λ
Harmonic Matrix

7,488,896

27 × 41 × 1427
Abundant Even Composite

7,488,896 has digital root 5. The neighboring primes are 7488893 and 7488947; its proper-divisor sum differs from the starting integer by 316,088.

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Prime Factor Structure

Factorization String 2^7 × 41 × 1427
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,293,880
Proper Divisor Sum 7,804,984
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #7488893 ← → #7488947

Radix Representation

Decimal 7488896
Binary 11100100100010110000000 (23 bits)
Octal 0o34442600
Hexadecimal 0x724580

Divisor Catalog (5 of 32)

1 2 4 8 16

Collatz Trajectory (173 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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