16456
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 35910
- Proper Divisor Sum (Aliquot Sum)
- 19454
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7040
- Möbius Function
- 0
- Radical
- 374
- Omega Function (Ω)
- 6
- 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
- 115
- 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) = (n^4 + n^2 + 2*n)/4.at n=16A006528
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 11 (most significant digit on left).at n=41A029456
- Number of 2-colorings of an n X n grid, up to rotational symmetry.at n=4A047937
- Number of n X n (0,1)-matrices modulo cyclic permutations of the rows.at n=4A086675
- Integers n such that 2*10^n + 81 is a prime number.at n=15A110920
- Concerning the popular MMORPG "Runescape" by JAGeX corporation, this sequence gives the number of experience points needed for a given level in a skill.at n=31A111078
- Partial sums of A003325.at n=41A139211
- Number of distinct lines passing through 3 or more points in an n X n grid.at n=25A225606
- Numbers k such that prime(k) + {1,2,3,4,5,6} are all products of three primes.at n=2A255194
- Numbers n such that prime(n) + {1, 2, 3, 4, 5, 6} are all products of the same number of primes (not necessarily all distinct).at n=2A255202
- 26-gonal pyramidal numbers: a(n) = n*(n+1)*(8*n-7)/2.at n=16A256646
- G.f. C(x) satisfies: C(x) = 1 + 2*x*A(x)*B(x) where A(x) = B(x)*C(x) and B(x) = 1 + x*A(x)*C(x).at n=6A258315
- Number of inequivalent 4 X 4 matrices with entries in {1,2,3,...,n} up to rotations.at n=2A283027
- p-INVERT of (0,1,0,1,0,1,...), where p(S) = 1 - S^2 - S^3.at n=17A291222
- a(n) = 34*n^2.at n=22A303302
- a(n) is the number of length-n palindromic ballot sequences.at n=24A338417
- Triangle read by rows: T(n,k) is the number of rooted planar maps with n edges, k faces and no isthmuses, n >= 0, k = 1..n+1.at n=40A342981
- Array read by antidiagonals: T(n,k) is the number of k-colorings of an n X n grid, up to rotational symmetry.at n=25A343095
- The number of ways of tiling the n X n grid up to 90-degree rotation by a tile that is fixed under 180-degree rotation but not 90-degree rotation.at n=3A367531
- Table read by downward antidiagonals: T(n,k) is the number of tilings of the n X k cylinder by two distinct tiles.at n=24A368264