1736
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 3840
- Proper Divisor Sum (Aliquot Sum)
- 2104
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 720
- Möbius Function
- 0
- Radical
- 434
- Omega Function (Ω)
- 5
- 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
- 29
- Smith Number
- yes
- 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
- Number of labeled trees of diameter 3 with n nodes.at n=4A000554
- a(n) = 6*n^2 + 2 for n > 0, a(0)=1.at n=17A005897
- Coordination sequence T1 for Zeolite Code MTN.at n=25A008186
- Coordination sequence T2 for Cordierite.at n=25A008252
- Expansion of g.f.: x^4/((1-x)*(1-x^2)^2*(1-x^3)).at n=50A008763
- Expansion of (1+x^4)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=47A008765
- Coordination sequence T3 for Zeolite Code RTH.at n=29A009895
- Coordination sequence for NiAs(1), As position.at n=17A009943
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly three 1's.at n=24A013650
- a(n) = n*(9*n-2).at n=14A013656
- Positive integers n such that 2^n == 2^11 (mod n).at n=36A015935
- a(0)=0, a(2*n) = 2*a(n) + 2*a(n-1) + n^2 + n, a(2*n+1) = 4*a(n) + (n+1)^2.at n=35A022560
- Numbers that are the sum of 4 distinct nonzero squares in exactly 10 ways.at n=46A025385
- Numbers that are the sum of 4 distinct positive cubes in exactly 2 ways.at n=11A025409
- Numbers that are the sum of 4 distinct positive cubes in 2 or more ways.at n=12A025412
- a(n) = (d(n)-r(n))/2, where d = A026066 and r is the periodic sequence with fundamental period (1,0,0,0).at n=16A026067
- Numbers n such that n^2 + (n+1)^2 + (n+2)^2 is palindromic.at n=4A027573
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 4 (most significant digit on left).at n=56A029449
- Number of directed (or Gale-Ryser) graphical partitions: degree-vector pairs (in-degree, out-degree) for directed graphs (loops allowed) with n vertices; or possible ordered pair (row-sum, column-sum) vectors for a 0-1 matrix.at n=5A029894
- Numbers k such that 183*2^k+1 is prime.at n=19A032468