λ
Sigma Notebook

9,834,496

212 × 74
Abundant Even Composite Square (√ = 3136)

9,834,496 is even and an exact square with square root 3136. Its factorization is 2^12 × 7^4 and its 65 divisors sum to 22,942,991.

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Prime Factor Structure

Factorization String 2^12 × 7^4
Distinct Prime Factors 2
Square Status Yes (√9834496 = 3136)
Abundance Measure Abundant

Analytical Properties

Total Divisors 65
Divisor Sum (σ) 22,942,991
Proper Divisor Sum 13,108,495
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9834491 ← → #9834497

Radix Representation

Decimal 9834496
Binary 100101100001000000000000 (24 bits)
Octal 0o45410000
Hexadecimal 0x961000

Divisor Catalog (5 of 65)

1 2 4 7 8

Collatz Trajectory (176 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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