1948
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
- 6
- Divisor Sum
- 3416
- Proper Divisor Sum (Aliquot Sum)
- 1468
- 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
- 972
- Möbius Function
- 0
- Radical
- 974
- 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
- 143
- 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
- Number of partitions of n if there are two kinds of 1's and two kinds of 2's.at n=16A000097
- a(n) is the number of partitions of 2n that can be obtained by adding together two (not necessarily distinct) partitions of n.at n=12A002219
- Number of trees by stability index.at n=16A003428
- Number of convex polygons of length 2n on square lattice whose leftmost bottom vertex is strictly to the left of the rightmost top vertex.at n=6A005768
- a(n) = Sum_{k=1..n-1} k XOR n-k.at n=51A006582
- Coordination sequence T2 for Zeolite Code VFI.at n=34A008246
- Numbers n such that n is a substring of its square when both are written in base 2.at n=32A018826
- Numbers n such that n is a substring of its square (both n and n squared in base 4) (written in base 10).at n=16A018828
- Numbers n such that n is a substring of its square in base 8 (written in base 10).at n=9A018832
- Numbers k such that the continued fraction for sqrt(k) has period 56.at n=2A020395
- Self-convolution of composite numbers.at n=12A023648
- a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3).at n=23A024312
- a(n) = [ (2nd elementary symmetric function of P(n))/(first elementary symmetric function of P(n)) ], where P(n) = {first n+1 primes}.at n=43A024452
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = floor( n/2 ), s = natural numbers >= 3.at n=22A024875
- a(n) = (d(n)-r(n))/2, where d = A026066 and r is the periodic sequence with fundamental period (1,0,0,0).at n=17A026067
- a(n) = Sum_{0<=j<=i, 0<=i<=n} A027907(i, j).at n=7A027915
- Positions of records in A030707.at n=40A030712
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 22.at n=23A031520
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 22 ones.at n=14A031790
- Numbers k whose decimal representation, read as a base-20 value and divided by k, yields an integer.at n=32A032571