6230
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 12960
- Proper Divisor Sum (Aliquot Sum)
- 6730
- 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
- 2112
- Möbius Function
- 1
- Radical
- 6230
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 62
- 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
- Generalized Stirling numbers of second kind.at n=5A000558
- Coordination sequence for sigma-CrFe, Position Xd.at n=20A009959
- Decimal part of cube root of a(n) starts with 4: first term of runs.at n=17A034130
- Minimum area rectangle into which squares of sizes 1, 2, 3, ... n can be packed.at n=25A038666
- Matrix square of Stirling2 triangle A008277: 2-levels set partitions of [n] into k first-level subsets.at n=22A039810
- Triangle of generalized Stirling numbers of 2nd kind.at n=26A046817
- Numbers n such that A048767(n+1)=A048767(n).at n=11A048769
- Convolutory inverse of signed lower Wythoff sequence.at n=15A078140
- This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of binomial coefficients C(n,5). The p-th row (p>=1) contains a(i,p) for i=1 to 5*p-4, where a(i,p) satisfies Sum_{i=1..n} C(i+4,5)^p = 6 * C(n+5,6) * Sum_{i=1..5*p-4} a(i,p) * C(n-1,i-1)/(i+5).at n=15A087109
- Indices of primes in sequence defined by A(0) = 59, A(n) = 10*A(n-1) - 21 for n > 0.at n=19A101583
- The PDO(n) function (Partitions with Designated summands in which all parts are Odd): the sum of products of multiplicities of parts in all partitions of n into odd parts.at n=32A102186
- Coefficients of the C-Rogers mod 14 identity.at n=38A105782
- P(P(n))-P(P(n-1)), where P(n) = n(n+1)(n+2)/6 (cf. A000292).at n=5A113596
- Second (k=2) triangle of numbers related to totally asymmetric exclusion process (case alpha=1, beta=1).at n=49A115127
- Partial sums of A005557.at n=6A115130
- a(n) = 20*a(n-2) - 64*a(n-4).at n=3A119886
- Number of partitions of n with even crank.at n=34A124227
- a(n) = 5*n^2 + 3*n.at n=34A126264
- Triangle read by rows: matrix product of the binomial coefficients with the Stirling numbers of the second kind.at n=39A126350
- Square of the Stirling2 matrix A048993.at n=30A130191