4306
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6462
- Proper Divisor Sum (Aliquot Sum)
- 2156
- 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
- 2152
- Möbius Function
- 1
- Radical
- 4306
- 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
- 77
- Smith Number
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Generalized tangent numbers d_(n,2).at n=10A000176
- Number of partitions of n of the form a_1*b_1^2 + a_2*b_2^2 + ...; number of semisimple rings with p^n elements for any prime p.at n=25A004101
- Centered pentagonal numbers: (5n^2+5n+2)/2; crystal ball sequence for 3.3.3.4.4. planar net.at n=41A005891
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/27 ).at n=20A011937
- Numbers k such that the continued fraction for sqrt(k) has period 41.at n=9A020380
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = (odd natural numbers).at n=17A024473
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = (odd natural numbers).at n=16A025093
- Even numbers k such that in k^2 the parity of digits alternates.at n=42A030157
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 26 ones.at n=37A031794
- Digit sum of 'even' number equals digit sum of 'sum' and 'juxtaposition' of its prime factors (counted with multiplicity).at n=44A036926
- Numerators of continued fraction convergents to sqrt(222).at n=4A041414
- Coordination sequence T1 for Zeolite Code AEN.at n=41A047950
- Coordination sequence T3 for Zeolite Code AEN.at n=41A047952
- Number of colors that can be mixed with up to n units of yellow, blue, red.at n=30A048134
- Numbers k such that phi(k-1) < phi(k) < phi(k+1), where phi is the Euler totient function (A000010).at n=35A078776
- An "L" digit is a digit "looking to the Left" (1,2,3,7,9); an "R" digit is a digit "looking to the Right" (4,5,6); an "U" digit is a digit "looking at Us" (0,8). This is the slowest increasing sequence showing the infinite pattern [LUR] (when read digit-by-digit).at n=49A093104
- Number of squares on infinite quarter chessboard at <=n knight moves from the corner.at n=35A098500
- Assume the conjectured terms of A105594 are the correct beginnings of the trajectories described in A003508. a(n) is a record length of b(n) iterations to arrive at the collected trajectories. This sequence cites the a(n)'s.at n=12A105600
- Numbers k such that the numerator of Bernoulli(k)/k is (apart from sign) prime.at n=14A112548
- Numbers n such that numerator of Bernoulli(n)/n is (apart from sign) 1 or a prime.at n=21A119766