11316
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 28224
- Proper Divisor Sum (Aliquot Sum)
- 16908
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3520
- Möbius Function
- 0
- Radical
- 5658
- Omega Function (Ω)
- 5
- 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
- a(n) = (3*n - 1)*(4*n - 1).at n=31A033578
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 97 ).at n=29A063370
- Number of partitions of n into Lucas parts (A000032).at n=58A067593
- Number of basis partitions of n+100 with Durfee square size 10.at n=22A069253
- Least positive k such that (10^n+1)^n + k is prime.at n=50A121521
- Number of 4-step one space leftwards or up, two space rightwards or down asymmetric rook's tours on an n X n board summed over all starting positions.at n=15A187299
- 41 times triangular numbers.at n=23A195038
- n - (sum of prime factors of n^2+1) is a positive square.at n=33A216896
- Numbers m for which Sum_{i=1..k} (p(i)/(p(i)-1)) + Product_{i=1..k} (p(i)/(p(i)-1)) is an integer, where p(i) are the k prime factors of m (with multiplicity).at n=46A224912
- Number of n X 2 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=19A241301
- Number of partitions of n such that the number of parts having multiplicity >1 is a part and the number of distinct parts is a part.at n=41A241409
- a(n) = n*(n + 5)*(n + 10)/6.at n=36A264443
- Indices of zeros in A269783.at n=42A269967
- Number of distinguishable configurations of the nearest larger value problem on an array of size n, using tiebreaking rule II: ties are broken by using the smaller value.at n=10A293347
- Triangle read by rows: T(n,k) = number of chiral pairs of color patterns (set partitions) in a row of length n using exactly k colors (subsets).at n=50A320525
- Number of chiral pairs of color patterns (set partitions) in a row of length n using exactly 6 colors (subsets).at n=9A320529
- Positions of -2's in A346242.at n=36A354822
- Coefficient of x^n in the expansion of ( (1-x+x^4) / (1-x) )^n.at n=16A387345