6948
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 17654
- Proper Divisor Sum (Aliquot Sum)
- 10706
- 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
- 2304
- Möbius Function
- 0
- Radical
- 1158
- Omega Function (Ω)
- 5
- 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 9 positive 7th powers.at n=30A003376
- Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10).at n=35A017832
- Expansion of Product_{m>=1} (1+x^m)^4.at n=13A022569
- Number of prime powers (p^2, p^3, ...) <= 2^n.at n=31A036386
- Numerators of continued fraction convergents to sqrt(145).at n=2A041264
- a(n) = a(n-1) + a(n - 1 minus the number of terms of a(k) == (mod 6) so far).at n=25A060733
- Values of z in positive integer solutions of x^2 + y^5 = z^3, listed in increasing order of z.at n=18A070067
- a(n) = A082613(n) divided by the n-th power that divides it.at n=22A082614
- Total number of parts in all compositions of n into distinct odd parts.at n=37A097936
- Largest (or middle) entry in row n of A099766.at n=17A099768
- Numbers k such that 7*10^k + 6*R_k - 3 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=14A103064
- Partial sums of A011757.at n=14A109770
- Largest number that is not the sum of five n-gonal numbers.at n=20A118367
- G.f. satisfies: A(x) = x + A(x^2/(1-x)^2).at n=12A119685
- Averages of twin primes of the form : i^2+j^2, as sum of two squares.at n=16A143793
- a(n) = p(n)*p(n+2)-p(n+1), where p(n) is the n-th prime.at n=21A152530
- Numbers k such that A000217(k)/A006218(k) is an integer.at n=7A160922
- Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k 3-term arithmetic progressions (n>=0; 0<=k<=floor((n-1)^2/4)).at n=52A162982
- Numbers k such that 3^k + 22 is prime.at n=19A219042
- Refactorable numbers between a pair of twin primes.at n=37A226176