9233
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10560
- Proper Divisor Sum (Aliquot Sum)
- 1327
- 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
- 7908
- Möbius Function
- 1
- Radical
- 9233
- Omega Function (Ω)
- 2
- 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
- 153
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Number of ways of placing n nonattacking queens on n X n board (symmetric solutions count only once).at n=12A002562
- G.f.: Product_{k>=1} (1 + x^(2*k - 1)) / (1 - x^(2*k)).at n=44A006950
- Duplicate of A002562.at n=4A007630
- Numbers k such that k divides the (right) concatenation of all numbers <= k written in base 4 (most significant digit on right).at n=7A029497
- McKay-Thompson series of class 28A for Monster.at n=30A058606
- Numbers n such that the trajectory of n under the `3x+1' map reaches n - 1.at n=41A070991
- Sum of determinants of 2nd order principal minors of powers of the matrix ((1,1,0,0),(1,0,1,0),(1,0,0,1),(1,0,0,0)).at n=19A074193
- Interprimes which are of the form s*prime, s=7.at n=10A075282
- a(n) = Sum_{i=1..n} 2^(b(i) - 1), where b(n) is the differences between consecutive primes.at n=35A086769
- G.f.: Product_{k>0} (1-x^(2k-1))/(1-x^(2k)).at n=44A106507
- Expansion of (7-14*x+6*x^2)/((1-x)*(2*x^2-4*x+1)); related to the binomial transform of Pell numbers A000129 (see formula and comment for A007070).at n=6A113859
- Modified Schroeder numbers for q=5.at n=56A114293
- Modified Schroeder numbers for q=5.at n=55A114293
- Modified Schroeder numbers for q=5.at n=57A114293
- First row of Modified Schroeder numbers for q=5 (A114293).at n=10A114297
- List of primes with digits grouped into clumps of four. Leading zeros are not printed.at n=30A136420
- A144325(n) + A144313(n) + A144315(n).at n=21A144715
- Odd positive integers a(n) such that for every odd integer m>=7 there exists a unique representation of the form m=a(p)+2a(q)+4a(r).at n=26A147845
- Increasing sequence generated by these rules: a(1)=1, and if x is in a then 3x+2 and 4x-3 are in a.at n=49A191139
- A071963(n) - n, where A071963(n) is the largest prime factor of p(n), the n-th partition number A000041(n).at n=50A192885