2039
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2040
- 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
- 2038
- Möbius Function
- -1
- Radical
- 2039
- 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
- 63
- 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
- yes
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 309
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 7 as smallest primitive root.at n=16A001126
- Lucasian primes: p == 3 (mod 4) with 2*p+1 prime.at n=32A002515
- Safe primes p: (p-1)/2 is also prime.at n=38A005385
- Continued fraction for Sum_{k >= 2} 2^(-Fibonacci(k)).at n=13A006518
- Coordination sequence T3 for Zeolite Code EMT.at n=37A008088
- Coordination sequence T2 for Zeolite Code PAU.at n=33A008220
- Coordination sequence T7 for Zeolite Code PAU.at n=33A008225
- Coordination sequence T3 for Zeolite Code TON.at n=28A008243
- Largest prime <= 2^n.at n=10A014234
- Expansion of Molien series for automorphism group (2.Weyl(E6)) of E6 lattice.at n=42A014977
- Numbers k such that the continued fraction for sqrt(k) has period 44.at n=10A020383
- Number of solutions to c(1)*prime(4) + ... + c(n)*prime(n+3) = 2, where c(i) = +-1 for i > 1, c(1) = 1.at n=19A022920
- Primes p such that 3*p + 4 and 9*p + 16 are also prime.at n=29A023247
- Primes that remain prime through 2 iterations of function f(x) = 6x + 7.at n=33A023258
- Primes that remain prime through 2 iterations of function f(x) = 10x + 9.at n=35A023270
- Convolution of A023532 and A001950.at n=43A023603
- Numbers whose least quadratic nonresidue (A020649) is 7.at n=29A025023
- Palindromic primes in base 16 (or hexadecimal), but written here in base 10.at n=23A029732
- a(n+1) = Sum_{k = 0..floor(2*n/3)} a(k)*a(n-k) for n >= 0 with a(0) = 1.at n=12A030033
- Binary expansion contains a single 0.at n=52A030130