4705
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5652
- Proper Divisor Sum (Aliquot Sum)
- 947
- 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
- 3760
- Möbius Function
- 1
- Radical
- 4705
- 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
- 59
- 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 irreducible polyhedral graphs with n nodes.at n=9A006866
- Coordination sequence T6 for Zeolite Code DDR.at n=43A008076
- Coordination sequence T1 for Zeolite Code GOO.at n=47A008111
- Number of ordered 5-tuples of integers from [ 2,n ] with no common factors among triples.at n=15A015657
- Strong pseudoprimes to base 97.at n=10A020323
- Numbers k such that 75*2^k+1 is prime.at n=30A032387
- Numbers whose set of base-8 digits is {1,4}.at n=32A032820
- Numbers having four 1's in base 8.at n=13A043428
- Numbers that are sums of 2 or more consecutive squares in more than 1 way.at n=8A062681
- Numbers having exactly six anti-divisors.at n=30A066472
- a(n) = (prime(n)^2 + 1)/2.at n=23A066885
- a(1)=7; a(n),a(n+1) are smallest > a(n-1) such that a(n-1)^2+a(n)^2=a(n+1)^2.at n=8A077035
- Downward vertical of triangular spiral in A051682.at n=16A081272
- Class numbers of fields in A085715.at n=17A085716
- a(n) is the largest number such that all of a(n)'s length-n substrings are distinct and divisible by 47.at n=2A093247
- a(0)=0 and for n>0, a(n) is the smallest positive integer that cannot be derived by the adding or subtracting at most three terms with values in {a(0),...,a(n-1)} allowing repeats.at n=40A096077
- Least hypotenuse of primitive Pythagorean triangles with odd leg 2n+1.at n=47A096891
- a(n) = 8*n^2 + 4*n + 1.at n=24A102083
- Triangle read by rows: odd-numbered rows of A106580.at n=53A106595
- Least k such that prime(n)^2 divides binomial(2k,k).at n=24A110494