4764
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 11144
- Proper Divisor Sum (Aliquot Sum)
- 6380
- 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
- 1584
- Möbius Function
- 0
- Radical
- 2382
- 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
- 51
- 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
- Numbers that are the sum of 11 positive 7th powers.at n=26A003378
- Hexagonal prism numbers: a(n) = (n + 1)*(3*n^2 + 3*n + 1).at n=11A005915
- Coordination sequence T7 for Zeolite Code NES.at n=44A008211
- a(n) = Sum_{k=1..n} k*floor( prime(k)/k ).at n=50A024927
- a(n) = (d(n)-r(n))/5, where d = A026060 and r is the periodic sequence with fundamental period (0,0,1,4,0).at n=43A026062
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 46.at n=15A031544
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 46.at n=2A031724
- Minimal consecutive determinant (negated) of n X n persymmetric matrix with entries {-1,0,+1}.at n=8A034919
- Maximal consecutive determinant of n X n persymmetric matrix with entries {-1,0,+1}.at n=8A034920
- a(n) = Sum_{i=0..floor(n/2)} T(2i,n-2i), array T as in A049747.at n=30A049750
- Nearest integer to (n+1)^3/9.at n=34A060999
- Integers n > 879 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 879.at n=22A063052
- z such that the Diophantine equation x^3+y^4=z^3 has solutions.at n=36A070741
- Positive integers i for which A112049(i) == 6.at n=30A112066
- a(n) = 4*(n^2 - n + 1).at n=34A112087
- A127790(n)/2.at n=12A127811
- Square array where T(n,k) = Sum_{j=0..k} C(n+2*j,j)*C(n+2*j,k-j), read by antidiagonals.at n=33A137634
- a(n) = Sum_{k=0..n} C(2k+2,k)*C(2k+2,n-k) ; equals row 2 of square array A137634 ; also equals the convolution of A137635 and the self-convolution of A073157.at n=5A137637
- Triangle T(n, k) = 2^(k-1) * E(n, k-1) where E(n,k) are the Eulerian numbers A173018, read by rows.at n=23A142075
- Coefficients of the derivatives of the Eulerian polynomials (with indexing as in A173018).at n=18A142706