2699
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2700
- 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
- 2698
- Möbius Function
- -1
- Radical
- 2699
- 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
- 66
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 393
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Triangle of values of 2-d recurrence.at n=66A001404
- a(n) = least value of m for which Liouville's function A002819(m) = -n.at n=49A002053
- Lucasian primes: p == 3 (mod 4) with 2*p+1 prime.at n=39A002515
- Numbers that are the sum of 5 positive 7th powers.at n=10A003372
- Primes of the form 2^a + 3^b.at n=38A004051
- Numbers that are the sum of at most 5 positive 7th powers.at n=35A004867
- Numbers that are the sum of at most 6 positive 7th powers.at n=46A004868
- Numbers n such that n, 2n+1, and 4n+3 all prime.at n=21A007700
- Coordination sequence T5 for Zeolite Code BOG.at n=37A008053
- Coordination sequence T6 for Zeolite Code MFI.at n=33A008169
- Coordination sequence T2 for Zeolite Code MTN.at n=31A008187
- A B_2 sequence: a(n) = least value such that sequence increases and pairwise sums of distinct elements are all distinct.at n=40A011185
- Odd primes such that (3p+1)/2 and 3p+4 are also prime.at n=26A014223
- Expansion of x/(1 - 7*x - 2*x^2).at n=5A015555
- Twelve iterations of Reverse and Add are needed to reach a palindrome.at n=7A015993
- Numbers k such that the continued fraction for sqrt(k) has period 58.at n=7A020397
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 4.at n=26A023253
- Primes that remain prime through 2 iterations of function f(x) = 7x + 6.at n=34A023259
- Primes that remain prime through 3 iterations of the function f(x) = 2*x + 1.at n=8A023272
- Primes that remain prime through 3 iterations of function f(x) = 7x + 6.at n=6A023290