6736
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 13082
- Proper Divisor Sum (Aliquot Sum)
- 6346
- 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
- 3360
- Möbius Function
- 0
- Radical
- 842
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 44
- 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 partitions of 2*n into at most 4 parts.at n=47A014126
- Numbers k such that the continued fraction for sqrt(k) has period 66.at n=29A020405
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = floor(n/2), s = (natural numbers >= 3), t = (Fibonacci numbers).at n=13A024315
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers >= 3), t = (F(2), F(3), F(4), ...).at n=12A024878
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 5 (most significant digit on right).at n=8A029498
- Number of partitions of n with equal number of even and odd parts.at n=46A045931
- Numbers k for which phi(prime(k)) is a square.at n=43A062325
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 77 ).at n=30A063350
- Numbers n such that n and 2^n end with the same three digits.at n=6A067866
- Binomial transform of A073145.at n=11A073498
- Number of configurations of the sliding block 8-puzzle that require a minimum of n moves to be reached, starting with the empty square in the center.at n=17A089474
- Expansion of 1 / (chi(-x) * chi(-x^7)) in powers of x where chi() is a Ramanujan theta function.at n=50A093950
- a(n) = sum of terms of {a(1),a(2),a(3),...a(n-1)} which are coprime to n.at n=26A096217
- Numbers n such that p(2n) is prime, where p(n) is the number of partitions of n.at n=45A114165
- Non-cubefree numbers k such that 2k+1 is also non-cubefree (A046099).at n=49A115170
- Triangular array read by rows: T(n,1) = T(n,n) = 1, T(n,k) = 4*T(n-1, k-1) + 2*T(n-1, k).at n=38A119726
- Expansion of phi(q)^2*psi(q)^4 in powers of q where phi(),psi() are Ramanujan theta functions.at n=43A122854
- Number of base 14 n-digit numbers with adjacent digits differing by two or less.at n=5A126401
- Row sums of A163233 and A163235 divided by 3.at n=32A163478
- a(n) = 12*n^3 + 9*n^2 + 2*n.at n=8A191745