5023
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5024
- 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
- 5022
- Möbius Function
- -1
- Radical
- 5023
- 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
- 90
- 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
- 674
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T10 for Zeolite Code MFI.at n=45A008162
- Numbers k such that the continued fraction for sqrt(k) has period 96.at n=5A020435
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 1 and a(1) = 6.at n=15A022320
- Primes that remain prime through 2 iterations of function f(x) = 8x + 9.at n=36A023264
- Primes that remain prime through 3 iterations of function f(x) = 8x + 9.at n=3A023295
- a(n) = floor(2nd elementary symmetric function of Sum_{j=1..k} 1/j, k = 1,2,...,n).at n=30A025212
- a(n) = sum of the numbers between the two n's in A026370.at n=36A026373
- Primes such that in p^2 the parity of digits alternates.at n=34A030145
- 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 69.at n=26A031567
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 38 ones.at n=19A031806
- Lower prime of a pair of consecutive primes having a difference of 16.at n=16A031934
- Largest prime < n!-1.at n=4A037154
- Primes with first digit 5.at n=21A045711
- a(1) = 7; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=40A046257
- Pisot sequence L(8,9).at n=22A048590
- Discriminants of imaginary quadratic fields with class number 25 (negated).at n=6A056987
- Primes p such that x^31 = 2 has no solution mod p.at n=17A059225
- Primes containing 2k digits in which the sum of the first k digits is that of the last k digits.at n=26A068896
- Primes for which the three closest primes are smaller.at n=34A074982
- Numbers k such that A068340(k)=+/-4.at n=3A077032