λ
Harmonic Matrix

2,781,025

52 × 13 × 43 × 199
Deficient Odd Composite

2,781,025 has digital root 7. The neighboring primes are 2781019 and 2781029; its proper-divisor sum differs from the starting integer by -1,742,850.

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Prime Factor Structure

Factorization String 5^2 × 13 × 43 × 199
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,819,200
Proper Divisor Sum 1,038,175
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2781019 ← → #2781029

Radix Representation

Decimal 2781025
Binary 1010100110111101100001 (22 bits)
Octal 0o12467541
Hexadecimal 0x2A6F61

Divisor Catalog (5 of 24)

1 5 13 25 43

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.

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