λ
Match Zalai

4,912,820

22 × 5 × 11 × 137 × 163
Abundant Even Composite

4,912,820 factors as 2^2 × 5 × 11 × 137 × 163. Its 48 positive divisors give a proper-divisor sum of 6,493,708, so this integer is abundant. The Collatz stopping time is 113 steps.

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Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 137 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,406,528
Proper Divisor Sum 6,493,708
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4912807 ← → #4912837

Radix Representation

Decimal 4912820
Binary 10010101111011010110100 (23 bits)
Octal 0o22573264
Hexadecimal 0x4AF6B4

Divisor Catalog (5 of 48)

1 2 4 5 10

Collatz Trajectory (113 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.

4,912,820 2,456,410 1,228,205 3,684,616 1,842,308

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