2371
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2372
- 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
- 2370
- Möbius Function
- -1
- Radical
- 2371
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 351
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- -1 + Sum (k-1)! C(n,k), k = 1..n for n > 0, a(0) = 1.at n=7A001338
- Number of partitions of floor(7n/2)-1 into n nonnegative integers each no greater than 7.at n=13A001980
- Representation degeneracies for Neveu-Schwarz strings.at n=19A005299
- Semiorders on n elements.at n=5A006531
- Coordination sequence T4 for Zeolite Code EMT.at n=40A008089
- Coordination sequence T2 for Zeolite Code RUT.at n=32A009898
- a(n) = prime(n*(n+1)/2).at n=25A011756
- a(n) = floor( n*(n-1)*(n-2)/25 ).at n=40A011907
- Numbers k such that the continued fraction for sqrt(k) has period 66.at n=3A020405
- Pisot sequence P(4,10).at n=7A021004
- n-th prime p(k) such that p(k) + p(k+6) = p(k+2) + p(k+4).at n=40A022891
- Primes that remain prime through 2 iterations of the function f(x) = 2x + 9.at n=43A023245
- Primes p such that p, p+6, p+12, p+18 are all primes.at n=12A023271
- Primes that remain prime through 3 iterations of function f(x) = 2x + 9.at n=8A023276
- Coordination sequence T6 for Zeolite Code MWW.at n=32A024991
- a(n) = prime(9*n).at n=38A031342
- a(n) = prime(8*n - 1).at n=43A031374
- 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=15A031545
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 32 ones.at n=5A031800
- a(n) = prime(10*n-9).at n=35A031920