9236
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
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 16170
- Proper Divisor Sum (Aliquot Sum)
- 6934
- 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
- 4616
- Möbius Function
- 0
- Radical
- 4618
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 34
- 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 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 48.at n=37A031546
- Fibonacci iteration starting with (1, a(n)) leads to a "nine digits anagram".at n=16A034587
- (1/4)*number of nonsquare rectangles with corners on an n X n grid of points.at n=15A122225
- Number of base 18 n-digit numbers with adjacent digits differing by two or less.at n=5A126405
- Integer part of Gauss's Arithmetic-Geometric Mean M(1,n^3).at n=41A127759
- a(n) = n*n in the arithmetic where when digits are to be added they are multiplied, and when they are to be multiplied they are added.at n=48A169921
- Sequence A154692 adjusted to leading one:t(n,m)=A154692(n,m)-A154692(n,0)+1.at n=29A174667
- Sequence A154692 adjusted to leading one:t(n,m)=A154692(n,m)-A154692(n,0)+1.at n=34A174667
- Number of partitions of n such that m(2) < m(3), where m = multiplicity.at n=39A240063
- Number of partitions of n containing m(5) as a part, where m denotes multiplicity.at n=39A240490
- a(n) = Sum_{i=1..n} (-1)^{i+1} prime(i)^2, where prime(k) denotes the k-th prime: alternating sum of the squares of the first n primes.at n=30A240860
- Number of unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 8.at n=43A244462
- Number of (n+1)X(n+1) 0..1 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically.at n=9A253151
- Numbers that occur only once in A155043; positions of zeros in A262505, ones in A262507.at n=1A262508
- Smallest even fundamental discriminant k such that h(-k) = 2n, where h(D) is the class number of the quadratic field with discriminant D; or 0 if no such k exists.at n=32A344072
- Numbers whose binary indices have (1) prime indices covering an initial interval and (2) squarefree product.at n=33A371293
- a(n) = 4*(23 - 17*n + 8*n^2).at n=17A387458
- Record low points in A386487, negated.at n=51A387520