2749
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2750
- 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
- 2748
- Möbius Function
- -1
- Radical
- 2749
- 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
- 40
- 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
- 401
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 6 as smallest primitive root.at n=23A001125
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=31A001133
- Prime numbers of measurement.at n=48A002049
- Related to representations as sums of Fibonacci numbers.at n=43A006133
- Next prime after n^3.at n=14A014220
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11).at n=38A017842
- Numbers k such that the continued fraction for sqrt(k) has period 63.at n=3A020402
- Fibonacci sequence beginning 5, 16.at n=12A022140
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 24 ones.at n=22A031792
- a(n) = prime(10*n-9).at n=40A031920
- Upper prime of a difference of 8 between consecutive primes.at n=36A031927
- Primes of form x^2+29*y^2.at n=28A033219
- Primes of form x^2+53*y^2.at n=30A033234
- Primes of form x^2+59*y^2.at n=17A033238
- Primes of form x^2+69*y^2.at n=20A033244
- Primes of form x^2+87*y^2.at n=28A033256
- Primes p such that (p-3)/2 is a prime of the form 6k-1.at n=39A034938
- Smallest prime congruent to 1 (mod prime(n)).at n=49A035095
- a(n) = a(n-1) + prime(n-1), with a(1)=2.at n=38A036439
- Primes with indices that are primes with prime indices.at n=21A038580