λ
Match Zalai

7,633,344

26 × 3 × 83 × 479
Abundant Even Composite

7,633,344 factors as 2^6 × 3 × 83 × 479. Its 56 positive divisors give a proper-divisor sum of 12,849,216, so this integer is abundant. The Collatz stopping time is 129 steps.

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Prime Factor Structure

Factorization String 2^6 × 3 × 83 × 479
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 20,482,560
Proper Divisor Sum 12,849,216
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7633337 ← → #7633349

Radix Representation

Decimal 7633344
Binary 11101000111100111000000 (23 bits)
Octal 0o35074700
Hexadecimal 0x7479C0

Divisor Catalog (5 of 56)

1 2 3 4 6

Collatz Trajectory (129 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.

7,633,344 3,816,672 1,908,336 954,168 477,084

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