2347
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2348
- 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
- 2346
- Möbius Function
- -1
- Radical
- 2347
- 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
- 107
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 348
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=30A001133
- a(n+1) = 1 + a( floor(n/1) ) + a( floor(n/2) ) + ... + a( floor(n/n) ).at n=27A003318
- Number of Twopins positions.at n=40A005686
- Prime self (or Colombian) numbers: primes not expressible as the sum of an integer and its digit sum.at n=34A006378
- Prime(n)*...*prime(a(n)) is the least product of consecutive primes that is non-deficient.at n=32A007684
- Prime(n)*...*prime(a(n)) is the least product of consecutive primes which is abundant.at n=32A007707
- Coordination sequence T4 for Zeolite Code DOH.at n=30A008081
- Coordination sequence T3 for Zeolite Code MTT.at n=30A008191
- Numbers k such that the continued fraction for sqrt(k) has period 66.at n=2A020405
- Smallest nonempty set S containing prime divisors of 9k+8 for each k in S.at n=49A020630
- Place where n-th 1 occurs in A023133.at n=38A022795
- Primes that remain prime through 2 iterations of function f(x) = 4x + 3.at n=32A023250
- Primes that remain prime through 2 iterations of function f(x) = 6x + 1.at n=26A023256
- Primes that remain prime through 2 iterations of function f(x) = 10x + 3.at n=44A023269
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5,..., 1/(2n-1)} satisfy r < s, then r < k/m < s for some integer k.at n=39A024819
- Euler transform of 3 2 1 1 1 1 1 1...at n=13A029859
- a(n) = prime(10*n - 2).at n=34A031384
- a(n) = prime(9*n - 3).at n=38A031390
- a(n) = prime(8*n - 4).at n=43A031395
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 47.at n=12A031545