λ
Sigma Notebook

506,393

506393
Deficient Odd Prime

506,393 is odd and not a perfect square. Its factorization is 506393 and its 2 divisors sum to 506,394.

Prime Factor Structure

Factorization String 506393
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 506,394
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #506381 ← → #506417

Radix Representation

Decimal 506393
Binary 1111011101000011001 (19 bits)
Octal 0o1735031
Hexadecimal 0x7BA19

Divisor Catalog (2)

Collatz Trajectory (81 steps to reach 1)

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

506,393 1,519,180 759,590 379,795 1,139,386 569,693 1,709,080 854,540 427,270 213,635 640,906 320,453 961,360 480,680 240,340 120,170 60,085 180,256 90,128 45,064 22,532 11,266 5,633 16,900 8,450 4,225 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220

More profiles

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