λ
Match Zalai

7,773,672

23 × 3 × 323903
Abundant Even Composite

7,773,672 factors as 2^3 × 3 × 323903. Its 16 positive divisors give a proper-divisor sum of 11,660,568, so this integer is abundant. The Collatz stopping time is 217 steps.

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Prime Factor Structure

Factorization String 2^3 × 3 × 323903
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 19,434,240
Proper Divisor Sum 11,660,568
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7773617 ← → #7773673

Radix Representation

Decimal 7773672
Binary 11101101001110111101000 (23 bits)
Octal 0o35516750
Hexadecimal 0x769DE8

Divisor Catalog (5 of 16)

1 2 3 4 6

Collatz Trajectory (217 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.

7,773,672 3,886,836 1,943,418 971,709 2,915,128

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