16128
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 54
- Divisor Sum
- 53144
- Proper Divisor Sum (Aliquot Sum)
- 37016
- 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
- 42
- Omega Function (Ω)
- 11
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 115
- 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
- Order of the group SL(2,Z_n).at n=27A000056
- Expansion of (x-1)*(x^2-4*x-1)/(1-2*x)^2.at n=10A003232
- Theta series of E_8 lattice with respect to deep hole.at n=9A004017
- Embeddings of n-bouquet in sphere.at n=5A005431
- a(n) = 3*2^(2*n)*(3*n)!/((2*n)!*n!).at n=3A006587
- Theta series of {D_7}* lattice.at n=47A008423
- a(n) is the concatenation of n and 8n.at n=15A009470
- Triangle of coefficients in expansion of (2+3x)^n.at n=38A013620
- Number of noninvertible 2 X 2 matrices over Z/nZ (determinant is a divisor of 0).at n=10A020479
- Greatest number in row n of array T given by A027144.at n=11A027155
- T(n, 2*n-3), T given by A027960.at n=43A027965
- Theta series of 8-dimensional strongly 6-modular lattice O(6) with minimal norm 3.at n=34A029720
- Maximal value of d(x) (the number of divisors of x, A000005) if the binary order (see A029837) of x, the value g(x) = n.at n=46A036451
- Triangle whose (i,j)-th entry is binomial(i,j)*3^(i-j)*2^j.at n=42A038220
- Numbers whose base-4 representation contains exactly four 0's and three 3's.at n=14A045084
- Triangular array T read by rows: T(n,k)=P(2n+1,n,2k+1), where P(n,k,c)=number of vectors (x(1),x(2,),...,x(n)) of k 1's and n-k 0's such that x(i)=x(n+1-i) for exactly c values of i.at n=48A051289
- Triangular array T read by rows: T(n,k)=P(2n+3,n,2k+3), where P(n,k,c)=number of vectors (x(1),x(2,),...,x(n)) of k 1's and n-k 0's such that x(i)=x(n+1-i) for exactly c values of i.at n=38A051290
- Triangular array T read by rows: T(n,k)=P(2n+3,n,2k+3), where P(n,k,c)=number of vectors (x(1),x(2,),...,x(n)) of k 1's and n-k 0's such that x(i)=x(n+1-i) for exactly c values of i.at n=39A051290
- Order of group H_{1,n}.at n=6A051483
- Number of primitive (aperiodic) palindromes using a maximum of four different symbols.at n=13A056460