λ
Sigma Notebook

539,824

24 × 33739
Deficient Even Composite

539,824 is even and not a perfect square. Its factorization is 2^4 × 33739 and its 10 divisors sum to 1,045,940.

Prime Factor Structure

Factorization String 2^4 × 33739
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 1,045,940
Proper Divisor Sum 506,116
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #539797 ← → #539837

Radix Representation

Decimal 539824
Binary 10000011110010110000 (20 bits)
Octal 0o2036260
Hexadecimal 0x83CB0

Divisor Catalog (10)

1 2 4 8 16 33,739 67,478 134,956 269,912 539,824

Collatz Trajectory (164 steps to reach 1)

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

539,824 269,912 134,956 67,478 33,739 101,218 50,609 151,828 75,914 37,957 113,872 56,936 28,468 14,234 7,117 21,352 10,676 5,338 2,669 8,008 4,004 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572

More profiles

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