λ
Harmonic Matrix

6,195,462

2 × 3 × 72 × 13 × 1621
Abundant Even Composite

6,195,462 has digital root 6. The neighboring primes are 6195461 and 6195479; its proper-divisor sum differs from the starting integer by 3,141,348.

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Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 13 × 1621
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,532,272
Proper Divisor Sum 9,336,810
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6195461 ← → #6195479

Radix Representation

Decimal 6195462
Binary 10111101000100100000110 (23 bits)
Octal 0o27504406
Hexadecimal 0x5E8906

Divisor Catalog (5 of 48)

1 2 3 6 7

Collatz Trajectory (103 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

6,195,462 3,097,731 9,293,194 4,646,597 13,939,792

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