6040
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
- 16
- Divisor Sum
- 13680
- Proper Divisor Sum (Aliquot Sum)
- 7640
- 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
- 2400
- Möbius Function
- 0
- Radical
- 1510
- Omega Function (Ω)
- 5
- 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
- 67
- 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
- Number of pairs of consecutive integers x, x+1 such that all prime factors of both x and x+1 are at most the n-th prime.at n=20A002071
- Coordination sequence T5 for Zeolite Code NON.at n=47A008216
- Coordination sequence for A_4 lattice.at n=8A008383
- a(1) = 3; a(n+1) = a(n)-th nonprime, where nonprimes begin at 1.at n=30A025004
- Denominators of continued fraction convergents to sqrt(57).at n=11A041099
- Denominators of continued fraction convergents to sqrt(513).at n=9A041981
- a(0)=1; a(1)=0; a(n) = 2*(n-1)*(a(n-1) + a(n-2)).at n=6A053871
- Triangle read by rows: T(n, k) = number of matchings of 2n people with partners (of either sex) such that exactly k couples are left together.at n=21A055140
- Triangle of increasing mobiles (circular rooted trees) with n nodes and k leaves.at n=31A055356
- Number of increasing mobiles (circular rooted trees) with n nodes and 4 leaves.at n=3A055358
- Number of edges in all simple (loopless) paths, connecting any node with all the remaining ones in optimal graphs of degree 4.at n=6A058227
- a(n) is the number of non-parallel lines determined by a pair of vertices (extreme points) in the polytope of real n X n doubly stochastic matrices. The vertices are the n! permutation matrices.at n=4A059615
- Numbers n such that the number of primes between n^2 and (n+1)^2 = the number of primes between n and Reverse(n) (inclusive).at n=17A074817
- Third row of Pascal-(1,2,1) array A081577.at n=11A081583
- Diagonal sums of number array A082046.at n=11A082047
- Row sums in A082259.at n=9A082261
- Number of polyominoes consisting of 6 regular unit n-gons.at n=13A103472
- Square array T(n,k) (n >= 1, k >= 0) read by antidiagonals: coordination sequence for root lattice A_n.at n=74A103881
- Numbers which when multiplied by any repunit prime Rp give a Smith number.at n=5A104167
- Sum of primes between n and n^2.at n=15A109818