λ
Harmonic Matrix

4,172,582

2 × 172 × 7219
Deficient Even Composite

4,172,582 has digital root 2. The neighboring primes are 4172579 and 4172621; its proper-divisor sum differs from the starting integer by -1,695,544.

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Prime Factor Structure

Factorization String 2 × 17^2 × 7219
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,649,620
Proper Divisor Sum 2,477,038
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4172579 ← → #4172621

Radix Representation

Decimal 4172582
Binary 1111111010101100100110 (22 bits)
Octal 0o17725446
Hexadecimal 0x3FAB26

Divisor Catalog (5 of 12)

1 2 17 34 289

Collatz Trajectory (110 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.

4,172,582 2,086,291 6,258,874 3,129,437 9,388,312

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