10950
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 27528
- Proper Divisor Sum (Aliquot Sum)
- 16578
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 0
- Radical
- 2190
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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
- a(n) = 1*t(n) + 2*t(n-1) + ...+ k*t(n+1-k), where k=floor((n+1)/2) and t is A001950 (upper Wythoff sequence).at n=35A023867
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = A001950 (upper Wythoff sequence).at n=34A024864
- Expansion of 1/((1-4x)(1-7x)(1-10x)(1-11x)).at n=3A028152
- Denominators of continued fraction convergents to sqrt(342).at n=5A041647
- Numbers k such that k | sigma_6(k).at n=34A055710
- Engel expansion of sin(1).at n=15A067919
- Numbers k such that phi(k) = bigomega(k)*tau(k)^2.at n=26A068540
- a(n) = 60*n^2 + 180*n + 150.at n=11A069477
- Antidiagonal sums of square array A082025.at n=26A082190
- Duplicate of A067919.at n=15A084650
- Stable Poincaré series [or Poincare series] for Lie algebra of types B or C.at n=20A098789
- Third differences of fifth powers (A000584).at n=14A101096
- Records in A104883.at n=21A104884
- Least positive k such that k * Z^n + 1 is prime, where Z = 10^100+267, the first prime greater than a googol.at n=42A108344
- Matrix square, T(n,k), of Parker's partition triangle A047812, read by rows (n >= 1 and 0 <= k <= n-1).at n=29A128567
- Column 1 of triangle A128567.at n=6A128568
- Numbers k such that 6*p(k)*p(k+1)*p(k+2)*p(k+3)*p(k+4)*(k+5)*p(k+6)-1 and 6*p(k)*p(k+1)*p(k+2)*p(k+3)*p(k+4)*(k+5)*p(k+6)+1 are twin primes with p(h) = h-th prime.at n=3A129313
- a(0)=1; thereafter a(n)=a(n-1)+a([n/Phi]), where Phi=(1+sqrt(5))/2, the golden ratio.at n=38A131882
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 5 and 9.at n=55A136826
- Let S be a strictly monotonic sequence of length 2n and let p and q be subsequences of S each of length n such that the least element belongs to p and every element of S belongs to either p or q. The number of ways to select p such that for any index i the exchange of p(i) and q(i) makes at least one of p and q non-monotonic, is given by a(n).at n=9A137398