λ
Harmonic Matrix

1,095,168

29 × 3 × 23 × 31
Abundant Even Composite

1,095,168 has digital root 3. The neighboring primes are 1095161 and 1095169; its proper-divisor sum differs from the starting integer by 952,320.

Prime Factor Structure

Factorization String 2^9 × 3 × 23 × 31
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 3,142,656
Proper Divisor Sum 2,047,488
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1095161 ← → #1095169

Radix Representation

Decimal 1095168
Binary 100001011011000000000 (21 bits)
Octal 0o4133000
Hexadecimal 0x10B600

Divisor Catalog (60 of 80)

Collatz Trajectory (85 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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