λ
Harmonic Matrix

3,400,116

22 × 3 × 67 × 4229
Abundant Even Composite

3,400,116 has digital root 6. The neighboring primes are 3400097 and 3400123; its proper-divisor sum differs from the starting integer by 1,253,688.

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Prime Factor Structure

Factorization String 2^2 × 3 × 67 × 4229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,053,920
Proper Divisor Sum 4,653,804
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #3400097 ← → #3400123

Radix Representation

Decimal 3400116
Binary 1100111110000110110100 (22 bits)
Octal 0o14760664
Hexadecimal 0x33E1B4

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (208 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.

3,400,116 1,700,058 850,029 2,550,088 1,275,044

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