3019
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3020
- 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
- 3018
- Möbius Function
- -1
- Radical
- 3019
- 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
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 433
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p of the form 3k+1 such that sum_{x=1..p} cos(2*Pi*x^3/p) < -sqrt(p).at n=41A000923
- From relations between Siegel theta series.at n=38A006476
- Coordination sequence T9 for Zeolite Code MFI.at n=35A008172
- Coordination sequence T2 for Zeolite Code RTH.at n=38A009894
- Smallest positive number that can be written as sum of distinct Fibonacci numbers in n ways.at n=49A013583
- Values of k at which the period of the continued fraction for sqrt(k) sets a new record.at n=34A013645
- Ordered sequence of distinct terms of the form floor(Pi^i * floor(Pi^j)), i, j >= 0.at n=21A022767
- n-th prime p(k) such that p(k) + p(k+9) = p(k+3) + p(k+6).at n=36A022893
- Primes that remain prime through 2 iterations of the function f(x) = 3*x + 2.at n=34A023246
- Primes that remain prime through 2 iterations of function f(x) = 9x + 8.at n=40A023267
- Primes that remain prime through 3 iterations of function f(x) = 5x + 6.at n=17A023285
- Primes that remain prime through 4 iterations of function f(x) = 5*x + 6.at n=4A023315
- Primes of the form n^2 - 6.at n=9A028880
- Palindromic primes in base 16 (or hexadecimal), but written here in base 10.at n=32A029732
- Positions of record values in A030787.at n=50A030792
- 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=20A031551
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 48 ones.at n=0A031816
- Upper prime of a difference of 8 between consecutive primes.at n=40A031927
- Positions of the incrementally largest terms in the continued fraction expansion of zeta(3), offset 1 variant.at n=10A033167
- Primes of form x^2+35*y^2.at n=31A033224