8616
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
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 21600
- Proper Divisor Sum (Aliquot Sum)
- 12984
- 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
- 2864
- Möbius Function
- 0
- Radical
- 2154
- Omega Function (Ω)
- 5
- 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
- 34
- 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
- Bishops on an n X n board (see Robinson paper for details).at n=12A005633
- Number of squarefree palindromes over {0, 1, 2} of length 2n+1.at n=31A012212
- Minimum number of possible solutions for all irreducible stick-cutting problems.at n=16A022542
- a(n) = position of n^3 + 9 in A003072.at n=42A024971
- a(n) = ceiling((n + 1/2)^3).at n=19A034131
- Denominators of continued fraction convergents to sqrt(895).at n=7A042731
- Number of prime lucky numbers <10^n.at n=6A055728
- Number of orbits of length n under a map whose periodic points are counted by A027306.at n=17A060172
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 73 ).at n=39A063346
- Numbers k such that 4^k - 2^k - 1 is prime.at n=29A098845
- Inverse Moebius transform of the shifted tetrahedral numbers.at n=34A116963
- Rectangular table, read by antidiagonals, such that the g.f. of row n, R_n(y), satisfies: R_n(y) = [ Sum_{k>=0} y^k * R_{n*k}(y) ]^n for n>=0, with R_0(y)=1.at n=59A124550
- Row 6 of table A124550; also equals the self-convolution 6th power of A124566, which is row 6 of table A124560.at n=4A124556
- Number of different values of i^2+j^2+k^2+l^2+m^2 for i,j,k,l,m in [0,n].at n=44A132432
- Analog of A060410 for the 5x+1 problem (cf. A133419).at n=11A133424
- A transform of floor((n+2)/2) with Hankel transform floor((n+2)/2)*(cos(Pi*n/2) + sin(Pi*n/2)).at n=12A134389
- Sequence generated from Z/6Z addition table considered as a matrix.at n=3A140045
- a(n) = 1728*n - 24.at n=4A157287
- Number of binary strings of length n with equal numbers of 00010 and 00110 substrings.at n=14A164213
- The fourth row of the ED1 array A167546.at n=10A167547