λ
Harmonic Matrix

6,198,212

22 × 1549553
Deficient Even Composite

6,198,212 has digital root 2. The neighboring primes are 6198209 and 6198221; its proper-divisor sum differs from the starting integer by -1,549,546.

Prime Factor Structure

Factorization String 2^2 × 1549553
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 10,846,878
Proper Divisor Sum 4,648,666
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6198209 ← → #6198221

Radix Representation

Decimal 6198212
Binary 10111101001001111000100 (23 bits)
Octal 0o27511704
Hexadecimal 0x5E93C4

Divisor Catalog (6)

1 2 4 1,549,553 3,099,106 6,198,212

Collatz Trajectory (59 steps to reach 1)

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

6,198,212 3,099,106 1,549,553 4,648,660 2,324,330 1,162,165 3,486,496 1,743,248 871,624 435,812 217,906 108,953 326,860 163,430 81,715 245,146 122,573 367,720 183,860 91,930 45,965 137,896 68,948 34,474 17,237 51,712 25,856 12,928 6,464 3,232 1,616 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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