λ
Harmonic Matrix

7,304,064

27 × 3 × 23 × 827
Abundant Even Composite

7,304,064 has digital root 6. The neighboring primes are 7304057 and 7304081; its proper-divisor sum differs from the starting integer by 5,661,312.

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Prime Factor Structure

Factorization String 2^7 × 3 × 23 × 827
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 20,269,440
Proper Divisor Sum 12,965,376
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7304057 ← → #7304081

Radix Representation

Decimal 7304064
Binary 11011110111001110000000 (23 bits)
Octal 0o33671600
Hexadecimal 0x6F7380

Divisor Catalog (5 of 64)

1 2 3 4 6

Collatz Trajectory (111 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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