λ
Math Directory

2,973,960

23 × 32 × 5 × 11 × 751
Abundant Even Composite

2,973,960 factors as 2^3 × 3^2 × 5 × 11 × 751. Its 96 positive divisors give a proper-divisor sum of 7,584,120, so this integer is abundant. The Collatz stopping time is 94 steps.

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Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 11 × 751
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 10,558,080
Proper Divisor Sum 7,584,120
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2973953 ← → #2973961

Radix Representation

Decimal 2973960
Binary 1011010110000100001000 (22 bits)
Octal 0o13260410
Hexadecimal 0x2D6108

Divisor Catalog (5 of 96)

1 2 3 4 5

Collatz Trajectory (94 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.

2,973,960 1,486,980 743,490 371,745 1,115,236

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