9043
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
- 9044
- 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
- 9042
- Möbius Function
- -1
- Radical
- 9043
- 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
- 184
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1124
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 3 positive 5th powers.at n=42A003348
- n is equal to the number of 3s in all numbers <= n written in base 5.at n=14A014895
- Numbers k such that the continued fraction for sqrt(k) has period 98.at n=6A020437
- Integer part of ((4th elementary symmetric function of 2,3,...,n+4)/(2+3+...+n+4)).at n=7A024179
- 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=1A031593
- Primes with first digit 9.at n=21A045715
- Discriminants of imaginary quadratic fields with class number 15 (negated).at n=34A046012
- Let (p1,p2), (p3,p4) be pairs of twin primes with p1*p2=p3+p4-1; sequence gives values of p2.at n=16A047977
- a(n) is the first prime p from A031924 such that A052180(primepi(p)) = prime(n).at n=20A052229
- Expansion of g.f.: (1-x)/(1 - 3*x - x^2).at n=8A052924
- Primes of the form 2*k*prime(k) + 1.at n=12A062403
- Numbers n such that (26^n+1)/27 is a prime.at n=7A071380
- Define the composite field of a prime q to be f(q) = (t,s) if p, q, r are three consecutive primes and q-p = t and r-q = s. This is a sequence of primes q with field (2,6).at n=42A073650
- a(n) = 3^n + 4^n + 6^n.at n=5A074548
- a(n) = 3^n + 7^n + 9^n.at n=4A074559
- Smallest primes such that a(j) - a(k) are all different.at n=44A079848
- Vertical of triangular spiral in A051682.at n=44A081271
- Primes which are the sum of three positive 4th powers.at n=19A085318
- Primes which are the sum of three 5th powers.at n=3A085319
- p such that p^4 + q^4 = r^4 + s^4 = a(n).at n=27A088728