2193
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3168
- Proper Divisor Sum (Aliquot Sum)
- 975
- 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
- 1344
- Möbius Function
- -1
- Radical
- 2193
- Omega Function (Ω)
- 3
- 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
- 138
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- a(n) = n^3 - floor( n/3 ).at n=13A002901
- Numbers that are the sum of 9 positive 6th powers.at n=27A003365
- Numbers that are the sum of 7 positive 7th powers.at n=8A003374
- G.f.: (1 + x^4 + x^7 + 2*x^8 + x^9 + x^12 + x^16)/Product_{i=1..8} (1 - x^i).at n=24A003405
- Numbers that are the sum of at most 7 positive 7th powers.at n=42A004869
- Numbers that are the sum of at most 8 positive 7th powers.at n=51A004870
- a(n+1) = (1 + a(0)^4 + ... + a(n)^4 )/(n+1) (not always integral!).at n=3A005167
- Coordination sequence T1 for Zeolite Code LTA and RHO.at n=37A008137
- Coordination sequence T3 for Zeolite Code -CHI.at n=30A009848
- Coefficients in expansion of e as Sum_{n>=1} a(n)/(n*n!*(n+1)!), as found by greedy algorithm.at n=48A011189
- a(n) = floor( n*(n-1)*(n-2)/8 ).at n=27A011890
- a(n) = floor( n*(n-1)*(n-2)/25 ).at n=39A011907
- Pseudoprimes to base 44.at n=25A020172
- Related to number of irreducible stick-cutting problems.at n=16A022541
- Ordered sequence of distinct terms of the form floor(exp(i) * floor(exp(j))), i,j >= 0.at n=28A022765
- Ternary expansion uses each positive digit just once.at n=43A023741
- a(n) = n*(n+8).at n=43A028566
- n^3*a(n) is the number of circles in complex projective plane tangent to three smooth curves of degree n in general position.at n=11A030653
- a(n) = n-th prime number * n-th lucky number.at n=13A032601
- Number of different words that can be formed from an n X n grid of letters, reading horizontally, vertically or diagonally.at n=8A034720