306
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 702
- Proper Divisor Sum (Aliquot Sum)
- 396
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 96
- Möbius Function
- 0
- Radical
- 102
- 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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 37
- Smith 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
Names
- German
- dreihundertsechs· ordinal: dreihundertsechsste
- English
- three hundred six· ordinal: three hundred sixth
- Spanish
- trescientos seis· ordinal: 306º
- French
- trois cent six· ordinal: trois cent sixième
- Italian
- trecentosei· ordinal: 306º
- Latin
- trecenti sex· ordinal: 306.
- Portuguese
- trezentos e seis· ordinal: 306º
Appears in sequences
- a(n) = n^2*Product_{p|n} (1 + 1/p).at n=16A000082
- Nearest integer to modified Bessel function K_n(2).at n=7A000167
- Smallest nonnegative number that is the sum of 3 squares in exactly n ways.at n=6A000437
- Smallest number that is the sum of 3 squares in at least n ways.at n=6A000451
- Dimensions (sorted, with duplicates removed) of real simple Lie algebras.at n=61A001066
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 20, 50 cents.at n=44A001313
- Winning moves in Fibonacci nim.at n=54A001581
- a(n) = floor(Pi^n).at n=5A001672
- Number of transitive permutation groups of degree n.at n=38A002106
- MacMahon's generalized sum of divisors function.at n=11A002127
- Nearest integer to Pi^n.at n=5A002160
- Numbers m such that 3*2^m - 1 is prime.at n=20A002235
- Oblong (or promic, pronic, or heteromecic) numbers: a(n) = n*(n+1).at n=17A002378
- Quarter-squares: a(n) = floor(n/2)*ceiling(n/2). Equivalently, a(n) = floor(n^2/4).at n=35A002620
- a(n) = Sum_{d|n, d <= 4} d^2 + 4*Sum_{d|n, d>4} d.at n=44A002791
- a(n) = 2*n*(2*n-1).at n=9A002939
- Numbers that are the sum of 6 positive 4th powers.at n=22A003340
- Numbers that are the sum of 11 positive 4th powers.at n=36A003345
- Number of Hamiltonian cycles in C_4 X P_n.at n=4A003699
- a(n) = ceiling(n*phi^6), where phi is the golden ratio.at n=17A004961