2099
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2100
- 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
- 2098
- Möbius Function
- -1
- Radical
- 2099
- 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
- 63
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 317
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p == 7, 19, 23 (mod 40) such that (p-1)/2 is also prime.at n=18A000353
- Number of non-stereoisomeric paraffins with n carbon atoms.at n=17A000627
- Smallest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.at n=9A002148
- Erdős-Selfridge function: a(n) is the least number m > n+1 such that the least prime factor of binomial(m, n) is > n.at n=18A003458
- Safe primes p: (p-1)/2 is also prime.at n=40A005385
- Greatest k such that binomial(k,n) has fewer than n distinct prime factors.at n=18A005735
- Prime self (or Colombian) numbers: primes not expressible as the sum of an integer and its digit sum.at n=32A006378
- Coordination sequence T1 for Zeolite Code AFS.at n=35A008023
- Coordination sequence T1 for Zeolite Code BPH.at n=35A008055
- Crystal ball sequence for planar net 3.6.3.6.at n=30A008580
- Coordination sequence T1 for Zeolite Code -CHI.at n=29A009846
- Numbers k giving rise to prime quadruples (30k+11, 30k+13, 30k+17, 30k+19).at n=26A014561
- Primes that remain prime through 2 iterations of the function f(x) = 3*x + 2.at n=25A023246
- Primes that remain prime through 2 iterations of function f(x) = 9x + 8.at n=31A023267
- [ Sum{(sqrt(j+1)-sqrt(i+1))^3} ], 1 <= i < j <= n.at n=25A025223
- Numbers that are the sum of 3 distinct nonzero squares in exactly 9 ways.at n=39A025347
- Numbers that are the sum of 4 distinct positive cubes in exactly 2 ways.at n=25A025409
- Numbers that are the sum of 4 distinct positive cubes in 2 or more ways.at n=26A025412
- Index of 10^n within the sequence of the numbers of the form 3^i*10^j.at n=44A025741
- Q(sqrt(n)) has class number 3.at n=43A029703