9512
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18900
- Proper Divisor Sum (Aliquot Sum)
- 9388
- 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
- 4480
- Möbius Function
- 0
- Radical
- 2378
- 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
- 78
- 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
- If a, b in sequence, so is ab+8.at n=36A009331
- a(n) is nonsquarefree and is sum of first k nonsquarefrees for some k.at n=40A013935
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 47.at n=35A031545
- Numerators of continued fraction convergents to sqrt(72).at n=4A041126
- a(n) = sqrt(2)*( (3+2*sqrt(2))^n - (3-2*sqrt(2))^n ).at n=5A081554
- a(n) is the minimal area of a convex lattice polygon with 2n sides.at n=39A089187
- a(n) is the smallest positive d such that the n-th prime is the smallest prime p for which p+d is also prime.at n=23A101042
- A101042 sorted. There exists a prime p for which a(n) is the smallest positive d such that p is the smallest prime where p+d is also prime.at n=27A101043
- Number of permutations p of 1,2,...,n satisfying |p(i+2)-p(i)| not equal to 2 for all 0<i<n-1.at n=8A110128
- a(n) = 9 + floor((3 + Sum_{j=1..n-1} a(j))/4).at n=31A120167
- Indices of squares (of primes) in the semiprimes.at n=44A128301
- G.f. satisfies: A(x) = x + A(A(A(x)))^2.at n=5A141372
- Floor((10^n)/(log(10^n) - 1)).at n=4A193257
- a(n) = tau(n)*Pell(n), where tau(n) = A000005(n), the number of divisors of n.at n=9A204270
- T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 0 1 vertically.at n=47A207169
- Number of 3 X n 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 0 1 vertically.at n=7A207171
- T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 1 vertically.at n=47A208013
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w^3>x^3+y^3.at n=27A211811
- Number of partitions of n+9 with largest inscribed rectangle having area <= n.at n=24A218630
- Round((10^n)/(log(10^n) - 1)).at n=4A226744