11540
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 24276
- Proper Divisor Sum (Aliquot Sum)
- 12736
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4608
- Möbius Function
- 0
- Radical
- 5770
- 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
- 50
- 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
- Aliquot sequence starting at 180.at n=13A008891
- Convolution of A001950 with itself.at n=20A023667
- Number of rooted identity trees with n nodes and 5 leaves.at n=7A055330
- a(n) = number of primes of the form x^2 + 1 <= 2^n.at n=34A083847
- a(n) = S2(n,1), where S2(n, t) = Sum_{k=0..n} k^t *(Sum_{j=0..k} binomial(n,j))^2.at n=5A089664
- Numbers n such that the first n digits of sqrt(2) form a prime.at n=4A115377
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+577)^2 = y^2.at n=6A130005
- Number of primes of the form x^2 + 1 < 2^n.at n=34A174246
- Number of ways to place n nonattacking composite pieces queen + leaper[1,5] on an n X n chessboard.at n=13A189866
- Number of n X 2 0..3 arrays with every element neighboring horizontally or vertically both a 0 and a 1, and 2 introduced before 3 in row major order.at n=8A204295
- T(n,k)=Number of nXk 0..3 arrays with every element neighboring horizontally or vertically both a 0 and a 1, and 2 introduced before 3 in row major order.at n=46A204301
- Bihappy numbers: numbers that reach 1 under iteration of the sum-of-squares-of-two-digits map s_2.at n=40A257795
- G.f.: Sum_{n>=0} (n+1) * (x + x^n)^n.at n=82A325997
- Positions of -4's in A346242.at n=49A372564
- Indices where the cumulative sum of cos(2k+1)^(2k+1) reaches a record low value.at n=24A389560
- Numbers k such that A003415(k) == A276085(k) (mod 2310), where A003415 is the arithmetic derivative and A276085 is the primorial base log-function.at n=15A391864