5420
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 11424
- Proper Divisor Sum (Aliquot Sum)
- 6004
- 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
- 2160
- Möbius Function
- 0
- Radical
- 2710
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 116
- 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) = a(n-1) + a(n-1-(number of odd terms so far)).at n=31A007604
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite NAT = Natrolite Na16[Al16Si24O80].16H2O starting from a T2 atom.at n=12A019201
- Number of partitions satisfying cn(2,5) <= 1 and cn(3,5) <= 1.at n=37A039855
- Numerators of continued fraction convergents to sqrt(523).at n=7A042000
- Same rule as Aitken triangle (A011971) except a(0,0)=0, a(1,0)=1.at n=40A046936
- Coordination sequence T2 for Zeolite Code AEN.at n=46A047951
- Maximum number of regions into which the plane is divided by n triangles.at n=43A077588
- Triangle read by rows: T(n,k) is the number of Motzkin paths of length n and having k peaks at even height.at n=40A097892
- Row sums of number triangle A110180.at n=9A110181
- Maximum number of unit squares aligned with unit-spaced horizontal lines that can be enclosed by a circle of radius n.at n=42A124484
- Numbers k such that binomial(3k, k) + 1 is prime.at n=15A125221
- Partial sums of skinny numbers (A061909).at n=36A130596
- Triangle read by rows, X^n * [1,0,0,0,...]; where X = a tridiagonal matrix with (1,1,1,...) in the main and subsubdiagonals and (1,2,3,...) in the subdiagonal.at n=42A140734
- Numbers k such that A120292(k) is composite.at n=28A141779
- Lower triangular array, called S1hat(-5), related to partition number array A145372.at n=30A145373
- 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, 0), (-1, 0, 0), (-1, 1, -1), (1, 0, -1), (1, 0, 1)}.at n=8A149126
- 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), (0, 0, -1), (0, 1, -1), (0, 1, 1), (1, 0, 0)}.at n=7A150181
- Number of nondecreasing strings of numbers x(i=1..6) in -n..n with sum x(i)^3 equal to 0.at n=25A188280
- Number of arrays of 3 integers in -n..n with sum zero and adjacent elements differing in absolute value.at n=42A202963
- Principal diagonal of the convolution array A213828.at n=9A213829