13455
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 26208
- Proper Divisor Sum (Aliquot Sum)
- 12753
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6336
- Möbius Function
- 0
- Radical
- 4485
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 50
- 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
- a(n) = floor(binomial(n,5)/6).at n=27A011843
- Numerators of continued fraction convergents to sqrt(14).at n=11A041020
- Numerators of continued fraction convergents to sqrt(56).at n=5A041096
- Numerators of continued fraction convergents to sqrt(224).at n=5A041418
- a(n) = ceiling(binomial(n,6)/n).at n=27A053643
- T(n,n-6), where T is the array in A055830.at n=11A055833
- Numbers that are the products of distinct substrings (>1) of themselves and do not end in 0.at n=17A059470
- Chebyshev T-polynomials T(n,15) with Diophantine property.at n=3A068203
- a(n) = floor(C(n+8,8)/C(n+2,2)).at n=20A084631
- Denominator of 2*Sum(C(n,w)/(2*w+1),w=0..n/2-1)+C(n,n/2)/(n+1) if n is even, or of 2*Sum(C(n,w)/(2*w+1),w=0..(n-1)/2) if n is odd.at n=22A085569
- Numbers n for which nontrivial positive magic squares of exactly 10 different orders with magic sum n exist. For a definition of nontrivial positive magic squares, see A125005.at n=33A125017
- Integer part of Gauss's Arithmetic-Geometric Mean M(2,n^4).at n=17A127765
- a(n) = 16n^2 + 32n + 15.at n=28A141759
- a(n) = ChebyshevT(3, n).at n=15A144129
- 3 times octagonal numbers: a(n) = 3*n*(3*n-2).at n=39A152751
- a(n) = (n+3)^2*n/2 + 1.at n=28A154560
- a(n) = 841*n - 1.at n=15A158402
- a(n) = 961*n + 1.at n=13A158414
- a(n) = 14*n^2 + 1.at n=30A158482
- a(n) = (2*n^3 + 5*n^2 - 3*n)/2.at n=22A162256