λ
Harmonic Matrix

6,672,196

22 × 293 × 5693
Deficient Even Composite

6,672,196 has digital root 1. The neighboring primes are 6672191 and 6672229; its proper-divisor sum differs from the starting integer by -1,626,140.

Prime Factor Structure

Factorization String 2^2 × 293 × 5693
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,718,252
Proper Divisor Sum 5,046,056
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6672191 ← → #6672229

Radix Representation

Decimal 6672196
Binary 11001011100111101000100 (23 bits)
Octal 0o31347504
Hexadecimal 0x65CF44

Divisor Catalog (12)

1 2 4 293 586 1,172 5,693 11,386 22,772 1,668,049 3,336,098 6,672,196

Collatz Trajectory (191 steps to reach 1)

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

6,672,196 3,336,098 1,668,049 5,004,148 2,502,074 1,251,037 3,753,112 1,876,556 938,278 469,139 1,407,418 703,709 2,111,128 1,055,564 527,782 263,891 791,674 395,837 1,187,512 593,756 296,878 148,439 445,318 222,659 667,978 333,989 1,001,968 500,984 250,492 125,246 62,623 187,870 93,935 281,806 140,903 422,710 211,355 634,066 317,033 951,100 475,550 237,775 713,326 356,663 1,069,990 534,995 1,604,986 802,493 2,407,480 1,203,740 601,870 300,935 902,806 451,403 1,354,210 677,105 2,031,316 1,015,658 507,829 1,523,488

More profiles

← Previous Integer #6,672,195 Browse Full Index Next Integer #6,672,197 →