3011
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3012
- 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
- 3010
- Möbius Function
- -1
- Radical
- 3011
- 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
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 432
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of ways to pair up {1^2, 2^2, ..., (2n)^2 } so sum of each pair is prime.at n=10A000348
- Numbers n such that (10^n + 1)/11 is a prime.at n=9A001562
- a(n) = 10000*log_10(n) rounded up.at n=1A004230
- Cubes written in base 9.at n=12A004639
- Primes written in base 4.at n=44A004678
- Numbers k such that 4!*(2k-5)!/(k!*(k-1)!) is an integer.at n=23A004784
- 5!(2n-6)!/n!(n-1)! is an integer.at n=28A004785
- Reflectable emirps.at n=12A007628
- Coordination sequence T1 for Zeolite Code BOG.at n=39A008049
- Coordination sequence T4 for Zeolite Code BOG.at n=39A008052
- Coordination sequence T2 for Cordierite.at n=33A008252
- Coordination sequence T1 for Zeolite Code -CLO.at n=48A009850
- Numbers k such that the continued fraction for sqrt(k) has period 58.at n=9A020397
- Primes that remain prime through 2 iterations of function f(x) = 9x + 4.at n=39A023266
- Primes that remain prime through 3 iterations of function f(x) = 9x + 4.at n=13A023297
- a(n) = [ Sum{(log(j)-log(i))^3} ], 2 <= i < j <= n.at n=49A025207
- Sequence satisfies T^2(a)=a, where T is defined below.at n=47A027590
- 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=19A031551
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 26 ones.at n=20A031794
- Lower prime of a difference of 8 between consecutive primes.at n=40A031926