4299
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5736
- Proper Divisor Sum (Aliquot Sum)
- 1437
- 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
- 2864
- Möbius Function
- 1
- Radical
- 4299
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 64
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of elements in Z[ sqrt(-2) ] whose 'smallest algorithm' is <= n.at n=17A006459
- Numbers k such that the continued fraction for sqrt(k) has period 50.at n=21A020389
- Coordination sequence T4 for Zeolite Code IFR.at n=46A024985
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 10 (most significant digit on right).at n=17A029503
- 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 65.at n=7A031563
- Number of partitions in parts not of the form 25k, 25k+1 or 25k-1. Also number of partitions with no part of size 1 and differences between parts at distance 11 are greater than 1.at n=37A036000
- Numbers whose base-5 representation contains exactly three 1's and three 4's.at n=1A045262
- Discriminants of imaginary quadratic fields with class number 18 (negated).at n=29A046015
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 53 ).at n=37A063326
- Start of the first run of exactly n consecutive odd composite numbers.at n=13A075067
- Average of terms of n-th row of A077321.at n=27A077325
- 4th column of number array A083075.at n=7A083079
- Numbers n such that (10^n-1)^2-2 is prime.at n=4A100903
- Row sums of correlation triangle for floor((n+3)/3).at n=32A115266
- Numbers in both A002731(n) and A002731(A002731(n)).at n=45A116945
- a(n) gives the A089840-index of the nonrecursive Catalan automorphism which is formed from A089840[n] by applying it to the left subtree of a binary tree and leaving the right-hand side subtree intact.at n=17A123694
- a(n) = Sum_{k=1..phi(n)} k*t(k), where t(k) is the k-th positive integer which is coprime to n and phi(n) is the number of positive integers which are <= n and are coprime to n.at n=37A135324
- Number of unlabeled non-mating graphs with n vertices.at n=7A141580
- Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 1100-0101-0111 pattern in any orientation.at n=10A147204
- a(n) = (4*n^3-3*n^2+5*n-3)/3.at n=14A177342