5336
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 10800
- Proper Divisor Sum (Aliquot Sum)
- 5464
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2464
- Möbius Function
- 0
- Radical
- 1334
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 147
- 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) = 2 * Sum_{k=0..n-1} binomial(n-1, k)*binomial(n+k, k).at n=6A002003
- Coordination sequence T3 for Zeolite Code MEL.at n=47A008152
- Coordination sequence for 6-dimensional cubic lattice.at n=6A008414
- arctan(tanh(x)*sinh(x))=2/2!*x^2-4/4!*x^4-178/6!*x^6+5336/8!*x^8...at n=3A012693
- Twelve iterations of Reverse and Add are needed to reach a palindrome.at n=36A015993
- Coordination sequence for C_6 lattice.at n=3A019562
- Number of different words that can be formed from an n X n grid of letters, reading horizontally, vertically or diagonally.at n=11A034720
- Number of points of L1 norm 6 in cubic lattice Z^n.at n=6A035600
- Triangle of numbers a(n,k) = number of Young tableaux with n cells and k rows (1 <= k <= n); also number of self-inverse permutations on n letters in which the length of the longest scattered (i.e., not necessarily contiguous) increasing subsequence is k.at n=57A047884
- a(n) = Sum_{k=1..floor((n+1)/2)} T(n,2k-1), array T as in A049777.at n=30A049778
- House numbers: a(n) = (n+1)^3 + Sum_{i=1..n} i^2.at n=15A051662
- 23-gonal numbers: a(n) = n(21n-19)/2.at n=23A051875
- Rhombi (in 3 different orientations) in a rhombus with 60-degree acute angles.at n=22A052153
- a(n) = a(n-3) + a(n-5) with initial values 1,0,0,1,0.at n=56A052920
- Convolution of A055589 with A011782.at n=7A055852
- Numbers n such that x^n + x^11 + 2 is irreducible over GF(3).at n=13A058217
- The n-th n-gonal number: a(n) = n*(n^2 - 3*n + 4)/2.at n=23A060354
- Numbers which need 12 'Reverse and Add' steps to reach a palindrome.at n=36A065217
- Sums of terms of groups in A075621.at n=21A075625
- Numbers k such that the sum of primes dividing k (with repetition) / smallest prime dividing k = largest prime dividing k.at n=32A085702