5323
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5324
- 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
- 5322
- Möbius Function
- -1
- Radical
- 5323
- 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
- 54
- 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
- 705
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=46A001133
- Where the prime race among 5k+1, ..., 5k+4 changes leader.at n=25A007353
- Primes of form 2n^2 - 2n + 19.at n=39A007639
- From table of maximal epacts e(p) and corresponding primes p, for x_1=2, x_{m+1} = (x_m)^2+1; sequence gives p.at n=24A014424
- Primes whose digits are primes; primes having only {2, 3, 5, 7} as digits.at n=44A019546
- Numbers k such that the continued fraction for sqrt(k) has period 50.at n=30A020389
- Primes of the form n^2 - 6.at n=12A028880
- Smallest prime formed by appending a number to the n-th prime.at n=15A030670
- 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 71.at n=24A031569
- Lower prime of a difference of 10 between consecutive primes.at n=68A031928
- Upper prime of a difference of 14 between consecutive primes.at n=29A031933
- Floor( 7*n^2/2 ).at n=39A032525
- Number of partitions of n such that cn(0,5) = cn(2,5) <= cn(1,5) = cn(3,5) = cn(4,5).at n=69A036855
- Discriminants of imaginary quadratic fields with class number 15 (negated).at n=20A046012
- Triangle of numbers a(n,k) = number of Young tableaux with n cells and k rows (1 <= k <= n); also number of self-inverse permutations on n letters in which the length of the longest scattered (i.e., not necessarily contiguous) increasing subsequence is k.at n=60A047884
- Primes whose consecutive digits differ by 1 or 2.at n=47A048413
- Starting index of a string of 4 or more consecutive equal digits in decimal expansion of Pi.at n=7A049516
- Starting index of a string of exactly 4 consecutive equal digits in decimal expansion of Pi.at n=4A049520
- Least prime in A031928 (lesser of 10-twins) whose distance to the next 10-twin is 6*n.at n=41A052354
- Primes p such that a pure prime power occurs between p and the next prime.at n=39A053607