λ
Harmonic Matrix

6,177,136

24 × 72 × 7879
Abundant Even Composite

6,177,136 has digital root 4. The neighboring primes are 6177107 and 6177151; its proper-divisor sum differs from the starting integer by 1,569,688.

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Prime Factor Structure

Factorization String 2^4 × 7^2 × 7879
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 13,923,960
Proper Divisor Sum 7,746,824
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6177107 ← → #6177151

Radix Representation

Decimal 6177136
Binary 10111100100000101110000 (23 bits)
Octal 0o27440560
Hexadecimal 0x5E4170

Divisor Catalog (5 of 30)

1 2 4 7 8

Collatz Trajectory (51 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.

6,177,136 3,088,568 1,544,284 772,142 386,071

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