2879
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2880
- 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
- 2878
- Möbius Function
- -1
- Radical
- 2879
- 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
- 128
- 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
- 417
- 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=27A001126
- From a Goldbach conjecture: records in A185091.at n=27A002092
- Safe primes p: (p-1)/2 is also prime.at n=46A005385
- Smallest number of complexity n: smallest number requiring n 1's to build using + and *.at n=26A005520
- Primes of form n^2 + n + 17.at n=38A007635
- Coordination sequence T1 for Zeolite Code MTT.at n=33A008189
- Coordination sequence T1 for Scapolite.at n=34A008262
- Coordination sequence T1 for Zeolite Code DFO.at n=41A009875
- Twelve iterations of Reverse and Add are needed to reach a palindrome.at n=9A015993
- Powers of fourth root of 3 rounded up.at n=29A018053
- Expansion of 1/((1-4x)(1-5x)(1-10x)).at n=3A018912
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite RTH = RUB-13 [B2Si30O64].2R starting with a T3 atom.at n=11A019228
- Numbers k such that the continued fraction for sqrt(k) has period 40.at n=17A020379
- Primes that remain prime through 2 iterations of function f(x) = 8x + 9.at n=25A023264
- Primes that remain prime through 2 iterations of function f(x) = 9x + 8.at n=38A023267
- Primes that remain prime through 3 iterations of function f(x) = 3x + 10.at n=20A023280
- Primes that remain prime through 4 iterations of function f(x) = 3x + 10.at n=7A023310
- Numbers whose least quadratic nonresidue (A020649) is 7.at n=40A025023
- Smallest k such that 2^^n is not congruent to 2^^(n-1) mod k, where 2^^n denotes the power tower 2^2^...^2 (in which 2 appears n times).at n=9A027763
- Primes with property that when squared all even digits occur together and all odd digits occur together.at n=31A030480