λ
Harmonic Matrix

2,743,160

23 × 5 × 7 × 97 × 101
Abundant Even Composite

2,743,160 has digital root 5. The neighboring primes are 2743133 and 2743177; its proper-divisor sum differs from the starting integer by 1,710,800.

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Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 97 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,197,120
Proper Divisor Sum 4,453,960
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2743133 ← → #2743177

Radix Representation

Decimal 2743160
Binary 1010011101101101111000 (22 bits)
Octal 0o12355570
Hexadecimal 0x29DB78

Divisor Catalog (5 of 64)

1 2 4 5 7

Collatz Trajectory (81 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.

2,743,160 1,371,580 685,790 342,895 1,028,686

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