6924
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 16184
- Proper Divisor Sum (Aliquot Sum)
- 9260
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2304
- Möbius Function
- 0
- Radical
- 3462
- Omega Function (Ω)
- 4
- 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
- 150
- 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
- a(n) = n*(n^2 + 1)/2.at n=24A006003
- Exponentiation of Fibonacci numbers.at n=6A007552
- 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 54.at n=38A031552
- Sums of 6 distinct powers of 3.at n=33A038468
- First partial sums of A048739; second partial sums of A000129.at n=9A048776
- Number of partitions of n in which each part occurs an odd number (or zero) times.at n=40A055922
- Nonnegative numbers of form n*(n^2+-1)/2.at n=47A057587
- Numbers k such that the period of the continued fraction for sqrt(2)*k (A064848) is 2.at n=39A065029
- Table by antidiagonals of T(n,k) = 2*n*T(n,k-1) - n^2*T(n,k-2) + T(n,k-4) starting with T(n,1) = 1.at n=56A073135
- a(n) is the square of the n-th partial sum minus the n-th partial sum of the squares, divided by a(n-1), for all n>=1, starting with a(0)=1, a(1)=2.at n=12A087955
- A Pell convolution.at n=11A113727
- Row sums of triangle A115237.at n=22A115238
- Partial sums of primes that are not Chen primes (starting with 1).at n=27A118483
- G.f.: A(x) = 1 + Sum_{n>=1} x^n*[ Product_{k=1..n} F_k(x) ] where F_n(x) = 1 + x*F_n(x)^n.at n=9A131351
- a(n) = 216*n + 12.at n=31A154519
- a(n) = (7*n^2 + 7*n - 12)/2.at n=43A166146
- Indices of pentagonal pyramidal numbers which are the sum of two other such numbers: k such that A002411(k) = A002411(i)+A002411(j) for some i,j>0.at n=20A172437
- Companion value m associated with A177967(n).at n=24A177968
- Where zeros occur in the 1-0 race in the binary expansion of Pi-3; that is, n such that A174832(n) = 0.at n=27A178980
- Number of n X 2 binary arrays with each sum of a(1..i,1..j) no greater than i*j/2 and rows and columns in nondecreasing order.at n=45A183409