λ
Match Zalai

4,635,864

23 × 32 × 312 × 67
Abundant Even Composite

4,635,864 factors as 2^3 × 3^2 × 31^2 × 67. Its 72 positive divisors give a proper-divisor sum of 8,531,316, so this integer is abundant. The Collatz stopping time is 206 steps.

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Prime Factor Structure

Factorization String 2^3 × 3^2 × 31^2 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 13,167,180
Proper Divisor Sum 8,531,316
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4635863 ← → #4635871

Radix Representation

Decimal 4635864
Binary 10001101011110011011000 (23 bits)
Octal 0o21536330
Hexadecimal 0x46BCD8

Divisor Catalog (5 of 72)

1 2 3 4 6

Collatz Trajectory (206 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.

4,635,864 2,317,932 1,158,966 579,483 1,738,450

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