λ
Matchaa Zalai

7,149,870

2 × 34 × 5 × 7 × 13 × 97
Abundant Even Composite

7,149,870 factors as 2 × 3^4 × 5 × 7 × 13 × 97. Its 160 positive divisors give a proper-divisor sum of 16,755,858, so this integer is abundant. The Collatz stopping time is 98 steps.

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Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 7 × 13 × 97
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 160
Divisor Sum (σ) 23,905,728
Proper Divisor Sum 16,755,858
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7149851 ← → #7149899

Radix Representation

Decimal 7149870
Binary 11011010001100100101110 (23 bits)
Octal 0o33214456
Hexadecimal 0x6D192E

Divisor Catalog (5 of 160)

1 2 3 5 6

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.

7,149,870 3,574,935 10,724,806 5,362,403 16,087,210

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