310
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 4
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 576
- Proper Divisor Sum (Aliquot Sum)
- 266
- 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
- 120
- Möbius Function
- -1
- Radical
- 310
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 86
- Smith 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
Names
- German
- dreihundertzehn· ordinal: dreihundertzehnste
- English
- three hundred ten· ordinal: three hundred tenth
- Spanish
- trescientos diez· ordinal: 310º
- French
- trois cent dix· ordinal: trois cent dixième
- Italian
- trecentodieci· ordinal: 310º
- Latin
- trecenti decem· ordinal: 310.
- Portuguese
- trezentos e dez· ordinal: 310º
Appears in sequences
- Number of partitions into non-integral powers.at n=11A000148
- Number of asymmetric trees with n nodes (also called identity trees).at n=14A000220
- Expansion of g.f. Product_{k >= 1} (1 - x^k)^(-k*(k+1)/2).at n=7A000294
- Number of monosubstituted alkanes C(n-1)H(2n-1)-X with n-1 carbon atoms that are not stereoisomers.at n=13A000621
- Alkyl naphthalenes C_{n+10} H_{2n+8} with n+10 carbon atoms.at n=5A000647
- One half of number of non-self-conjugate partitions; also half of number of asymmetric Ferrers graphs with n nodes.at n=20A000701
- a(n) is the solution to the postage stamp problem with n denominations and 4 stamps.at n=8A001214
- a(n) is the number of partitions of n into at most 3 parts; also partitions of n+3 in which the greatest part is 3; also number of unlabeled multigraphs with 3 nodes and n edges.at n=58A001399
- Winning moves in Fibonacci nim.at n=55A001581
- Fibonacci entry points: a(n) = smallest m > 0 such that the n-th prime divides Fibonacci(m).at n=63A001602
- 2nd differences are periodic.at n=13A002082
- Numbers of the form (p^2 - 49)/120 where p is prime.at n=21A002382
- Numbers k such that (k^2 + k + 1)/21 is prime.at n=16A002644
- a(n) = Sum_{d|n, d <= 3} d^2 + 3*Sum_{d|n, d>3} d.at n=62A002660
- The square sieve.at n=29A002960
- Self numbers or Colombian numbers (numbers that are not of the form m + sum of digits of m for any m).at n=33A003052
- A nonlinear recurrence.at n=23A003073
- a(2*n) = floor( 17*2^n/14 ), a(2*n+1) = floor( 12*2^n/7 ).at n=16A003143
- Numbers that are the sum of 10 positive 4th powers.at n=34A003344
- Numbers that are the sum of 6 positive 5th powers.at n=9A003351