λ
Harmonic Matrix

1,607,112

23 × 32 × 13 × 17 × 101
Abundant Even Composite

1,607,112 has digital root 9. The neighboring primes are 1607107 and 1607113; its proper-divisor sum differs from the starting integer by 1,798,056.

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Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 17 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 5,012,280
Proper Divisor Sum 3,405,168
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1607107 ← → #1607113

Radix Representation

Decimal 1607112
Binary 110001000010111001000 (21 bits)
Octal 0o6102710
Hexadecimal 0x1885C8

Divisor Catalog (5 of 96)

1 2 3 4 6

Collatz Trajectory (70 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.

1,607,112 803,556 401,778 200,889 602,668

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