6968
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 14280
- Proper Divisor Sum (Aliquot Sum)
- 7312
- 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
- 3168
- Möbius Function
- 0
- Radical
- 1742
- 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
- 181
- 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
- Coefficients of modular function g_2(tau).at n=8A003296
- Coordination sequence for root lattice B_6.at n=3A022148
- Least k such that the first k terms of A006928 contain n more 2's than 1's.at n=5A025507
- Decimal part of cube root of a(n) starts with 1: first term of runs.at n=17A034127
- Denominators of continued fraction convergents to sqrt(425).at n=13A041809
- Numbers k such that A000984(k) mod k = 0 and A080383(k) != 7.at n=28A080392
- Square array A(n,k) read by antidiagonals: coordination sequence for lattice B_n.at n=31A103883
- Even numbers n such that n^2 is an arithmetic number.at n=28A107924
- Square array, read by antidiagonals, where row n equals the coordination sequence of B_n lattice, for n >= 0.at n=48A108998
- Number of permutations in S_n avoiding the patterns 1342 and 2143.at n=8A109033
- Number of partitions of n such that largest part k occurs at least floor(k/2) times.at n=51A118083
- Row sums for A106597.at n=10A118649
- a(n) = 4394*n - 1820.at n=1A156627
- The A161671(n)-th partial sum of A161671.at n=27A161778
- Multiples of 13 whose reversal + 1 is also a multiple of 13.at n=37A166390
- Total number of possible standard knight moves on an n X 2n chessboard, if the knight is placed anywhere.at n=21A180319
- a(0)=0, a(1)=1, a(n)=(a(n-1) XOR n) + a(n-2).at n=18A182509
- Number of nondecreasing arrangements of n+2 numbers in 0..6 with the last equal to 6 and each after the second equal to the sum of one or two of the preceding four.at n=31A189323
- Number of (n+4)X6 0..1 matrices with each 5X5 subblock idempotent.at n=10A224684
- Number of partitions of n having an ordering of parts in which no parts of equal parity are adjacent and the first and last terms have the same parity.at n=42A239833