λ
Ratio Atlas

7,465,720

23 × 5 × 17 × 10979
Abundant Even Composite

7,465,720 factors as 2^3 × 5 × 17 × 10979. Its 32 positive divisors give a proper-divisor sum of 10,321,880, so this integer is abundant. The Collatz stopping time is 235 steps.

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Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 10979
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,787,600
Proper Divisor Sum 10,321,880
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7465697 ← → #7465723

Radix Representation

Decimal 7465720
Binary 11100011110101011111000 (23 bits)
Octal 0o34365370
Hexadecimal 0x71EAF8

Divisor Catalog (5 of 32)

1 2 4 5 8

Collatz Trajectory (235 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.

7,465,720 3,732,860 1,866,430 933,215 2,799,646

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