λ
Harmonic Matrix

3,459,976

23 × 13 × 17 × 19 × 103
Abundant Even Composite

3,459,976 has digital root 7. The neighboring primes are 3459971 and 3459977; its proper-divisor sum differs from the starting integer by 942,448.

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Prime Factor Structure

Factorization String 2^3 × 13 × 17 × 19 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,862,400
Proper Divisor Sum 4,402,424
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3459971 ← → #3459977

Radix Representation

Decimal 3459976
Binary 1101001100101110001000 (22 bits)
Octal 0o15145610
Hexadecimal 0x34CB88

Divisor Catalog (5 of 64)

1 2 4 8 13

Collatz Trajectory (45 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.

3,459,976 1,729,988 864,994 432,497 1,297,492

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