λ
Harmonic Matrix

1,418,144

25 × 7 × 13 × 487
Abundant Even Composite

1,418,144 has digital root 5. The neighboring primes are 1418119 and 1418147; its proper-divisor sum differs from the starting integer by 607,040.

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Prime Factor Structure

Factorization String 2^5 × 7 × 13 × 487
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,443,328
Proper Divisor Sum 2,025,184
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1418119 ← → #1418147

Radix Representation

Decimal 1418144
Binary 101011010001110100000 (21 bits)
Octal 0o5321640
Hexadecimal 0x15A3A0

Divisor Catalog (5 of 48)

1 2 4 7 8

Collatz Trajectory (49 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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