λ
Math Directory

534,804

22 × 3 × 41 × 1087
Abundant Even Composite

534,804 factors as 2^2 × 3 × 41 × 1087. Its 24 positive divisors give a proper-divisor sum of 744,684, so this integer is abundant. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 1087
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,279,488
Proper Divisor Sum 744,684
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #534799 ← → #534811

Radix Representation

Decimal 534804
Binary 10000010100100010100 (20 bits)
Octal 0o2024424
Hexadecimal 0x82914

Divisor Catalog (24)

1 2 3 4 6 12 41 82 123 164 246 492 1,087 2,174 3,261 4,348 6,522 13,044 44,567 89,134 133,701 178,268 267,402 534,804

Collatz Trajectory (71 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

534,804 267,402 133,701 401,104 200,552 100,276 50,138 25,069 75,208 37,604 18,802 9,401 28,204 14,102 7,051 21,154 10,577 31,732 15,866 7,933 23,800 11,900 5,950 2,975 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17

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