6493
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
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6688
- Proper Divisor Sum (Aliquot Sum)
- 195
- 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
- 6300
- Möbius Function
- 1
- Radical
- 6493
- Omega Function (Ω)
- 2
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 137
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that (1,k) is "good".at n=37A000696
- Numbers that are the sum of 3 positive 5th powers.at n=32A003348
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 48 ones.at n=14A031816
- Multiplicity of highest weight (or singular) vectors associated with character chi_177 of Monster module.at n=38A034565
- Numerators of continued fraction convergents to sqrt(811).at n=5A042564
- Antidiagonal sums of square array A082011 divided by the number of the antidiagonal.at n=40A082015
- Least multiple of n == -1 (mod prime(n)).at n=42A090939
- Products of two primes that are not Chen primes.at n=14A115719
- Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 11101-10111 pattern in any orientation.at n=12A147492
- Numbers n such that sum of the cubes of the digits of n^3 is a perfect cube.at n=37A164882
- Integers whose binary digits "1" define, if sorted into a quadrant shape whose right angle lies in a Go board corner, same colored Go stones that surely live all, but not if any stone is omitted.at n=7A166537
- Parameters k for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3+k has order 16.at n=7A179130
- a(n) is the least value of k such that the decimal expansion of Fibonacci(k) contains n consecutive identical digits.at n=7A217165
- Number of partitions of n such that the number of parts having multiplicity 1 is a part or the number of distinct parts is a part.at n=32A241446
- Numbers k such that the smallest k-digit odd number concatenated with the largest k-digit odd number is prime.at n=5A247182
- Start with a square; at each stage add a square at each expandable vertex so that the ratio of the side of the squares at stage n+1 and at stage n is the golden ratio phi=0.618...; a(n) is the number of squares at n-th stage.at n=9A269962
- The maximum number of coins that can be processed in n weighings that all are real except for one LHR-coin starting in the heavy or real state.at n=10A279684
- Least sum s of three consecutive primes such that s is a multiple of the n-th prime.at n=35A289361
- Coordination sequence for 3D uniform tiling formed by stacking parallel layers of the 4.6.12 2D tiling (cf. A072154).at n=52A299258
- Number of points on or inside the circle of radius n, as rasterized by the midpoint circle algorithm.at n=45A341198