17810
domain: N
Properties
Digital Properties
- Digit Count
- 5
- 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
- 34776
- Proper Divisor Sum (Aliquot Sum)
- 16966
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6528
- Möbius Function
- 1
- Radical
- 17810
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 97
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Nearest integer to modified Bessel function K_n(2).at n=9A000167
- a(n) = floor(tau*a(n-2)) + a(n-1) with a(0)=0 and a(1)=1.at n=18A005833
- a(n) = dot_product(1,2,...,n)*(5,6,...,n,1,2,3,4).at n=34A026043
- a(n) = prime(n)*prime(n+1) - prime(n+1).at n=31A037167
- Distinct even numbers in writing first numerator and then denominator of each element of the 1/4-Pascal triangle (by row).at n=12A046589
- Number of polyominoes with n cells, symmetric about diagonal 2.at n=40A056878
- Triangle read by rows: T(n,k) is the number of permutations of [n] having k adjacent transpositions (0 <= k <= floor(n/2)). An adjacent transposition is a cycle of the form (i, i+1).at n=32A177248
- Number of n X 4 nonnegative integer arrays with each row and column increasing from zero by 0 or 1.at n=11A202752
- Numbers k that are the product of four distinct primes such that x^2+y^2 = k has integer solutions.at n=28A248712
- Numbers m such that (4^m + 17) / 3 is prime.at n=15A261578
- Number of (not necessarily maximal) cliques in the n X n king graph.at n=42A295906
- Numbers m such that m^2+1 is prime with (m-1)^2+1 and (m+1)^2+1 semiprimes.at n=30A321795
- Numerator of the least possible squared diameter of an enclosing circle of a strictly convex lattice n-gon.at n=15A322106
- a(n) is the number of edges formed by n-secting the angles of a decagon.at n=20A335802
- Number of polyominoes of n cells with both diagonal symmetries, for which the 180-degree rotational symmetry has an axis that coincides with the center of a square, but without 90-degree rotational symmetry.at n=40A351159
- Number of permutations of [n] having exactly two adjacent 2-cycles.at n=10A370426