6097
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7616
- Proper Divisor Sum (Aliquot Sum)
- 1519
- 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
- 4752
- Möbius Function
- -1
- Radical
- 6097
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 36
- 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
- no
- Odd
- yes
Appears in sequences
- A generalized partition function.at n=19A002598
- Expansion of e.g.f. cos(tanh(x)) (even powers only).at n=4A003711
- Hexagonal prism numbers: a(n) = (n + 1)*(3*n^2 + 3*n + 1).at n=12A005915
- Expansion of e.g.f. exp( tan x ).at n=8A006229
- Oscillates under partition transform.at n=42A007211
- Apply (1+Shift)^2 to Bell numbers.at n=8A011969
- Aitken's array: triangle of numbers {a(n,k), n >= 0, 0 <= k <= n} read by rows, defined by a(0,0)=1, a(n,0) = a(n-1,n-1), a(n,k) = a(n,k-1) + a(n-1,k-1).at n=38A011971
- Sequence formed by reading rows of triangle defined in A011971.at n=30A011972
- Pseudoprimes to base 29.at n=37A020157
- Pseudoprimes to base 30.at n=34A020158
- Pseudoprimes to base 38.at n=36A020166
- Pseudoprimes to base 66.at n=23A020194
- Pseudoprimes to base 96.at n=24A020224
- Strong pseudoprimes to base 29.at n=9A020255
- Strong pseudoprimes to base 38.at n=11A020264
- a(n) = T(n,2n-6), T given by A027023.at n=8A027030
- Floor( exp(4/21)*n! ).at n=6A030849
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 12.at n=12A031690
- Consider all integer triples (i,j,k), j,k>0, with i^3=j^3+binomial(k+2,3), ordered by increasing i; sequence gives k values.at n=13A054236
- Nearest integer to (n+1)^3/9.at n=37A060999