2341
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2342
- 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
- 2340
- Möbius Function
- -1
- Radical
- 2341
- 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
- 58
- 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
- 347
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n in which no parts are multiples of 3.at n=34A000726
- Primes with 7 as smallest primitive root.at n=22A001126
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=29A001133
- Concatenations of cyclic permutations of initial positive integers.at n=7A001292
- Class 4+ primes (for definition see A005105).at n=44A005108
- Primes p such that (p+1)/2 is prime.at n=37A005383
- Centered triangular numbers: a(n) = 3*n*(n-1)/2 + 1.at n=39A005448
- Truncated square numbers: 7*n^2 + 4*n + 1.at n=18A005892
- Primes of the form 2*k^2 + 29.at n=31A007641
- Prime(n)*...*a(n) is the least product of consecutive primes which is non-deficient.at n=13A007686
- Smallest odd number expressible in at least n ways as p+2*m^2 where p is 1 or a prime and m >= 0.at n=25A007697
- Smallest odd number expressible in at least n ways as p+2*m^2 where p is 1 or a prime and m >= 0.at n=26A007697
- Prime(n)*...*a(n) is the least product of consecutive primes which is abundant.at n=13A007708
- Coordination sequence T4 for Zeolite Code EUO.at n=30A008099
- Coordination sequence T2 for Zeolite Code MFS.at n=30A008174
- Coordination sequence T2 for Zeolite Code RTE.at n=33A009891
- Coordination sequence T3 for Zeolite Code RTE.at n=33A009892
- Coordination sequence T2 for Zeolite Code VNI.at n=30A009908
- Number of partitions of n into distinct parts, none being 8.at n=49A015755
- Consider all ways of writing a number as p+2m^2 where p is 1 or a prime and m >= 0; sequence gives numbers that are expressible in at least 2 more ways than any smaller number.at n=3A016067