λ
Harmonic Matrix

4,628,688

24 × 3 × 96431
Abundant Even Composite

4,628,688 has digital root 6. The neighboring primes are 4628677 and 4628699; its proper-divisor sum differs from the starting integer by 2,700,192.

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Prime Factor Structure

Factorization String 2^4 × 3 × 96431
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 11,957,568
Proper Divisor Sum 7,328,880
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4628677 ← → #4628699

Radix Representation

Decimal 4628688
Binary 10001101010000011010000 (23 bits)
Octal 0o21520320
Hexadecimal 0x46A0D0

Divisor Catalog (5 of 20)

1 2 3 4 6

Collatz Trajectory (48 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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