7363
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7600
- Proper Divisor Sum (Aliquot Sum)
- 237
- 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
- 7128
- Möbius Function
- 1
- Radical
- 7363
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 132
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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) = round(n*phi^11), where phi is the golden ratio, A001622.at n=37A004946
- Pseudoprimes to base 21.at n=20A020149
- Pseudoprimes to base 58.at n=30A020186
- Strong pseudoprimes to base 21.at n=4A020247
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 25 ones.at n=1A031793
- Numbers k such that 119*2^k + 1 is prime.at n=12A032409
- a(n) = (2*n+1)*(11*n+1).at n=18A033575
- Number of partitions of n into parts not of the form 21k, 21k+5 or 21k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=33A035983
- Numbers whose base-4 representation contains exactly three 0's and three 3's.at n=23A045079
- 13-gonal (or tridecagonal) numbers: a(n) = n*(11*n - 9)/2.at n=37A051865
- Numbers k such that Euler phi(k) / Carmichael lambda(k) = 18.at n=38A066697
- Rounded volume of a regular icosahedron with edge length n.at n=15A071402
- Numbers k such that (35*10^(k-1) - 53)/9 is a plateau prime.at n=10A082709
- Start with 1027 and repeatedly reverse the digits and add 16 to get the next term.at n=72A119455
- a(n) = Sum_{r>0,s>0} binomial(r*s-1,n-1)/2^(r+s).at n=5A123114
- a(n) = floor(Fibonacci(n)/prime(n)).at n=29A130732
- G.f.: [Sum_{n>=0} x^(n^2) * (1+x+x^2)^n ]^2.at n=48A182153
- Number of strings of numbers x(i=1..4) in 0..n with sum i^2*x(i) equal to n*16.at n=47A183955
- Integer solutions x to the equation A064380(x)-A000010(x)=5.at n=45A186781
- Number of n X n 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,1,3,2,0 for x=0,1,2,3,4.at n=4A197195