λ
Harmonic Matrix

6,309,204

22 × 3 × 11 × 47797
Abundant Even Composite

6,309,204 has digital root 6. The neighboring primes are 6309187 and 6309209; its proper-divisor sum differs from the starting integer by 3,441,720.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 47797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,060,128
Proper Divisor Sum 9,750,924
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6309187 ← → #6309209

Radix Representation

Decimal 6309204
Binary 11000000100010101010100 (23 bits)
Octal 0o30042524
Hexadecimal 0x604554

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 47,797 95,594 143,391 191,188 286,782 525,767 573,564 1,051,534 1,577,301 2,103,068 3,154,602 6,309,204

Collatz Trajectory (46 steps to reach 1)

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

6,309,204 3,154,602 1,577,301 4,731,904 2,365,952 1,182,976 591,488 295,744 147,872 73,936 36,968 18,484 9,242 4,621 13,864 6,932 3,466 1,733 5,200 2,600 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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