5970
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
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 14400
- Proper Divisor Sum (Aliquot Sum)
- 8430
- 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
- 1584
- Möbius Function
- 1
- Radical
- 5970
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 142
- 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
- a(n) = floor(n*phi^11), where phi is the golden ratio, A001622.at n=30A004926
- a(n) = round(n*phi^11), where phi is the golden ratio, A001622.at n=30A004946
- Every run of digits of n in base 14 has length 2.at n=31A033012
- Multiplicity of highest weight (or singular) vectors associated with character chi_20 of Monster module.at n=37A034408
- Number of partitions satisfying cn(1,5) < cn(2,5) + cn(3,5) and cn(4,5) < cn(2,5) + cn(3,5).at n=34A039888
- Denominators of continued fraction convergents to sqrt(176).at n=7A041325
- Positive integers having more base-14 runs of even length than odd.at n=33A044840
- Numbers k such that usigma(k) is a square and sets a new record for such squares.at n=15A064443
- Rounded volume of a regular tetrahedron with edge length n.at n=37A071399
- Sum of the reverses of the first n primes.at n=33A071602
- Positive numbers k such that the number of primes between k and 2*k is different from the number of primes between m and 2*m for every number m != k.at n=37A084142
- Residues of the Lucas - Lehmer primality test for M(13) = 8191.at n=5A129221
- Triangle of coefficients of the polynomials x^(n - 1)*A(n,x + 1/x), where A(n,x) are the Eulerian polynomials of A008292.at n=40A143505
- Triangle of coefficients of the polynomials x^(n - 1)*A(n,x + 1/x), where A(n,x) are the Eulerian polynomials of A008292.at n=44A143505
- Triangle read by rows: T(n,k) = t(n,k) + t(n,n-k), where t(n,k) = 2*(n!/k!)*(2*(n + k) - 1).at n=23A154987
- Triangle read by rows: T(n,k) = t(n,k) + t(n,n-k), where t(n,k) = 2*(n!/k!)*(2*(n + k) - 1).at n=25A154987
- Numerator of Euler(n, 3/13).at n=4A156347
- Numbers m such that (6*m)^5 is a sum of a twin prime pair.at n=31A173560
- a(n) = Sum_{k=1..n} 2^nonprime(k).at n=6A176496
- a(n) = 6*(10^n-5).at n=2A177097