4048
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 8928
- Proper Divisor Sum (Aliquot Sum)
- 4880
- 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
- 1760
- Möbius Function
- 0
- Radical
- 506
- Omega Function (Ω)
- 6
- 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
- 113
- 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
- Maximal number of regions obtained by joining n points around a circle by straight lines. Also number of regions in 4-space formed by n-1 hyperplanes.at n=18A000127
- Weight distribution of ternary [ 24,12,9 ] quadratic residue code (also of Pless symmetry code).at n=3A001382
- Generalized sum of divisors function.at n=43A002132
- Number of points on surface of truncated tetrahedron: a(n) = 14*n^2 + 2 for n > 0, a(0)=1.at n=17A005905
- Place n equally-spaced points around a circle and join every pair of points by a chord; this divides the circle into a(n) regions.at n=18A006533
- a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n.at n=44A006918
- a(n) = 2*binomial(n,3).at n=24A007290
- Coordination sequence T1 for Zeolite Code MAZ.at n=44A008144
- Convolution of Catalan numbers and powers of 2.at n=8A014318
- Multiplicity of K_3 in K_n.at n=48A014557
- Population of "Triangle" cellular automaton at n-th generation.at n=30A018189
- Theta series of A*_7 lattice. Expansion of F_8(q^2).at n=63A023919
- Theta series of A*_23 lattice.at n=63A023935
- Numbers that are the sum of 4 distinct nonzero squares in exactly 7 ways.at n=49A025382
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 17 ones.at n=2A031785
- Concatenation of n and n + 8 or {n,n+8}.at n=39A032613
- Base 3 digital convolution sequence.at n=17A033640
- Expansion of Product_{d | 48} theta_3(q^d).at n=45A033760
- Number of binary codes (not necessarily linear) of length n with 4 words.at n=12A034199
- Divide even numbers into groups with prime(n) elements and add together.at n=8A034959