λ
Match Zalai

2,990,106

2 × 32 × 7 × 19 × 1249
Abundant Even Composite

2,990,106 factors as 2 × 3^2 × 7 × 19 × 1249. Its 48 positive divisors give a proper-divisor sum of 4,809,894, so this integer is abundant. The Collatz stopping time is 89 steps.

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Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 19 × 1249
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,800,000
Proper Divisor Sum 4,809,894
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2990083 ← → #2990123

Radix Representation

Decimal 2990106
Binary 1011011010000000011010 (22 bits)
Octal 0o13320032
Hexadecimal 0x2DA01A

Divisor Catalog (5 of 48)

1 2 3 6 7

Collatz Trajectory (89 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.

2,990,106 1,495,053 4,485,160 2,242,580 1,121,290

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