 256,432 128,216 64,108 32,054 16,027 48,082 24,041 72,124 36,062 18,031 54,094 27,047 81,142 40,571 121,714

More profiles

← Previous Integer #3,198,108 Browse Full Index Next Integer #3,198,110 →