2671
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2672
- 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
- 2670
- Möbius Function
- -1
- Radical
- 2671
- 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
- 45
- 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
- 387
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Expansion of exp(-x) / (1 - exp(x) + exp(-x)).at n=5A000556
- Primes with 7 as smallest primitive root.at n=25A001126
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=16A001136
- Coordination sequence T2 for Zeolite Code AFO.at n=34A008016
- Values of k at which the period of the continued fraction for sqrt(k) sets a new record.at n=32A013645
- Odd primes such that (3p+1)/2 and 3p+4 are also prime.at n=25A014223
- Place where n-th 1 occurs in A023127.at n=46A022789
- Primes that remain prime through 2 iterations of the function f(x) = 2x + 9.at n=48A023245
- Primes that remain prime through 2 iterations of function f(x) = 4x + 3.at n=36A023250
- Primes that remain prime through 2 iterations of function f(x) = 9x + 10.at n=46A023268
- Primes p such that p, p+6, p+12, p+18 are all primes.at n=13A023271
- Primes that remain prime through 3 iterations of function f(x) = 4x + 3.at n=11A023281
- Primes that remain prime through 3 iterations of function f(x) = 9x + 10.at n=17A023299
- Least m such that if r and s in {1/2, 1/5, 1/8,..., 1/(3n-1)}, satisfy r < s, then r < k/m < s for some integer k.at n=34A024823
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=31A024840
- a(n) = prime(10*n-3).at n=38A031391
- 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 51.at n=7A031549
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 40 ones.at n=4A031808
- Lucky numbers with size of gaps equal to 18 (lower terms).at n=18A031900
- Upper prime of a difference of 8 between consecutive primes.at n=34A031927