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Zalai Atlas

7,667,212

22 × 7 × 61 × 672
Abundant Even Composite

7,667,212 has the prime decomposition 2^2 × 7 × 61 × 67^2. Its 4 distinct prime factors produce 36 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 7 × 61 × 67^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 15,821,904
Proper Divisor Sum 8,154,692
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7667207 ← → #7667237

Radix Representation

Decimal 7667212
Binary 11101001111111000001100 (23 bits)
Octal 0o35177014
Hexadecimal 0x74FE0C

Divisor Catalog (5 of 36)

1 2 4 7 14

Collatz Trajectory (80 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.

7,667,212 3,833,606 1,916,803 5,750,410 2,875,205

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