7523
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7524
- 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
- 7522
- Möbius Function
- -1
- Radical
- 7523
- 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
- 39
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 953
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that remain prime through 3 iterations of function f(x) = 3x + 4.at n=7A023278
- 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 85.at n=28A031583
- Primes which are not the sum of consecutive composite numbers.at n=31A037174
- Largest prime associated with A053095(n), or zero if no such prime exists.at n=3A053161
- Primes with every digit a prime and the sum of the digits a prime.at n=33A062088
- a(n) = floor((5/4)^n).at n=40A065565
- Primes of the form floor((5/4)^k).at n=8A067906
- a(1) = 2; a(n) = largest prime not exceeding the sum of all previous terms.at n=13A070805
- a(1) = 5; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=45A074340
- Safe primes (A005385) (p and (p-1)/2 are primes) such that 6*p+1 is also prime.at n=30A075705
- Class 6- primes (for definition see A005109).at n=15A081425
- Prime-indexed primes (PIPs) whose digits are all primes.at n=7A087368
- a(n) = largest prime such that any n consecutive digits gives a distinct prime.at n=0A090742
- Value of C in y = x^2 + 5x + C such that y is prime for all x = 0 to 3.at n=25A097434
- Primes of the form 47*k + 3.at n=20A100494
- Indices of primes in sequence defined by A(0) = 19, A(n) = 10*A(n-1) - 31 for n > 0.at n=17A102021
- Primes that are either single-digit primes or a concatenation of two earlier terms.at n=25A104179
- Primes with at least one of each prime digit.at n=7A108419
- Primes whose SOD and that of their indices are both prime and equal (indices may not be prime, but their SOD must be prime).at n=31A117477
- Primes with distinct prime digits.at n=17A124674