λ
Harmonic Matrix

1,111,292

22 × 7 × 13 × 43 × 71
Abundant Even Composite

1,111,292 has digital root 8. The neighboring primes are 1111289 and 1111301; its proper-divisor sum differs from the starting integer by 261,128.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 43 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,483,712
Proper Divisor Sum 1,372,420
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1111289 ← → #1111301

Radix Representation

Decimal 1111292
Binary 100001111010011111100 (21 bits)
Octal 0o4172374
Hexadecimal 0x10F4FC

Divisor Catalog (48)

Collatz Trajectory (139 steps to reach 1)

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

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