11504
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
- 10
- Divisor Sum
- 22320
- Proper Divisor Sum (Aliquot Sum)
- 10816
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5744
- Möbius Function
- 0
- Radical
- 1438
- Omega Function (Ω)
- 5
- 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
- 55
- 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
- Define the generalized Pisot sequence T(a(0),a(1)) by: a(n+2) is the greatest integer such that a(n+2)/a(n+1) < a(n+1)/a(n). This is T(8,16).at n=11A018922
- Numbers k such that 87*2^k+1 is prime.at n=28A032393
- Numbers n such that n | (sigma_5(n) - phi(n)^5).at n=20A055699
- McKay-Thompson series of class 26B for Monster.at n=29A058597
- Triangle of numbers arising in recursive computation of A002212.at n=37A073149
- a(n) = 16*(8*prime(n) + 7).at n=23A098823
- Numbers n such that p1=2n+3, p2=4n+5, p3=6n+7 and p4=8n+9 are all prime.at n=9A105653
- Expansion of 1/(1-2*x+x^5).at n=14A107066
- Expansion of q^(-1) * (chi(-q^13) / chi(-q))^2 in powers of q where chi() is a Ramanujan theta function.at n=29A128518
- Numbers k such that A119682(k) is prime.at n=41A136682
- a(n) is the largest number in the n-th row of triangle A140996.at n=15A141019
- List of different composites in Pascal-like triangles with index of asymmetry y = 3 and index of obliqueness z = 0 or z = 1.at n=27A141069
- Zero followed by partial sums of A059100, starting at n=1.at n=32A145068
- Expansion of 1/(1+14*x+72*x^2+384*x^3+512*x^4).at n=4A167602
- Triangle T(n, k) = c(n) - c(k) - c(n-k), where c(n) = Product_{j=0..n} Partitions(j), read by rows.at n=49A172971
- Triangle T(n, k) = c(n) - c(k) - c(n-k), where c(n) = Product_{j=0..n} Partitions(j), read by rows.at n=50A172971
- Expansion of 1/(1 - x - x^2 + x^5 - x^7).at n=22A204631
- Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,0,1,1,1,1,1 for x=0,1,2,3,4,5,6.at n=5A207160
- Number of 2 X 2 matrices M of positive integers such that permanent(M) < n.at n=45A212151
- Numbers equal to the Euler totient function of their arithmetic derivative: k = phi(k').at n=44A217715