4598
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 7980
- Proper Divisor Sum (Aliquot Sum)
- 3382
- 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
- 1980
- Möbius Function
- 0
- Radical
- 418
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 152
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T1 for Zeolite Code SGT.at n=42A008229
- Partial sums of A001935; at one time this was conjectured to agree with A007478.at n=29A014605
- a(n) = Sum_{k=1..n} (n-k) * floor(n/k).at n=38A024920
- G:=1/product((1-x^(3k-2))*(1-x^(3k-1))^2*(1-x^(3k))^3,k=1..infinity).at n=18A029864
- 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 66.at n=21A031564
- Coordination sequence T3 for Zeolite Code STT.at n=45A038426
- Numbers whose base-3 representation contains exactly three 0's and no 1's.at n=37A044980
- Numbers n such that 251*2^n-1 is prime.at n=3A050884
- Numbers k such that k | sigma_5(k).at n=29A055709
- Sum_{k<=n} (sigma(k)^2), where sigma(k) denotes the sum of the divisors of k A000203.at n=16A072379
- Trajectory of n under the Reverse and Add! operation carried out in base 4 (presumably) does not reach a palindrome and (presumably) does not join the trajectory of any term m < n.at n=19A075421
- a(n) = smallest k such that the base 4 Reverse and Add! trajectory of A075421(n) joins the trajectory of k.at n=19A091676
- For a string of letters of length k, say abc...def, let f(k) be the string of length k-1 consisting of the adjacent pairs ab, bc, cd, ..., de, ef. Given n, let U be the string of length 2n consisting of n 1's followed by n 2's: 11...122...2. Then a(n) is the number of the C(2n,n) permutations V of U such that f(U) and f(V) agree in exactly one place.at n=8A098813
- Number of partitions of n into parts free of odd octagonal (star) numbers: k(3k-2) and the only number with multiplicity in the unrestricted partitions is the number 2 with multiplicity of the form :4k+2l, k a positive integer and l=0,1.at n=54A100928
- k's first occurrence in A102932.at n=39A101255
- Sum of ordered 3 prime sided prime triangles.at n=22A105100
- Number of distinct representations of 8n^3 as the sum of two primes.at n=48A116981
- Determinants of 2 X 2 matrices of non-overlapping blocks of 4 consecutive primes.at n=22A117027
- Positive integers k such that sopfr(k) divides sopfr(k+1), where sopfr(k) is the sum of the prime factors of k, counting multiplicity.at n=41A129316
- Number of physical trees of alkane structures with n carbon vertices.at n=7A135106