λ
Integer Codex

3,829,572

22 × 33 × 59 × 601
Abundant Even Composite

For 3,829,572, the 48 positive divisors have a total of 10,113,600. Removing 3,829,572 leaves 6,284,028, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 59 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,113,600
Proper Divisor Sum 6,284,028
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3829559 ← → #3829597

Radix Representation

Decimal 3829572
Binary 1110100110111101000100 (22 bits)
Octal 0o16467504
Hexadecimal 0x3A6F44

Divisor Catalog (48)

Collatz Trajectory (110 steps to reach 1)

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

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