4829
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5280
- Proper Divisor Sum (Aliquot Sum)
- 451
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4380
- Möbius Function
- 1
- Radical
- 4829
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 72
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record.at n=35A000092
- Numbers that are the sum of 6 positive 6th powers.at n=34A003362
- a(n) = floor(n*phi^12), where phi is the golden ratio, A001622.at n=15A004927
- Denominators of continued fraction convergents to sqrt(306).at n=4A041577
- Numbers having three 5's in base 9.at n=29A043475
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 12.at n=23A050961
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 67 ).at n=26A063340
- Semiprimes p1*p2 such that p2 mod p1 = 10, with p2 > p1.at n=27A064908
- (p^2-5)/4 for odd primes p.at n=32A074367
- A Wallis pair (x,y) satisfies sigma(x^2) = sigma(y^2); sequence gives y's for indecomposable Wallis pairs with x < y (ordered by values of x).at n=15A075769
- a(n) = 4*n^2 + 6*n + 1.at n=34A082108
- Indices k where A057176(k) = 4.at n=17A086838
- Index of first occurrence of n-th prime in A001203, the continued fraction for Pi.at n=23A107892
- Triangle T(n, k) = binomial(n, k)^2 - binomial(n, k) - 1, read by rows.at n=40A144403
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 0), (0, -1, 1), (1, 1, -1), (1, 1, 1)}.at n=7A149623
- a(n) = 3*A022004(n) + 8.at n=21A163635
- Number of "ON" cells at n-th stage in simple 2-dimensional cellular automaton (see Comments for precise definition).at n=47A173456
- 1/8 the number of 2 X 2 -n..n arrays with a 2 X 2 -n..n inverse, i.e., with determinant +-1.at n=43A206258
- Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths starting at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 5, n >= 2.at n=34A214023
- Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths starting at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 7, n >= 2.at n=24A214037