2579
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2580
- 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
- 2578
- Möbius Function
- -1
- Radical
- 2579
- 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
- 146
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 376
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p == 7, 19, 23 (mod 40) such that (p-1)/2 is also prime.at n=22A000353
- Numbers that are the sum of 12 positive 7th powers.at n=16A003379
- Record values in A005210.at n=52A005211
- Safe primes p: (p-1)/2 is also prime.at n=44A005385
- Numbers k such that (15^k - 1)/14 is prime.at n=4A006033
- Odd numbers not of form p + 2^k (de Polignac numbers).at n=58A006285
- Expansion of (1+x^4)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=54A008765
- Numbers k such that the continued fraction for sqrt(k) has period 34.at n=23A020373
- Primes that remain prime through 2 iterations of the function f(x) = 2x + 9.at n=46A023245
- Primes p such that 3*p + 4 and 9*p + 16 are also prime.at n=32A023247
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 4.at n=24A023253
- Primes that are palindromic in base 5.at n=20A029973
- a(n) = prime(9*n - 2).at n=41A031383
- 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 49.at n=16A031547
- a(n) = prime(10*n - 4).at n=37A031905
- Lower prime of a difference of 12 between consecutive primes.at n=24A031930
- a(n) = floor( exp(n) / Pi ).at n=9A032638
- Numbers with the property that all pairs of consecutive base-5 digits differ by more than 2.at n=37A032982
- Primes of the form x^2+74*y^2.at n=14A033248
- Primes of form x^2+79*y^2.at n=36A033251