λ
Harmonic Matrix

5,395,984

24 × 11 × 23 × 31 × 43
Abundant Even Composite

5,395,984 has digital root 7. The neighboring primes are 5395967 and 5395991; its proper-divisor sum differs from the starting integer by 1,778,656.

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Prime Factor Structure

Factorization String 2^4 × 11 × 23 × 31 × 43
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 12,570,624
Proper Divisor Sum 7,174,640
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #5395967 ← → #5395991

Radix Representation

Decimal 5395984
Binary 10100100101011000010000 (23 bits)
Octal 0o24453020
Hexadecimal 0x525610

Divisor Catalog (5 of 80)

1 2 4 8 11

Collatz Trajectory (113 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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