λ
Harmonic Matrix

9,202,400

25 × 52 × 11503
Abundant Even Composite

9,202,400 has digital root 8. The neighboring primes are 9202379 and 9202411; its proper-divisor sum differs from the starting integer by 4,062,512.

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Prime Factor Structure

Factorization String 2^5 × 5^2 × 11503
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 22,467,312
Proper Divisor Sum 13,264,912
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #9202379 ← → #9202411

Radix Representation

Decimal 9202400
Binary 100011000110101011100000 (24 bits)
Octal 0o43065340
Hexadecimal 0x8C6AE0

Divisor Catalog (5 of 36)

1 2 4 5 8

Collatz Trajectory (101 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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