6214
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 3866
- 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
- 2856
- Möbius Function
- -1
- Radical
- 6214
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 124
- 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 62.at n=24A020401
- Expansion of 1/((1-3x)(1-4x)(1-9x)(1-10x)).at n=3A028047
- Denominators of continued fraction convergents to sqrt(338).at n=9A041639
- Numbers having four 4's in base 6.at n=15A043388
- Least nontrivial multiple of the n-th prime beginning with 6.at n=51A078290
- Number of threshold functions on n X n grid.at n=10A114146
- Duplicate of A114146.at n=10A115027
- Sum of the even parts in all partitions of n into distinct parts.at n=32A116684
- Number of partitions of n into parts that are odd or == +- 2 (mod 10).at n=38A133153
- 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, 1), (-1, 1, 0), (1, 0, -1), (1, 1, 1)}.at n=8A149262
- a(n) = 4394*n + 1820.at n=1A156636
- A sequence of triples of squarefree consecutive integers each composed of exactly three primes.at n=22A165936
- a(n) = Sum_{k=0..n} A109613(k)*A005843(n-k).at n=26A171218
- Eight bishops and one elephant on a 3 X 3 chessboard: a(n) = 2*Pell(n+1)+2*Pell(n)-2^n, with Pell = A000129.at n=9A175658
- a(n) = DP(n) is the total number of k-double-palindromes of n, where 2 <= k <= n.at n=17A180750
- Sum of distinct residues of all factorials mod prime(n).at n=32A210185
- Triangle of coefficients of polynomials u(n,x) jointly generated with A210218; see the Formula section.at n=63A210217
- Triprimes (numbers that are a product of exactly three primes: A014612) that become cubes when their central digit or central pair of digits is deleted.at n=38A217297
- Number of n X n 0..2 arrays with no more than floor(n X n/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..2 order.at n=4A222363
- Number of nX5 0..2 arrays with no more than floor(nX5/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..2 order.at n=4A222368