506
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 864
- Proper Divisor Sum (Aliquot Sum)
- 358
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 220
- Möbius Function
- -1
- Radical
- 506
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- yes
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 110
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- fünfhundertsechs· ordinal: fünfhundertsechsste
- English
- five hundred six· ordinal: five hundred sixth
- Spanish
- quinientos seis· ordinal: 506º
- French
- cinq cent six· ordinal: cinq cent sixième
- Italian
- cinquecentosei· ordinal: 506º
- Latin
- quingenti sex· ordinal: 506.
- Portuguese
- quinhentos e seis· ordinal: 506º
Appears in sequences
- Number of partitions into non-integral powers.at n=9A000158
- Square pyramidal numbers: a(n) = 0^2 + 1^2 + 2^2 + ... + n^2 = n*(n+1)*(2*n+1)/6.at n=11A000330
- Numbers k such that sum of squares of k consecutive integers >= 1 is a square.at n=55A001032
- Leech triangle: k-th number (0 <= k <= n) in n-th row (0 <= n) is number of octads in S(5,8,24) containing k given points and missing n-k given points.at n=1A001293
- Partial sums of A001462; also a(n) is the last occurrence of n in A001462.at n=55A001463
- a(n) = (3*n+1)*(3*n+2).at n=7A001504
- Numbers dividing A002037(i) and larger than A002037(i-1), for some i>0.at n=45A002038
- Shuffling 2n cards.at n=34A002139
- Weight distribution of [ 23,12,7 ] binary perfect Golay code.at n=15A002289
- Weight distribution of [ 23,12,7 ] binary perfect Golay code.at n=8A002289
- Number of dissections of a polygon: binomial(6n,n)/(5n+1).at n=4A002295
- Oblong (or promic, pronic, or heteromecic) numbers: a(n) = n*(n+1).at n=22A002378
- a(n) = n*phi(n).at n=22A002618
- Quarter-squares: a(n) = floor(n/2)*ceiling(n/2). Equivalently, a(n) = floor(n^2/4).at n=45A002620
- a(n) = 2*n*(2*n+1).at n=11A002943
- Number of trees with stability index n.at n=7A003429
- Primes written in base 7.at n=53A004681
- Hoggatt sequence with parameter d=6.at n=4A005364
- Number of Twopins positions.at n=13A005687
- Molien series for 6-dimensional complex representation of double cover of J2.at n=62A005813