11040
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 36288
- Proper Divisor Sum (Aliquot Sum)
- 25248
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2816
- Möbius Function
- 0
- Radical
- 690
- Omega Function (Ω)
- 8
- 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
- 130
- 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
- Values of phi(k) when phi(k) = phi(k+1).at n=21A003275
- Number of 2-factors in O_5 X P_n.at n=2A003742
- Theta series of D_5 lattice.at n=39A005930
- Conflicts during insertions into exchange trees on n nodes.at n=7A007905
- a(n) = n*(n + 1)*(3*n + 1).at n=15A027903
- Average theta series of odd unimodular lattices of dimension 9 (multiplied by 17).at n=3A029811
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 14.at n=14A031692
- E.g.f. (1-x)^2/(1-3x+x^3).at n=5A052620
- a(n) = ((7*n+9)(!^7))/9(!^7), related to A034829 (((7*n+2)(!^7))/2 sept-, or 7-factorials).at n=3A053105
- Numbers k such that sigma(x) = k has exactly 8 solutions.at n=25A060664
- One-sixtieth of the even leg of Pythagorean triangles whose other sides are both primes (other than 3, 5 or 13).at n=36A068485
- Smallest multiple of n with a prime signature different from all previous terms.at n=45A069875
- Sum of the reverses of the first n primes.at n=43A071602
- First differences of triangular numbers with square pyramidal indices.at n=7A077538
- Sum of primes between successive pairs of twin primes.at n=45A078731
- Indices of primes of the form k^2 - 11.at n=44A091273
- Lee weight enumerator of a certain code over GF(4).at n=6A105921
- Difference between n-th prime squared and n-th perfect square.at n=28A106588
- a(n) = n*(n+13)*(n+14)/6.at n=32A111144
- a(n) = Sum{k=1..n} Fibonacci(floor(n/k)).at n=20A119737