2999
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3000
- 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
- 2998
- Möbius Function
- -1
- Radical
- 2999
- 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
- 48
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 430
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of symmetrical planar partitions of n (planar partitions (A000219) that when regarded as 3-D objects have just one symmetry plane).at n=28A000784
- Smallest prime p such that there is a gap of 2n between p and previous prime.at n=13A001632
- Largest prime factor of n! - 1.at n=7A002582
- Primes of form 3*k^2 - 3*k + 23.at n=27A007637
- Coordination sequence T4 for Zeolite Code LTN.at n=38A008143
- Coordination sequence T2 for Zeolite Code MFS.at n=34A008174
- Coordination sequence T3 for Zeolite Code MTW.at n=36A008198
- Coordination sequence T6 for Zeolite Code NES.at n=35A008210
- Nine iterations of Reverse and Add are needed to reach a palindrome.at n=14A015990
- Primes that contain digits 2 and 9 only.at n=4A020460
- Numbers whose least quadratic nonresidue (A020649) is 17.at n=1A025026
- a(n) = prime(10*n).at n=42A031343
- 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 53.at n=17A031551
- Primes of form x^2+83*y^2.at n=21A033253
- Expansion of sum ( q^n / product( 1-q^k, k=1..6*n), n=0..inf ).at n=22A035298
- Smallest n-digit prime containing only digits 2 and 9, or 0 if no such prime exists.at n=3A036939
- Number of forests of rooted trees where n dollars are spent and an n-node tree costs 2n-1 dollars.at n=19A038000
- Numerators of continued fraction convergents to sqrt(191).at n=7A041354
- Denominators of continued fraction convergents to sqrt(241).at n=9A041451
- Numerators of continued fraction convergents to sqrt(717).at n=4A042380