λ
Zalai Atlas

9,877,200

24 × 3 × 52 × 8231
Abundant Even Composite

9,877,200 has the prime decomposition 2^4 × 3 × 5^2 × 8231. Its 4 distinct prime factors produce 60 positive divisors.

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Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 8231
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 31,643,808
Proper Divisor Sum 21,766,608
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9877199 ← → #9877211

Radix Representation

Decimal 9877200
Binary 100101101011011011010000 (24 bits)
Octal 0o45533320
Hexadecimal 0x96B6D0

Divisor Catalog (5 of 60)

1 2 3 4 5

Collatz Trajectory (163 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.

9,877,200 4,938,600 2,469,300 1,234,650 617,325

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