λ
Harmonic Matrix

3,767,121

33 × 412 × 83
Deficient Odd Composite

3,767,121 has digital root 9. The neighboring primes are 3767119 and 3767123; its proper-divisor sum differs from the starting integer by -1,744,962.

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Prime Factor Structure

Factorization String 3^3 × 41^2 × 83
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,789,280
Proper Divisor Sum 2,022,159
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3767119 ← → #3767123

Radix Representation

Decimal 3767121
Binary 1110010111101101010001 (22 bits)
Octal 0o16275521
Hexadecimal 0x397B51

Divisor Catalog (5 of 24)

1 3 9 27 41

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.

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