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Zalai Atlas

4,630,815

32 × 5 × 7 × 61 × 241
Abundant Odd Composite

4,630,815 has the prime decomposition 3^2 × 5 × 7 × 61 × 241. Its 5 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 61 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,362,496
Proper Divisor Sum 4,731,681
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4630789 ← → #4630831

Radix Representation

Decimal 4630815
Binary 10001101010100100011111 (23 bits)
Octal 0o21524437
Hexadecimal 0x46A91F

Divisor Catalog (5 of 48)

1 3 5 7 9

Collatz Trajectory (255 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.

4,630,815 13,892,446 6,946,223 20,838,670 10,419,335

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