λ
Harmonic Matrix

3,537,768

23 × 3 × 13 × 17 × 23 × 29
Abundant Even Composite

3,537,768 has digital root 3. The neighboring primes are 3537763 and 3537769; its proper-divisor sum differs from the starting integer by 3,810,864.

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Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 17 × 23 × 29
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 10,886,400
Proper Divisor Sum 7,348,632
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3537763 ← → #3537769

Radix Representation

Decimal 3537768
Binary 1101011111101101101000 (22 bits)
Octal 0o15375550
Hexadecimal 0x35FB68

Divisor Catalog (5 of 128)

1 2 3 4 6

Collatz Trajectory (128 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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