11048
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 20730
- Proper Divisor Sum (Aliquot Sum)
- 9682
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5520
- Möbius Function
- 0
- Radical
- 2762
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- 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
- Number of 5 X n binary matrices with 3 unit columns up to row and column permutations.at n=4A057972
- A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the ratios of three complementary pairs of simple musical tones: 7/6 and 12/7, 6/5 and 5/3 and 7/5 and 10/7.at n=28A060529
- Expansion of 1/(1 - 2*x - 2*x^2 - 2*x^3).at n=9A077835
- Duplicate of A077835.at n=9A077935
- G.f.: (1-9*x+29*x^2-30*x^3+10*x^4-x^5-(1-6*x+x^2)^(1/2)*(1-6*x+13*x^2-7*x^3+x^4))/(2*x).at n=8A078487
- Square root of a(n) contains the n-th Fibonacci number as a string of digits to the immediate right of the decimal point (excluding leading zeros).at n=20A099401
- Low point in segment n of A079051.at n=40A117518
- a(1)=1, a(n)=a(n-1)+n^2 if n odd, a(n)=a(n-1)+ n^3 if n is even.at n=15A140149
- A156977/3.at n=2A164565
- Triangle of numerators T(n,k) in the matrix {T(n,k)/(n-k)!,n>=k>=0} that transforms diagonals of the array (A174480) of coefficients in successive iterations of x*exp(x).at n=16A174485
- Column 1 of triangle A174485.at n=4A174487
- Numbers n with property that there is a different number m such that the lunar squares n*n and m*m are the same.at n=34A181319
- Number of nXnXn triangular 0..3 arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and no element equal to its horizontal neighbors.at n=3A214379
- T(n,k)=Number of nXnXn triangular 0..k arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and no element equal to its horizontal neighbors.at n=18A214384
- Number of 4X4X4 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and no element equal to its horizontal neighbors.at n=2A214386
- Integer lengths of the n-th Copeland-Erdős prime (concatenation of the first n entries (digits) of A033308 is prime).at n=10A227530
- T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any west or southwest neighbors modulo n and the upper left element equal to 0.at n=48A267562
- Number of nX(n+3) arrays of permutations of n+3 copies of 0..n-1 with every element equal to or 1 greater than any west or southwest neighbors modulo n and the upper left element equal to 0.at n=3A267566
- Number of 4Xn arrays containing n copies of 0..4-1 with every element equal to or 1 greater than any west or southwest neighbors modulo 4 and the upper left element equal to 0.at n=6A267568
- Numbers k for which 4^k - 27 is prime.at n=21A274519