λ
Sigma Notebook

7,836,100

22 × 52 × 23 × 3407
Abundant Even Composite

7,836,100 is even and not a perfect square. Its factorization is 2^2 × 5^2 × 23 × 3407 and its 36 divisors sum to 17,748,864.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 23 × 3407
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 17,748,864
Proper Divisor Sum 9,912,764
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7836091 ← → #7836107

Radix Representation

Decimal 7836100
Binary 11101111001000111000100 (23 bits)
Octal 0o35710704
Hexadecimal 0x7791C4

Divisor Catalog (36)

Collatz Trajectory (186 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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