λ
Math Directory

7,347,256

23 × 72 × 18743
Abundant Even Composite

7,347,256 factors as 2^3 × 7^2 × 18743. Its 24 positive divisors give a proper-divisor sum of 8,678,864, so this integer is abundant. The Collatz stopping time is 98 steps.

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Prime Factor Structure

Factorization String 2^3 × 7^2 × 18743
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,026,120
Proper Divisor Sum 8,678,864
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7347253 ← → #7347259

Radix Representation

Decimal 7347256
Binary 11100000001110000111000 (23 bits)
Octal 0o34016070
Hexadecimal 0x701C38

Divisor Catalog (5 of 24)

1 2 4 7 8

Collatz Trajectory (98 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.

7,347,256 3,673,628 1,836,814 918,407 2,755,222

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