6004
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 11200
- Proper Divisor Sum (Aliquot Sum)
- 5196
- 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
- 2808
- Möbius Function
- 0
- Radical
- 3002
- 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
- 49
- 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
- a(n) = (5*n+1)*(5*n+4).at n=15A001545
- Related to Gilbreath conjecture.at n=28A001549
- Truncated square numbers: 7*n^2 + 4*n + 1.at n=29A005892
- Coordination sequence for MgNi2, Position Mg1.at n=19A009936
- sec(sin(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+91/4!*x^4-470/5!*x^5...at n=6A012897
- Numbers k such that the continued fraction for sqrt(k) has period 52.at n=33A020391
- Numbers having four 4's in base 6.at n=7A043388
- Rhombi (in 3 different orientations) in a rhombus with 60-degree acute angles.at n=23A052153
- a(n) = T(n,n-4), array T as in A055801.at n=38A055804
- Sequences of B-trees of order 3 with n labeled leaves.at n=13A058520
- Engel expansion of 1/e = 0.367879... .at n=38A059193
- Index of smallest Fibonacci number beginning with the n-th Fibonacci number other than itself.at n=17A072520
- a(n) = (prime(n)+1)*(prime(n+1)+1)/4.at n=35A079079
- Subdiagonal of array of n-gonal numbers A081422.at n=18A081423
- a(n) = (3*n+1)*(3*n+4).at n=25A085001
- Maximal number of segments (equivalently, corners) in a rook circuit of a 2n X 2n board.at n=39A085622
- Numbers k such that k + (largest digit of k)! is a square.at n=38A095927
- Number of partitions of 2n free of multiples of 5. All odd parts occur with multiplicity 2 or 4. the even parts occur at most twice.at n=30A103257
- 3-Smith numbers.at n=20A104391
- Number of steps until the RADD sequence T(k+1) = n + R(T(k)), T(0) = 1, enters a cycle; -1 if no cycle is ever reached. (R=A004086: reverse digits).at n=97A117816