λ
Match Zalai

9,777,222

2 × 32 × 7 × 13 × 47 × 127
Abundant Even Composite

9,777,222 factors as 2 × 3^2 × 7 × 13 × 47 × 127. Its 96 positive divisors give a proper-divisor sum of 17,059,770, so this integer is abundant. The Collatz stopping time is 114 steps.

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Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 13 × 47 × 127
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 26,836,992
Proper Divisor Sum 17,059,770
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9777221 ← → #9777223

Radix Representation

Decimal 9777222
Binary 100101010011000001000110 (24 bits)
Octal 0o45230106
Hexadecimal 0x953046

Divisor Catalog (5 of 96)

1 2 3 6 7

Collatz Trajectory (114 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.

9,777,222 4,888,611 14,665,834 7,332,917 21,998,752

More profiles

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