3089
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
- 3090
- 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
- 3088
- Möbius Function
- -1
- Radical
- 3089
- 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
- 35
- 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
- 442
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/4.at n=20A001134
- a(n) is the number of partitions of 2n that can be obtained by adding together two (not necessarily distinct) partitions of n.at n=13A002219
- Number of points on surface of tricapped prism: a(n) = 7*n^2 + 2 for n > 0, a(0)=1.at n=21A005919
- From relations between Siegel theta series.at n=39A006476
- Primes p == 1 (mod 8), p = a^2 + 64*b^2 such that y^2 = x^3 + p*x has rank 2.at n=38A007766
- Coordination sequence T2 for Zeolite Code DOH.at n=34A008079
- "Pascal sweep" for k=7: draw a horizontal line through the 1 at C(k,0) in Pascal's triangle; rotate this line and record the sum of the numbers on it (excluding the initial 1).at n=65A009504
- Coordination sequence T3 for Zeolite Code -CHI.at n=35A009848
- Numbers k such that the continued fraction for sqrt(k) has period 53.at n=2A020392
- Primes that remain prime through 2 iterations of function f(x) = 6x + 7.at n=41A023258
- Discriminants of quintic fields with 4 complex conjugates.at n=9A023685
- [ Sum (s(j) - s(i))^3 ], 1 <= i < j <= n, where s(k) = 1 + 1/2 + ... + 1/k.at n=46A025217
- Primes of the form k^2 + k + 9.at n=9A027758
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 24 ones.at n=28A031792
- Lower prime of a difference of 20 between consecutive primes.at n=2A031938
- Primes of form x^2+53*y^2.at n=32A033234
- Primes of form x^2+61*y^2.at n=30A033239
- a(n) = a(n-1) + prime(n-1), with a(1)=2.at n=40A036439
- Coordination sequence T3 for Zeolite Code ESV.at n=37A038412
- Numerators of continued fraction convergents to sqrt(413).at n=4A041784