9023
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10320
- Proper Divisor Sum (Aliquot Sum)
- 1297
- 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
- 7728
- Möbius Function
- 1
- Radical
- 9023
- 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
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite DOH = Dodecasil 1H [Si34O68].qR starting with a T3 atom.at n=12A019116
- 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 93.at n=33A031591
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 2 (mod 4).at n=44A035547
- Numbers whose concatenation of prime factors (with multiplicity) is a square.at n=24A038693
- Numbers whose base-4 representation contains exactly two 0's and four 3's.at n=26A045075
- Number of binary strings u of any length with property that length(u) + number of 0's in u <= n (only one of a string and its reversal are counted).at n=18A066067
- Sum of the first n Sophie Germain primes.at n=31A066819
- a(1) = 7, a(n) = least k such that concatenation of n copies of k with all previous concatenation gives a prime.at n=46A111475
- Start with 1015 and repeatedly reverse the digits and add 4 to get the next term.at n=4A117807
- Digit sum of Fibonacci primes.at n=25A139537
- Values of 16*n^2+24*n+7, n>=0, each duplicated.at n=46A173294
- Values of 16*n^2+24*n+7, n>=0, each duplicated.at n=47A173294
- Number of 2 X n arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 2 X n array.at n=13A220205
- Smallest k such that 6^n+k, 6^n+k+g, 6^n+k+2*g are consecutive primes in arithmetic progression.at n=27A233546
- Number of compositions of n having exactly three fixed points.at n=13A240738
- Numbers k such that k!6 - 36 is prime, where k!6 is the sextuple factorial number (A085158).at n=19A289700
- L.g.f.: log(Product_{k>=1} (1 + x^k/(1 - x))) = Sum_{k>=1} a(k)*x^k/k.at n=49A307761
- Indices of primes followed by a gap (distance to next larger prime) of 36.at n=45A320716
- Triangle read by rows where T(n,k) is the number of non-isomorphic k-element multisets of nonempty multisets of nonempty multisets (all finite).at n=51A330472
- The number of edges formed by straight line segments mutually connecting all vertices of a semicircular polygon defined in A333642.at n=16A330911