λ
Matchaa Zalai

7,527,450

2 × 3 × 52 × 7 × 67 × 107
Abundant Even Composite

7,527,450 factors as 2 × 3 × 5^2 × 7 × 67 × 107. Its 96 positive divisors give a proper-divisor sum of 14,328,294, so this integer is abundant. The Collatz stopping time is 155 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7 × 67 × 107
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 21,855,744
Proper Divisor Sum 14,328,294
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7527449 ← → #7527467

Radix Representation

Decimal 7527450
Binary 11100101101110000011010 (23 bits)
Octal 0o34556032
Hexadecimal 0x72DC1A

Divisor Catalog (5 of 96)

1 2 3 5 6

Collatz Trajectory (155 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.

7,527,450 3,763,725 11,291,176 5,645,588 2,822,794

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