λ
Harmonic Matrix

1,011,824

24 × 11 × 5749
Abundant Even Composite

1,011,824 has digital root 8. The neighboring primes are 1011817 and 1011827; its proper-divisor sum differs from the starting integer by 115,352.

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Prime Factor Structure

Factorization String 2^4 × 11 × 5749
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 2,139,000
Proper Divisor Sum 1,127,176
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1011817 ← → #1011827

Radix Representation

Decimal 1011824
Binary 11110111000001110000 (20 bits)
Octal 0o3670160
Hexadecimal 0xF7070

Divisor Catalog (5 of 20)

1 2 4 8 11

Collatz Trajectory (183 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.

1,011,824 505,912 252,956 126,478 63,239

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