1036
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 2128
- Proper Divisor Sum (Aliquot Sum)
- 1092
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 432
- Möbius Function
- 0
- Radical
- 518
- Omega Function (Ω)
- 4
- 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
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 124
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
Appears in sequences
- Central polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts.at n=45A000124
- Number of cells of square lattice of edge 1/n inside quadrant of unit circle centered at 0.at n=36A001182
- Expansion of 1/((1+x)*(1-x)^5).at n=12A001752
- a(n) = A188491(n+1) - A188494(n) - A002526(n).at n=8A002528
- Numbers that are the sum of 6 positive 5th powers.at n=25A003351
- Numbers that are a sum of distinct positive cubes in more than one way.at n=40A003998
- Number of nonseparable planar tree-rooted maps with n edges.at n=6A004304
- a(n) = n*(n + 1)*(2*n^2 + 2*n - 1)/6.at n=6A006324
- a(n) = Sum_{k=1..n-1} lcm(k,n-k).at n=21A006580
- Let S denote the palindromes in the language {0,1}*; a(n) = number of words of length n in the language SS.at n=12A007055
- Optimal cost of search tree for searching an ordered array of n elements with cost k of probing element k.at n=22A007077
- Number of triangles with integer sides and area = n times perimeter.at n=29A007237
- Coordination sequence T3 for Zeolite Code FER.at n=20A008108
- Coordination sequence T1 for Zeolite Code MEP.at n=19A008157
- Coordination sequence T1 for Cordierite.at n=19A008251
- If x and y are terms, so is x*y + 9.at n=12A009350
- Coordination sequence T1 for Zeolite Code RSN.at n=21A009885
- Coordination sequence T5 for Zeolite Code RSN.at n=21A009889
- arcsin(log(x+1)-sin(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+23/5!*x^5...at n=7A013211
- Expansion of e.g.f. sinh(log(x+1) - sin(x)).at n=7A013215