λ
Match Zalai

4,702,008

23 × 3 × 107 × 1831
Abundant Even Composite

4,702,008 factors as 2^3 × 3 × 107 × 1831. Its 32 positive divisors give a proper-divisor sum of 7,169,352, so this integer is abundant. The Collatz stopping time is 131 steps.

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Prime Factor Structure

Factorization String 2^3 × 3 × 107 × 1831
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,871,360
Proper Divisor Sum 7,169,352
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4701971 ← → #4702037

Radix Representation

Decimal 4702008
Binary 10001111011111100111000 (23 bits)
Octal 0o21737470
Hexadecimal 0x47BF38

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (131 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.

4,702,008 2,351,004 1,175,502 587,751 1,763,254

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