λ
Match Zalai

798,592

27 × 17 × 367
Abundant Even Composite

798,592 factors as 2^7 × 17 × 367. Its 32 positive divisors give a proper-divisor sum of 890,528, so this integer is abundant. The Collatz stopping time is 56 steps.

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Prime Factor Structure

Factorization String 2^7 × 17 × 367
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,689,120
Proper Divisor Sum 890,528
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #798569 ← → #798599

Radix Representation

Decimal 798592
Binary 11000010111110000000 (20 bits)
Octal 0o3027600
Hexadecimal 0xC2F80

Divisor Catalog (5 of 32)

1 2 4 8 16

Collatz Trajectory (56 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.

798,592 399,296 199,648 99,824 49,912

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