λ
Harmonic Matrix

1,102,464

27 × 33 × 11 × 29
Abundant Even Composite

1,102,464 has digital root 9. The neighboring primes are 1102463 and 1102481; its proper-divisor sum differs from the starting integer by 1,467,072.

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Prime Factor Structure

Factorization String 2^7 × 3^3 × 11 × 29
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 3,672,000
Proper Divisor Sum 2,569,536
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1102463 ← → #1102481

Radix Representation

Decimal 1102464
Binary 100001101001010000000 (21 bits)
Octal 0o4151200
Hexadecimal 0x10D280

Divisor Catalog (5 of 128)

1 2 3 4 6

Collatz Trajectory (85 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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