6950
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 13020
- Proper Divisor Sum (Aliquot Sum)
- 6070
- 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
- 2760
- Möbius Function
- 0
- Radical
- 1390
- Omega Function (Ω)
- 4
- 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
- 106
- 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
- Numbers that are the sum of 11 positive 7th powers.at n=36A003378
- A companion sequence to A011896.at n=47A055610
- Numbers k such that k! is divisible by the square of (f+d)!^2 for d = 0, 1 and 2 (and possibly larger d), where f = floor(k/2).at n=34A056068
- Number of primitive (aperiodic) palindromic structures using exactly five different symbols.at n=17A056484
- Coefficients of replicable function number 15a.at n=41A058512
- Numbers k such that 10*k-1, 10*k-3, 10*k-7 and 10*k-9 are all prime.at n=28A064975
- Smallest m such that A065623(m) = n.at n=29A065624
- Product of n-th prime number and n-th composite number.at n=33A067563
- Generating function satisfies A(x) = exp(2*A(x)*x + 2*A(x^3)*x^3/3 + 2*A(x^5)*x^5/5 + 2*A(x^7)*x^7/7 +...).at n=7A073075
- Gregorian calendar years with Ascension Day in April.at n=26A084427
- Triangular array related to Motzkin triangle A026300.at n=40A084536
- Triangle read by rows: T(n,k) = number of lattice paths from (0,0) to (n,k) that do not go below the line y=0 and consist of steps U=(1,1), D=(1,-1) and three types of steps H=(1,0) (left factors of 3-Motzkin steps).at n=40A091965
- Triangle read by rows: T(n,k) is the coefficient of t^k (k >= 1) in the polynomial P[n,t] defined by P[1,t] = P[2,t] = t, P[n,t] = P[n-1,t] + P^2[n-2,t].at n=53A103484
- Maximal troughs in decimal expansions of Pi: positions of troughs equal to 8.at n=11A105276
- Positions of 4's in A038800 with offset 1.at n=29A115095
- a(n) is the coefficient of x^n in the (n+1)-th self-composition of g.f. A(x) for n>=1, with a(1)=1.at n=5A153389
- a(n) = 225*n^2 - 199*n + 44.at n=6A156812
- The magic constants of 6 X 6 magic squares composed of consecutive primes.at n=34A177434
- a(n) = Sum_{k=1..n} k*k', where n' is the arithmetic derivative of n.at n=29A190117
- Inverse Euler transform of 2 - A195981.at n=12A206000