2673
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 4368
- Proper Divisor Sum (Aliquot Sum)
- 1695
- 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
- 1620
- Möbius Function
- 0
- Radical
- 33
- Omega Function (Ω)
- 6
- 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
- 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
- no
- Odd
- yes
Appears in sequences
- Heptagonal numbers (or 7-gonal numbers): n*(5*n-3)/2.at n=33A000566
- Numbers of the form 3^i*11^j.at n=17A003597
- Degrees of irreducible representations of alternating group A_12.at n=31A003867
- Degrees of irreducible representations of symmetric group S_12.at n=56A003876
- Degrees of irreducible representations of symmetric group S_12.at n=57A003876
- Representation degeneracies for boson strings.at n=26A005292
- Number of ways to add n ordinals.at n=9A005348
- Maxima of the rows of the triangle A259095.at n=34A005577
- Coordination sequence T1 for Zeolite Code GME and AFX.at n=39A008110
- Coordination sequence T4 for Zeolite Code MFI.at n=33A008167
- Sum along upward diagonal of Pascal triangle up to (but not including) halfway point.at n=20A010755
- a(n) = |1^3 - 2^3 + 3^3 - 4^3 + ... + (-1)^(n+1)*n^3|.at n=17A011934
- Numbers k such that the k-th Euclid number A006862(k) = 1 + (Product of first k primes) is prime.at n=18A014545
- Odd heptagonal numbers (A000566).at n=16A014637
- Number of (unordered) triples of integers from [1,n] with no common factors between pairs.at n=37A015617
- Numbers k such that sigma(k) = sigma(k+5).at n=3A015865
- Expansion of 1/(1-x^8-x^9-x^10-x^11-x^12-x^13-x^14).at n=56A017872
- Number of ternary search trees on n keys.at n=10A019497
- Number of noninvertible 2 X 2 matrices over Z/nZ (determinant is a divisor of 0).at n=7A020479
- Fibonacci sequence beginning 4,9.at n=13A022130