11493
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
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 16614
- Proper Divisor Sum (Aliquot Sum)
- 5121
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7656
- Möbius Function
- 0
- Radical
- 3831
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 174
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(n(n+2)(2n+1)/8).at n=35A002717
- E-trees with exactly 2 colors.at n=8A007143
- Numbers k such that the continued fraction for sqrt(k) has period 88.at n=29A020427
- Denominators of continued fraction convergents to sqrt(590).at n=6A042131
- Sum of antidiagonals of A060736.at n=27A061349
- a(n) = (2*n - 1)*(7*n^2 - 7*n + 3)/3.at n=13A063494
- One half of the number of non-self-conjugate balanced partitions.at n=55A067772
- Expansion of (1+x^2)/((1-x)^2*(1-x^2)^2*(1-x^3)^2*(1-x^8)*(1-x^9)*(1-x^10)).at n=23A069956
- a(n) = (4*n^3 + 11*n^2 + 9*n + 2)/2.at n=17A135712
- Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 1000-1111-0100-0100 pattern in any orientation.at n=11A146826
- 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, 0), (-1, 1, -1), (0, 0, -1), (1, 0, -1), (1, 0, 1)}.at n=9A149087
- a(n) = 338*n + 1.at n=33A158000
- a(n) = 676*n + 1.at n=16A158386
- a(n) = 68*n^2 + 1.at n=13A158732
- Number of permutations of 1..n with displacements restricted to {-7,-6,-5,-4,-3,-1,0,2}.at n=13A189601
- Number of (w,x,y) with all terms in {0,...,n} and w>=range{w,x,y}.at n=26A212968
- Numbers with 3 or more prime factors (with multiplicity) such that every concatenation of their prime factors is prime.at n=13A217264
- Number of partitions p of n such that median(p) > mean(p).at n=47A240220
- Row 5 of A277710: Positions of 5's in A264977; positions of 10's in A277330.at n=30A277715
- Numbers k such that (2*10^k + 529)/9 is prime.at n=21A281734