4523
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4524
- 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
- 4522
- Möbius Function
- -1
- Radical
- 4523
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 615
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers whose square in base 2 is a palindrome.at n=3A003166
- a(n) = floor(1000*log_2(n)).at n=22A004265
- a(n) = floor( n*(n-1)*(n-2)/26 ).at n=50A011908
- Numbers k such that the continued fraction for sqrt(k) has period 50.at n=23A020389
- Primes that remain prime through 2 iterations of function f(x) = 3x + 8.at n=41A023248
- Primes that remain prime through 3 iterations of function f(x) = 9x + 2.at n=19A023296
- Convolution of natural numbers >= 3 and (Fib(2), Fib(3), Fib(4), ...).at n=12A023554
- a(n) = floor(floor(S3)/floor(S1)), where S3 and S1 are, respectively, the 3rd and first elementary symmetric functions of {sqrt(k), k = 1,2,...,n}.at n=37A025200
- 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 67.at n=4A031565
- Compare partial sums of A033881 and A033884; this is the sequence of common terms.at n=7A033944
- Primes p such that Ramanujan function tau(p) is divisible by 13.at n=37A038543
- Numerators of continued fraction convergents to sqrt(189).at n=6A041350
- Discriminants of imaginary quadratic fields with class number 21 (negated).at n=12A046018
- Primes p such that pp'-2 is prime, where p' denotes the next prime after p.at n=24A048797
- a(n) = 4*n^2 - 3*n + 1.at n=34A054552
- Primes p such that x^19 = 2 has no solution mod p.at n=28A059244
- When expressed in base 2 and then interpreted in base 7, is a multiple of the original number.at n=28A062848
- Primes with two representations: p*q*r - 2 = u*v*w + 2 where p, q, r, u, v and w are primes (not necessarily distinct).at n=33A063645
- Lonely non-twin primes: non-twins sandwiched between two pairs of twins.at n=25A068016
- Primes p such that there exists k such that p = prime(k) + prime(k+2) + prime(k+4) + prime(k+6) + prime(k+8).at n=39A068364