λ
Ratio Atlas

7,553,448

23 × 32 × 72 × 2141
Abundant Even Composite

7,553,448 factors as 2^3 × 3^2 × 7^2 × 2141. Its 72 positive divisors give a proper-divisor sum of 16,254,882, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7^2 × 2141
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 23,808,330
Proper Divisor Sum 16,254,882
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7553437 ← → #7553449

Radix Representation

Decimal 7553448
Binary 11100110100000110101000 (23 bits)
Octal 0o34640650
Hexadecimal 0x7341A8

Divisor Catalog (60 of 72)

Collatz Trajectory (142 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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