4580
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
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9660
- Proper Divisor Sum (Aliquot Sum)
- 5080
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1824
- Möbius Function
- 0
- Radical
- 2290
- 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
- Related to zeros of Bessel function.at n=6A000175
- Number of solid partitions of n supported on graph of cube.at n=20A003404
- Number of Dyck paths of knight moves.at n=13A005221
- 7th-order maximal independent sets in path graph.at n=55A007381
- Numbers k that divide 4^k + 4.at n=11A015889
- Pseudoprimes to base 61.at n=39A020189
- a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A000408.at n=41A024802
- Coordination sequence T1 for Zeolite Code MWW.at n=45A024986
- Expansion of (theta_3(z)*theta_3(11z) + theta_2(z)*theta_2(11z))^3.at n=33A028611
- a(n+1) = a(n) + a(n-1) + Fibonacci(n), with a(0) = 0 and a(1) = 1.at n=15A029907
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+9 or 24k-9. Also number of partitions in which no odd part is repeated, with at most 4 parts of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=42A036033
- a(n) = a(n-1)+a(m), where m=2n-2-2^(p+1) and 2^p<n-1<=2^(p+1), for n >= 4.at n=26A050071
- Number of irreducible representations of the symmetric group S_n that have even degree.at n=29A060368
- a(n) = a(n-1) + a(n - 1 minus the number of terms of a(k) == (mod 4) so far).at n=27A060731
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 81 ).at n=24A063354
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 87 ).at n=22A063360
- Consider the sequence b(k) such that b(k) and sigma(b(k)) end with the same digit in base 10. Sequence gives values of b(k) such that b(k)/k = 10.at n=6A065255
- Number of primes between prime(n) and prime(n)^2.at n=46A079047
- Nearest integer to 1/(Sum_{k>=n} 1/k^4).at n=11A083559
- Least k such that Mersenne-prime(n)*2^k+1 is prime (A000668(n)*2^k+1).at n=18A098471