λ
Harmonic Matrix

4,614,132

22 × 3 × 29 × 13259
Abundant Even Composite

4,614,132 has digital root 3. The neighboring primes are 4614119 and 4614139; its proper-divisor sum differs from the starting integer by 1,910,136.

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Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 13259
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,138,400
Proper Divisor Sum 6,524,268
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4614119 ← → #4614139

Radix Representation

Decimal 4614132
Binary 10001100110011111110100 (23 bits)
Octal 0o21463764
Hexadecimal 0x4667F4

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (118 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.

4,614,132 2,307,066 1,153,533 3,460,600 1,730,300

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