6388
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 11186
- Proper Divisor Sum (Aliquot Sum)
- 4798
- 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
- 3192
- Möbius Function
- 0
- Radical
- 3194
- Omega Function (Ω)
- 3
- 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
- 124
- 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) = floor( n*(n-1)*(n-2)/22 ).at n=53A011904
- Numbers k such that the continued fraction for sqrt(k) has period 90.at n=5A020429
- Fibonacci sequence beginning 0, 4.at n=17A022087
- a(n) = Sum_{k=0..floor(n/2)} T(n-k,k), T given by A026758.at n=17A026768
- Number of partitions in parts not of the form 7k, 7k+1 or 7k-1. Also number of partitions with no part of size 1 and differences between parts at distance 2 are greater than 1.at n=53A035937
- a(n) = Sum_{k=0,1,2,...,n-4,n-2,n-1} a(k); a(n-3) is not a summand, with a(0)=0, a(1)=1, a(2)=3.at n=15A049859
- Convolution of A000010 with itself.at n=47A065093
- Number of fixed points of mirroring operation on solid partitions.at n=17A096573
- Quotients associated with A097982.at n=5A098024
- Indices of primes in sequence defined by A(0) = 61, A(n) = 10*A(n-1) + 81 for n > 0.at n=21A101541
- Main diagonal of A101866.at n=41A101867
- a(n) = 22 + floor( Sum_{j=1..n-1} a(j)/2 ).at n=14A120146
- (1/8)*number of lattice points with odd indices in a cubic lattice inside a sphere around the origin with radius 2*n.at n=22A120884
- Series expansion for radius of gyration of osculating polygons on square lattice.at n=4A121766
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n having k LD's (n>=0; 0<=k<=floor((n-1)/2)).at n=22A128733
- Number of 2 X 2 singular integer matrices with entries from {2,...,n}.at n=40A134978
- Number of (directed) Hamiltonian paths in the n-ladder graph.at n=56A137882
- a(n) = p(n+1)^2 + 2*p(n) + 1; p(n) is the n-th prime number and n >= 1.at n=20A155819
- Let S be the sequence Fibonacci(2n), n>0 (cf. A001906); sequence lists the differences S(j)-S(i) for i<j.at n=38A169690
- Number of 0's in the top rows of all 2-compositions of n.at n=7A181331