11718
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 30720
- Proper Divisor Sum (Aliquot Sum)
- 19002
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3240
- Möbius Function
- 0
- Radical
- 1302
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 99
- 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
- Triangle T(n,k) read by rows, arising in enumeration of catafusenes.at n=50A024462
- a(n) = Sum_{j=0..i, i=0..n} T(i,j), where T is the array in A026374.at n=11A026384
- Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,0.at n=5A037599
- Numerators of continued fraction convergents to sqrt(326).at n=2A041614
- Numerators of continued fraction convergents to sqrt(502).at n=4A041958
- Numbers that are repdigits in base 5.at n=23A048330
- Sum of smallest parts (counted with multiplicity) of all partitions of n into odd parts.at n=41A092313
- Triangle T, read by rows, equal to the matrix cube of triangle A113106, which satisfies the recurrence: A113106(n,k) = [A113106^5](n-1,k-1) + [A113106^5](n-1,k).at n=26A113110
- <h[d+1,d-1],s[d,d]*s[d,d]*s[d,d]> where h[d+1,d-1] is a homogeneous symmetric function, s[d,d] is a Schur function indexed by two parts, * represents the Kronecker product and <, > is the standard scalar product on symmetric functions.at n=31A115376
- Multiples of 18 containing a 18 in their decimal representation.at n=25A121038
- Numbers whose base-5 representation is 333333.......3.at n=6A125833
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (0, 1, 1), (1, 0, -1)}.at n=10A148308
- Weight distribution of [63,39,9] primitive binary BCH code.at n=10A151771
- Coefficients of the second order mock theta function B(q).at n=33A153140
- Averages of twin prime pairs of A074378.at n=9A154563
- a(n) = 16*n^2 + 2*n.at n=26A158056
- Averages of twin prime pairs which are a sum of averages of two consecutive twin prime pairs.at n=27A160916
- Numbers that are repdigits with length > 2 in more than one base.at n=29A167783
- Shortest partition of n with maximal product, sorted descending & considered as a base-5 number.at n=18A178683
- Triangle T(n,k) with the coefficient [x^k] of 1/(1-2*x-x^2+x^3)^(n-k+1) in row n, column k.at n=60A188106