9403
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9404
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 9402
- Möbius Function
- -1
- Radical
- 9403
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 60
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1163
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = n*a(n-1) + (n-2)*a(n-2), with a(0) = 0, a(1) = 1.at n=7A000153
- Primes of the form n^2 - 6.at n=16A028880
- 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 95.at n=35A031593
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 60 ones.at n=18A031828
- Multiplicity of highest weight (or singular) vectors associated with character chi_193 of Monster module.at n=38A034581
- Numerators of continued fraction convergents to sqrt(7).at n=12A041008
- Numerators of continued fraction convergents to sqrt(28).at n=6A041044
- Numbers whose base-5 representation contains exactly three 0's and two 3's.at n=30A045201
- Discriminants of imaginary quadratic fields with class number 11 (negated).at n=32A046008
- Primes p such that a pure prime power occurs between p and the next prime.at n=46A053607
- Largest prime below prime(n)^2 (A001248).at n=24A054270
- Triangular array formed from successive differences of factorial numbers, then with factorials removed.at n=42A060475
- Primes with 2 representations: p*q*r - 1 = u*v*w + 1 where p, q, r, u, v and w are primes.at n=29A063644
- a(n) = floor((5/4)^n).at n=41A065565
- Primes of the form floor((5/4)^k).at n=9A067906
- Table T(n,k) giving number of ways of obtaining exactly 0 correct answers on an (n,k)-matching problem (1 <= k <= n).at n=33A076731
- Primes p such that both p-1 and p+1 have at most 3 prime factors, counted with multiplicity; i.e., primes p such that bigomega(p-1) <= 3 and bigomega(p+1) <= 3, where bigomega(n) = A001222(n).at n=35A079153
- Triangle T(n, k), read by row, related to Euler's difference table A068106 (divide column k of A068106 by k!).at n=38A086764
- a(n) = (1/n!)*A023043(n).at n=2A094795
- Primes of the form 47*k + 3.at n=26A100494