3516
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8232
- Proper Divisor Sum (Aliquot Sum)
- 4716
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1168
- Möbius Function
- 0
- Radical
- 1758
- 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
- 149
- 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
- Centered pentagonal numbers: (5n^2+5n+2)/2; crystal ball sequence for 3.3.3.4.4. planar net.at n=37A005891
- Shifts left under lcm-convolution with itself.at n=9A007463
- Coordination sequence T3 for Zeolite Code EPI.at n=37A008092
- Coordination sequence T1 for Zeolite Code MAZ.at n=41A008144
- a(n) is nonsquarefree and is sum of first k nonsquarefrees for some k.at n=24A013935
- Numbers k such that the continued fraction for sqrt(k) has period 40.at n=25A020379
- Fibonacci sequence beginning 5, 12.at n=13A022137
- Decimal part of a(n)^(1/4) starts with reversal of its integer part: first term of runs.at n=6A034310
- Coefficients of completely replicable function 50a with a(0) = 1.at n=50A034320
- Number of different values of i^2 + j^2 + k^2 for i,j,k in [ 0,n ] (or [ -n,n ]).at n=43A034966
- Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 0 (mod 5).at n=47A035410
- Numbers k such that the string 1,6 occurs in the base 10 representation of k but not of k-1.at n=39A044348
- a(n) = T(2n-1,n) + T(2n,n+1) + ... + T(3n-3,2n-2) = sum over a period of n-th diagonal of array T given by A049828.at n=45A049833
- Discriminants of real quadratic number fields K with class number 2 such that the Hilbert class field of K is K(sqrt(3)).at n=24A052477
- McKay-Thompson series of class 50a for Monster.at n=50A058703
- Numbers k such that phi(x) = k has exactly 9 solutions.at n=23A060672
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 73 ).at n=16A063346
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 92 ).at n=23A063365
- Numbers k such that k+1, k^2+1 and k^4+1 are primes.at n=20A070325
- Expansion of (1-x)^(-1)/(1+x^2-2*x^3).at n=26A077887