17764
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 31094
- Proper Divisor Sum (Aliquot Sum)
- 13330
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8880
- Möbius Function
- 0
- Radical
- 8882
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 185
- 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
- Convoluted convolved Fibonacci numbers G_8^(r).at n=12A089115
- Indices of primes in sequence defined by A(0) = 17, A(n) = 10*A(n-1) - 3 for n > 0.at n=25A102024
- Integer part of the area of consecutive prime sided tetragons with one right angle.at n=31A105270
- a(n) = Sum_{k=1..n} prime(k)^4.at n=4A122102
- Sums of two or more distinct 4th powers of primes.at n=25A130833
- Sum of fourth powers of five consecutive primes.at n=0A133540
- a(n) = Least i in range [A165598(n),A165598(n+1)] for which abs(A165597(i)) gets the maximum value in that range.at n=19A165599
- The Matula-Goebel numbers of the rooted trees that have palindromic Wiener polynomials.at n=21A198322
- G.f. satisfies: A(x) = (1 + x*A(x))^2 * (1 + A(x)) / 2.at n=5A228966
- Number of (n+2)X(6+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 and no antidiagonal sum 0 and no row sum 2 and no column sum 2.at n=19A255226
- Numbers n such that the decimal number concat(9,n) is a square.at n=24A273364
- Partial sums of A299896.at n=33A299897
- Solution (a(n)) of the complementary equation a(n) = 2*a(n-1) - a(n-2) + b(n-1) + b(n); see Comments.at n=34A305330
- Numbers of graphs which are double triangle descendants of K_5 with four more vertices than triangles.at n=32A332735
- The number of regions inside a Reuleaux triangle formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts.at n=8A340639
- Numbers k such that k | 11^k + 7^k + 5^k + 3^k + 2^k.at n=13A343977
- G.f. satisfies x = Sum_{n>=1} -(-1)^(n mod 3) * x^n * abs(1/A(x)^n), where abs(F(x)) equals the series expansion formed by the unsigned coefficients in F(x).at n=9A381354