3001
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 4
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3002
- 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
- 3000
- Möbius Function
- -1
- Radical
- 3001
- 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
- yes
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 431
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of points of norm <= n^2 in square lattice.at n=31A000328
- Smallest primitive prime factor of Fibonacci number F(n), or 1 if F(n) has no primitive prime factor.at n=24A001578
- Artiads: the primes p == 1 (mod 5) for which Fibonacci((p-1)/5) is divisible by p.at n=16A001583
- From a Goldbach conjecture: records in A185091.at n=28A002092
- Primes of the form 2^q*3^r*5^s + 1.at n=45A002200
- Quintan primes: p = (x^5 + y^5)/(x + y).at n=9A002650
- Primes written in base 4.at n=43A004678
- Number of simple perfect squared squares of order n up to symmetry.at n=27A006983
- Coordination sequence T2 for Zeolite Code ATV.at n=35A008044
- Coordination sequence T3 for Zeolite Code BOG.at n=39A008051
- Coordination sequence T2 for Zeolite Code BPH.at n=42A008056
- Coordination sequence T1 for Zeolite Code CHA.at n=42A008066
- Coordination sequence T1 for Zeolite Code EPI.at n=34A008090
- Coordination sequence T2 for Zeolite Code NES.at n=35A008206
- Coordination sequence T8 for Zeolite Code PAU.at n=40A008226
- Numbers k such that k^2 and k have same last 3 digits.at n=13A008853
- Numbers k such that the continued fraction for sqrt(k) has period 79.at n=1A020418
- Primes that remain prime through 2 iterations of function f(x) = 7x + 6.at n=38A023259
- Primes that remain prime through 2 iterations of function f(x) = 9x + 2.at n=44A023265
- Primes that remain prime through 2 iterations of function f(x) = 9x + 8.at n=39A023267