λ
Match Zalai

5,629,104

24 × 32 × 13 × 31 × 97
Abundant Even Composite

5,629,104 factors as 2^4 × 3^2 × 13 × 31 × 97. Its 120 positive divisors give a proper-divisor sum of 12,064,208, so this integer is abundant. The Collatz stopping time is 77 steps.

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Prime Factor Structure

Factorization String 2^4 × 3^2 × 13 × 31 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 17,693,312
Proper Divisor Sum 12,064,208
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5629097 ← → #5629109

Radix Representation

Decimal 5629104
Binary 10101011110010010110000 (23 bits)
Octal 0o25362260
Hexadecimal 0x55E4B0

Divisor Catalog (5 of 120)

1 2 3 4 6

Collatz Trajectory (77 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.

5,629,104 2,814,552 1,407,276 703,638 351,819

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