3608
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
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 7560
- Proper Divisor Sum (Aliquot Sum)
- 3952
- 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
- 1600
- Möbius Function
- 0
- Radical
- 902
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 56
- 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
- yes
- Odd
- no
Appears in sequences
- Number of isomorphism classes of connected 3-regular (trivalent, cubic) loopless multigraphs of order 2n.at n=6A000421
- Number of n-step spiral self-avoiding walks on hexagonal lattice, where at each step one may continue in same direction or make turn of 2*Pi/3 counterclockwise.at n=27A000511
- Coordination sequence for 4-dimensional cubic lattice (points on surface of 4-dimensional cross-polytope).at n=11A008412
- Number of ferrites M_8Y_n that repeat after 6n+40 layers.at n=14A011963
- Twelve iterations of Reverse and Add are needed to reach a palindrome.at n=17A015993
- Numbers whose base-3 representation is the juxtaposition of two identical strings.at n=43A020331
- Numbers whose base-9 representation is the juxtaposition of two identical strings.at n=43A020337
- Numbers k such that Fib(k) == 21 (mod k).at n=26A023179
- Expansion of 1/((1-3x)(1-4x)(1-7x)(1-8x)).at n=3A028038
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 15.at n=25A031513
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 15.at n=3A031693
- Every run of digits of n in base 3 has length 2.at n=21A033001
- Decimal part of a(n)^(1/2) starts with reversal of its integer part: first term of runs.at n=44A034308
- Multiplicity of highest weight (or singular) vectors associated with character chi_122 of Monster module.at n=41A034510
- Number of points of L1 norm 11 in cubic lattice Z^n.at n=4A035605
- Denominators of continued fraction convergents to sqrt(751).at n=8A042447
- Numbers having, in base 15, (sum of even run lengths)=(sum of odd run lengths).at n=35A044886
- Numbers k such that 297*2^k-1 is prime.at n=29A050907
- Numbers k such that k | phi(k)*d(k) - sigma(k), where phi=A000010, d=A000005 and sigma=A000203.at n=6A055650
- Numbers k such that k | sigma_5(k).at n=25A055709