λ
Harmonic Matrix

9,372,840

23 × 3 × 5 × 37 × 2111
Abundant Even Composite

9,372,840 has digital root 6. The neighboring primes are 9372827 and 9372841; its proper-divisor sum differs from the starting integer by 10,146,480.

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Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 37 × 2111
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 28,892,160
Proper Divisor Sum 19,519,320
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9372827 ← → #9372841

Radix Representation

Decimal 9372840
Binary 100011110000010010101000 (24 bits)
Octal 0o43602250
Hexadecimal 0x8F04A8

Divisor Catalog (5 of 64)

1 2 3 4 5

Collatz Trajectory (181 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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