2701
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
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2812
- Proper Divisor Sum (Aliquot Sum)
- 111
- 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
- 2592
- Möbius Function
- 1
- Radical
- 2701
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- 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
- 115
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Hexagonal numbers: a(n) = n*(2*n-1).at n=37A000384
- Fermat pseudoprimes to base 2, also called Sarrus numbers or Poulet numbers.at n=9A001567
- Numbers that are the sum of 7 positive 7th powers.at n=12A003374
- Pseudoprimes to base 3.at n=12A005935
- Pseudoprimes to base 6.at n=11A005937
- Coordination sequence T1 for Zeolite Code MTT.at n=32A008189
- Coordination sequence T3 for Zeolite Code PAU.at n=38A008221
- Coordination sequence T7 for Zeolite Code PAU.at n=38A008225
- a(n) = floor( binomial(n,8)/9).at n=17A011845
- a(n) = floor(binomial(n,9)/9).at n=17A011855
- Odd triangular numbers.at n=36A014493
- Numbers k giving rise to prime quadruples (30k+11, 30k+13, 30k+17, 30k+19).at n=32A014561
- a(n) = (2*n+1)*(4*n+1).at n=18A014634
- Smallest side lengths of almost-equilateral Heronian triangles (sides are consecutive positive integers, area is a nonnegative integer).at n=6A016064
- Binomial coefficients C(n,72).at n=2A017736
- Binomial coefficients C(74,n).at n=2A017790
- Numbers n such that n is a substring of its square when both are written in base 2.at n=37A018826
- Coordination sequence T2 for Zeolite Code CGF.at n=36A019452
- Fermat pseudoprimes to base 4.at n=21A020136
- Pseudoprimes to base 8.at n=36A020137