4266
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 9600
- Proper Divisor Sum (Aliquot Sum)
- 5334
- 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
- 1404
- Möbius Function
- 0
- Radical
- 474
- 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
- 33
- 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 n-step spirals on hexagonal lattice.at n=13A006778
- Coordination sequence T3 for Zeolite Code AFO.at n=43A008017
- Conjectured number of irreducible multiple zeta values of depth 8 and weight 2n+22.at n=12A022496
- Kissing number of n-dimensional lattice Kappa_n.at n=17A028923
- T(n+2,2) with T as in A036355.at n=10A036681
- Numbers having, in base 16, (sum of even run lengths)=(sum of odd run lengths).at n=24A044887
- Numbers whose base-4 representation contains exactly two 0's and four 2's.at n=10A045051
- Multiples of 9 having only even digits.at n=29A061831
- Numbers k such that z(k) = j(k), where z(k) = sopf(k - d(k)), j(k) = d(sopf(k) + k), sopf(k) = A008472(k) and d(k) = A000005(k).at n=14A063961
- a(n) = n!^2 times coefficient of x^n in e^(x*(3-x)/2/(1-x))/(1-x)^(1/2).at n=4A073178
- a(n) is the number of essentially different ways in which the integers 1,2,3,...,n can be arranged in a sequence such that (1) adjacent integers sum to a prime number and (2) squares of adjacent numbers sum to a prime number. Rotations and reversals are counted only once.at n=52A074063
- Sum of n-th antidiagonal of array in A081998.at n=12A082001
- {Sum of all k-digit numbers > n }-{sum of all k-digit numbers < n}, n is a 'k'digit number.at n=26A109644
- Triangle read by rows: T(n,k) is the number of binary sequences of length n containing k subsequences 001 (n,k>=0).at n=48A118424
- Numbers n for which 12n+1, 12n+5, 12n+7 and 12n+11 are primes.at n=27A123985
- Number of labeled rooted trees on n nodes with thinning limbs.at n=5A124347
- Numbers m for which Sum_digits(m!) is a multiple of Sum_digits(m!!).at n=31A135206
- Twice octagonal numbers: 2*n*(3*n-2).at n=27A139267
- 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, 1, 0), (0, 0, 1), (0, 1, -1), (1, -1, 1)}.at n=9A148167
- 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, -1, 1), (-1, 1, 1), (0, 1, -1), (1, 0, 0)}.at n=9A148240