5306
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9120
- Proper Divisor Sum (Aliquot Sum)
- 3814
- 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
- 2268
- Möbius Function
- -1
- Radical
- 5306
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 28
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^8 in powers of x.at n=24A001486
- Number of paraffins.at n=27A005998
- Coordination sequence T4 for Zeolite Code EUO.at n=45A008099
- Coordination sequence T2 for Zeolite Code MFS.at n=45A008174
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite VNI = VPI-9 Rb44K4[Zn24Si96O240].48H2O starting with a T3 atom.at n=12A019256
- a(n) = [ a(n-1)/a(1) + a(n-1)/a(2) + ... + a(n-1)/a(n-1) ] for n >= 3, with initial terms 1,2.at n=12A022861
- a(n) = [ a(n-1)/a(1) + a(n-1)/a(2) + ... + a(n-1)/a(n-1) ] for n >= 3, with initial terms 2,2.at n=13A022867
- Expansion of 1/((1-2x)(1-3x)(1-8x)(1-11x)).at n=3A025950
- (d(n)-r(n))/5, where d = A006527 and r is the periodic sequence with fundamental period (4,1,4,0,1).at n=41A026036
- Expansion of 1/((1-3x)(1-5x)(1-8x)(1-9x)).at n=3A028064
- T(n,n-4), where T is the array in A055830.at n=27A055831
- Interprimes which are of the form s*prime, s=14.at n=10A075289
- Sum of squares of numbers that can be written as t*n + u*(n+1) for nonnegative integers t,u in exactly two ways.at n=2A076461
- Numbers k such that k*primorial(2473)-1 is prime.at n=40A087832
- a(n) = round(10000*log(n/10)).at n=16A104077
- Diagonal sums of correlation triangle for (1+x)^3/(1-x).at n=33A115294
- Numbers such that n^2 = 29 mod 1193.at n=8A165989
- Number of obtuse triangles, distinct up to congruence, on an n X n grid (or geoboard).at n=14A190022
- 0-sequence of reduction of (2n) by x^2 -> x+1.at n=12A192305
- Number of distinct values of the sum of i*(i-1) over 6 realizations of i in 0..n.at n=43A225286