3023
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3024
- 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
- 3022
- Möbius Function
- -1
- Radical
- 3023
- 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
- 92
- 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
- yes
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 434
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Let A(n) = #{(i,j): i^2 + j^2 <= n}, V(n) = Pi*n, P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record.at n=26A000099
- Number of trees with n nodes, 3 of which are labeled.at n=5A000269
- Primes p == 7, 19, 23 (mod 40) such that (p-1)/2 is also prime.at n=25A000353
- Primes p == 3, 9, 11 (mod 20) such that 2p+1 is also prime.at n=40A000355
- Smallest prime == 7 (mod 8) where Q(sqrt(-p)) has class number 2n+1.at n=23A002146
- Lucasian primes: p == 3 (mod 4) with 2*p+1 prime.at n=44A002515
- Sums of successive Motzkin numbers.at n=10A005554
- Prime self (or Colombian) numbers: primes not expressible as the sum of an integer and its digit sum.at n=45A006378
- Coordination sequence T1 for Zeolite Code MEI.at n=40A008146
- Coordination sequence T1 for Zeolite Code WEI.at n=39A009917
- Smallest nonempty set S containing prime divisors of 7k+6 for each k in S.at n=47A020611
- Smallest nonempty set S containing prime divisors of 8k+3 for each k in S.at n=51A020617
- Primes that remain prime through 2 iterations of the function f(x) = 2x + 7.at n=35A023244
- Convolution of A014306 (starting 0,0,1,1,0,1,1,1,1,...) and primes.at n=42A023674
- a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A000408.at n=33A024802
- T(n,1) + T(n,2) + ... T(n,n), where T is the array in A026098.at n=16A026101
- Number of subgroups of index n of fundamental group of the non-orientable cycle bundle over the Klein bottle.at n=47A027844
- Primes of the form k^2 - 2.at n=17A028871
- 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 53.at n=21A031551
- Lower prime of a pair of consecutive primes having a difference of 14.at n=17A031932