λ
Harmonic Matrix

6,142,912

26 × 53 × 1811
Abundant Even Composite

6,142,912 has digital root 7. The neighboring primes are 6142897 and 6142949; its proper-divisor sum differs from the starting integer by 140,872.

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Prime Factor Structure

Factorization String 2^6 × 53 × 1811
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 12,426,696
Proper Divisor Sum 6,283,784
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6142897 ← → #6142949

Radix Representation

Decimal 6142912
Binary 10111011011101111000000 (23 bits)
Octal 0o27335700
Hexadecimal 0x5DBBC0

Divisor Catalog (5 of 28)

1 2 4 8 16

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.

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