λ
Matchaa Zalai

3,623,256

23 × 32 × 72 × 13 × 79
Abundant Even Composite

3,623,256 factors as 2^3 × 3^2 × 7^2 × 13 × 79. Its 144 positive divisors give a proper-divisor sum of 8,825,544, so this integer is abundant. The Collatz stopping time is 97 steps.

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Prime Factor Structure

Factorization String 2^3 × 3^2 × 7^2 × 13 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 12,448,800
Proper Divisor Sum 8,825,544
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3623251 ← → #3623267

Radix Representation

Decimal 3623256
Binary 1101110100100101011000 (22 bits)
Octal 0o15644530
Hexadecimal 0x374958

Divisor Catalog (5 of 144)

1 2 3 4 6

Collatz Trajectory (97 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.

3,623,256 1,811,628 905,814 452,907 1,358,722

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