9814
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16848
- Proper Divisor Sum (Aliquot Sum)
- 7034
- 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
- 4200
- Möbius Function
- -1
- Radical
- 9814
- Omega Function (Ω)
- 3
- 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
- 135
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 70.at n=38A020409
- a(n) = n*(25*n + 1)/2.at n=28A022283
- T(2n,n+4), T given by A026769.at n=5A026886
- Numbers whose base-3 representation contains exactly one 0 and no 2's.at n=33A044994
- Numbers whose base-4 representation contains exactly four 1's and three 2's.at n=26A045108
- Coefficients of replicable function number "32b".at n=35A058632
- Engel expansion of Sum_{k>=0} 1/(2 + k)^k.at n=10A063185
- a(n) = floor(X/Y) where X = concatenation in decreasing order of (2n)-th even number to (n+1)-th even number and Y = that of first n even numbers in increasing order.at n=5A067092
- Interprimes which are of the form s*prime, s=14.at n=16A075289
- Row sums of the triangle A097883.at n=26A098404
- Multiples of 14 containing a 14 in their decimal representation.at n=29A121034
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, 1, 0), (1, 0, -1), (1, 1, 1)}.at n=7A150622
- Number of 1-sided strip polyiamonds with n cells.at n=17A151517
- Number of 5-bead necklaces labeled with numbers -n..n allowing reversal, with sum zero and first and second differences in -n..n.at n=21A208972
- G.f.: Sum_{n>=0} x^n * (1+x)^(n*(n+1)/2) / Product_{k=1..n} (1 + x*(1+x)^k).at n=13A221547
- Denominators of the ordinary convergents of continued fraction [2/1,3/2,4/3,5/4,...].at n=7A229352
- A recurrence relation conditioned on the primality of the preceding terms.at n=31A236768
- Number of partitions p of n such that m(p) <= m(c(p)), where m = maximal multiplicity of parts, and c = conjugate.at n=35A240727
- Numbers divisible by prime(d) for each digit d in their base-9 representation, none of which may be zero.at n=39A256879
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 157", based on the 5-celled von Neumann neighborhood.at n=23A270331