17800
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 41850
- Proper Divisor Sum (Aliquot Sum)
- 24050
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7040
- Möbius Function
- 0
- Radical
- 890
- Omega Function (Ω)
- 6
- 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
- 141
- 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
- Numbers k such that 183*2^k+1 is prime.at n=33A032468
- Number of partitions of n with designated summands.at n=24A077285
- a(n) = 1 + Sum(prime(i)*(2*i-1): 1<=i<=n).at n=19A083215
- a(n) = 36*n^2 - 55*n + 21.at n=22A157262
- Numbers n with property that n^2 is a sum of some 70 successive primes.at n=26A166256
- Number of (n+2) X 3 0..1 arrays with every 3 X 3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..1 introduced in row major order.at n=4A203916
- Number of (n+2)X7 0..1 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..1 introduced in row major order.at n=0A203920
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..1 introduced in row major order.at n=10A203923
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..1 introduced in row major order.at n=14A203923
- Fibonacci sequence beginning 13, 10.at n=16A206608
- Total sum of the numbers of partitions with positive k-th ranks of all partitions of n.at n=27A208479
- Numbers of the form x^3 + SumOfCubedDigits(x).at n=26A225051
- Sums of Pythagorean sextuples in increasing order: The sums of sets of six natural numbers which correspond to the lengths of the edges of a tetrahedron whose four faces are all different Pythagorean triangles.at n=31A248548
- Numbers m > 0 that have a divisor d > 1 with binomial(m+d, d) == 1 mod m.at n=29A290040
- Number of nX5 0..1 arrays with every element equal to 1, 2 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.at n=5A301996
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.at n=50A301999
- Number of 6Xn 0..1 arrays with every element equal to 1, 2 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.at n=4A302003
- a(n) = Fibonacci(n-1) + Fibonacci(floor(n/2)).at n=23A336030
- Numbers k such that the concatenation 1,2,3,... up to (k-1) is one less than a multiple of k.at n=45A358610
- G.f. A(x) satisfies A(x) = 1 + x*A(x)^4 / (1 - x*A(x)^2).at n=6A364792