2311
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2312
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 2310
- Möbius Function
- -1
- Radical
- 2311
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 151
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 344
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Squares written in base 7.at n=28A002440
- Squares written in base 8.at n=34A002441
- Largest prime factor of 1 + (product of first n primes).at n=4A002585
- Number of connected functions (or mapping patterns) on n unlabeled points, or number of rings and branches with n edges.at n=9A002861
- Number of partitions of n into parts 5k+1 or 5k+4.at n=58A003114
- Primes written in base 4.at n=41A004678
- Number of factorization patterns of polynomials of degree n over F_3.at n=16A006168
- Number of n-element posets which are unions of 2 chains.at n=9A006251
- Euclid numbers: 1 + product of the first n primes.at n=5A006862
- Coordination sequence T3 for Zeolite Code TON.at n=30A008243
- Expansion of (1+x^11)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=55A008772
- Coordination sequence T2 for Zeolite Code VET.at n=29A009903
- Values of k at which the period of the continued fraction for sqrt(k) sets a new record.at n=30A013645
- Primorial primes: primes of the form 1 + product of first k primes, for some k.at n=5A018239
- From George Gilbert's marks problem: jumping 7 marks at a time (final positions).at n=8A019998
- Ceiling of Gamma(n+1/4)/Gamma(1/4).at n=8A020132
- Numbers k such that the continued fraction for sqrt(k) has period 96.at n=0A020435
- Primes that remain prime through 2 iterations of function f(x) = 7x + 6.at n=30A023259
- Primes that remain prime through 2 iterations of the function f(x) = 8*x + 5.at n=19A023262
- Primes that remain prime through 3 iterations of function f(x) = 8x + 5.at n=5A023293