λ
Prime Ledger

4,506,436

22 × 11 × 23 × 61 × 73
Abundant Even Composite

4,506,436 has the prime decomposition 2^2 × 11 × 23 × 61 × 73. Its 5 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 11 × 23 × 61 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,249,408
Proper Divisor Sum 4,742,972
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4506427 ← → #4506451

Radix Representation

Decimal 4506436
Binary 10001001100001101000100 (23 bits)
Octal 0o21141504
Hexadecimal 0x44C344

Divisor Catalog (5 of 48)

1 2 4 11 22

Collatz Trajectory (110 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.

4,506,436 2,253,218 1,126,609 3,379,828 1,689,914

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