λ
Harmonic Matrix

3,693,844

22 × 7 × 11 × 67 × 179
Abundant Even Composite

3,693,844 has digital root 1. The neighboring primes are 3693841 and 3693853; its proper-divisor sum differs from the starting integer by 837,592.

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Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 67 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,225,280
Proper Divisor Sum 4,531,436
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3693841 ← → #3693853

Radix Representation

Decimal 3693844
Binary 1110000101110100010100 (22 bits)
Octal 0o16056424
Hexadecimal 0x385D14

Divisor Catalog (5 of 48)

1 2 4 7 11

Collatz Trajectory (172 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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