λ
Sigma Notebook

9,572,836

22 × 72 × 132 × 172
Abundant Even Composite Square (√ = 3094)

9,572,836 is even and an exact square with square root 3094. Its factorization is 2^2 × 7^2 × 13^2 × 17^2 and its 81 divisors sum to 22,416,219.

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Prime Factor Structure

Factorization String 2^2 × 7^2 × 13^2 × 17^2
Distinct Prime Factors 4
Square Status Yes (√9572836 = 3094)
Abundance Measure Abundant

Analytical Properties

Total Divisors 81
Divisor Sum (σ) 22,416,219
Proper Divisor Sum 12,843,383
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9572753 ← → #9572837

Radix Representation

Decimal 9572836
Binary 100100100001000111100100 (24 bits)
Octal 0o44410744
Hexadecimal 0x9211E4

Divisor Catalog (5 of 81)

1 2 4 7 13

Collatz Trajectory (132 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.

9,572,836 4,786,418 2,393,209 7,179,628 3,589,814

More profiles

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