10417
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11376
- Proper Divisor Sum (Aliquot Sum)
- 959
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9460
- Möbius Function
- 1
- Radical
- 10417
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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) = least m such that if r and s in {1/1, 1/4, 1/7, ..., 1/(3n-2)} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=45A024836
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 48 ones.at n=40A031816
- a(n) = (n + 2)*(2*n^2 - n + 3)/6.at n=31A056520
- Centered 21-gonal numbers.at n=31A069178
- Average of four successive primes squared, (prime(n)^2 + prime(n+1)^2 + prime(n+2)^2 + prime(n+3)^2)/4, n>=2.at n=23A075894
- Fifth subdiagonal in array of n-gonal numbers A081422.at n=21A081436
- a(n) = 1 + Sum(prime(i)*(2*i-1): 1<=i<=n).at n=16A083215
- a(n) = (2*5^n + (-1)^n)/3.at n=6A083217
- Centered hexamorphic numbers: the k-th centered hexagonal number, 3k(k-1)+1, ends in k.at n=18A094534
- 47-gonal numbers.at n=21A095311
- Number of permutations of length n which avoid the patterns 123 and 4312.at n=21A116699
- Expansion of e.g.f. exp(x + x^3).at n=8A118395
- Eigenvector of triangle A118394; E.g.f.: exp( Sum_{n>=0} x^(3^n) ).at n=8A118396
- a(n) is the number of integer lattice points inside the right triangle with legs 3n and 4n (and hypotenuse 5n).at n=41A126587
- Dispersion of A047221, (numbers >1 and congruent to 2 or 3 mod 5), by antidiagonals.at n=56A191729
- Number of (w,x,y) with all terms in {0,...,n} and 2*w >= |x+y-z|.at n=24A213397
- Number of nX6 0..2 arrays with no more than floor(nX6/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=2A222984
- T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=30A222986
- Number of 3Xn 0..2 arrays with no more than floor(3Xn/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=5A222988
- 0 followed by the sum of (1),(2), (3,4),(5,6), (7,8,9),(10,11,12) from the natural numbers.at n=43A235355