9962
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15876
- Proper Divisor Sum (Aliquot Sum)
- 5914
- 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
- 4672
- Möbius Function
- -1
- Radical
- 9962
- 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
- 91
- 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
- Expansion of exp(tanh(x)*sinh(x)).at n=5A009271
- Coordination sequence for sigma-CrFe, Position Xf.at n=25A009958
- Number of integer points (x,y,z) at distance <= 0.5 from sphere of radius n.at n=28A016728
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A000201 (lower Wythoff sequence), t = A001950 (upper Wythoff sequence).at n=29A024686
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = A000201 (lower Wythoff sequence), t = A001950 (upper Wythoff sequence).at n=28A025119
- Engel expansion of the golden ratio, (1 + sqrt(5))/2 = 1.61803... .at n=18A028259
- Numbers m such that m^2 ends in 444.at n=39A039685
- Triangles in open triangular matchstick arrangement (triangle minus one side) of side n.at n=34A045947
- Numbers n such that n | 8^n + 7^n + 6^n + 5^n + 4^n + 3^n + 2^n + 1^n.at n=38A056751
- Engel expansion of sqrt(5) = 2.23606...at n=18A059176
- a(n) = 6*binomial(n,4) + 3*binomial(n,3) + 4*binomial(n,2) - n + 2.at n=14A066375
- Upper bound on number of regular triangulations of cyclic polytope C(n, n-4).at n=29A066456
- a(n) = Sum_{i=1..n} floor((3/2)^i).at n=19A066778
- Starting positions of strings of three 9's in the decimal expansion of Pi.at n=7A083642
- Numbers k such that 4^k + 9i is a Gaussian prime.at n=24A084541
- Triangle, read by rows: T(0,0) = 1, T(n,k) = F(n+1)*T(n-1,k) - T(n-1,k-1) where F(n+1) is the (n+1)st Fibonacci number.at n=32A107416
- Numbers n such that p(8n) is prime, where p(n) is the number of partitions of n.at n=24A114168
- a(n) = n*(4*n^2 + n - 1)/2.at n=16A125200
- Numbers k such that k and k^2 use only the digits 1, 2, 4, 6 and 9.at n=32A136995
- Number of squarefree integers not exceeding 2^n.at n=14A143658