λ
Harmonic Matrix

3,189,204

22 × 32 × 88589
Abundant Even Composite

3,189,204 has digital root 9. The neighboring primes are 3189191 and 3189227; its proper-divisor sum differs from the starting integer by 1,683,282.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 88589
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 8,061,690
Proper Divisor Sum 4,872,486
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3189191 ← → #3189227

Radix Representation

Decimal 3189204
Binary 1100001010100111010100 (22 bits)
Octal 0o14124724
Hexadecimal 0x30A9D4

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 88,589 177,178 265,767 354,356 531,534 797,301 1,063,068 1,594,602 3,189,204

Collatz Trajectory (195 steps to reach 1)

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

3,189,204 1,594,602 797,301 2,391,904 1,195,952 597,976 298,988 149,494 74,747 224,242 112,121 336,364 168,182 84,091 252,274 126,137 378,412 189,206 94,603 283,810 141,905 425,716 212,858 106,429 319,288 159,644 79,822 39,911 119,734 59,867 179,602 89,801 269,404 134,702 67,351 202,054 101,027 303,082 151,541 454,624 227,312 113,656 56,828 28,414 14,207 42,622 21,311 63,934 31,967 95,902 47,951 143,854 71,927 215,782 107,891 323,674 161,837 485,512 242,756 121,378

More profiles

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