5279
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
- 5280
- 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
- 5278
- Möbius Function
- -1
- Radical
- 5279
- 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
- 77
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 700
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Functional determinants; partitions of partitions; Euler transform applied twice to all 1's sequence.at n=13A001970
- Coordination sequence T10 for Zeolite Code MFI.at n=46A008162
- From table of maximal epacts e(p) and corresponding primes p, for x_0=2, x_{m+1} = (x_m)^2-1; sequence gives p.at n=26A014426
- Expansion of 1/((1-3x)(1-8x)(1-12x)).at n=3A018071
- Numbers k such that the continued fraction for sqrt(k) has period 84.at n=11A020423
- Primes that remain prime through 2 iterations of function f(x) = 8x + 7.at n=38A023263
- Primes that remain prime through 3 iterations of function f(x) = 9x + 2.at n=20A023296
- Primes that remain prime through 4 iterations of function f(x) = 9x + 2.at n=8A023324
- Primes which when concatenated with next 3 primes are also prime.at n=40A030472
- 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 71.at n=19A031569
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 38 ones.at n=21A031806
- a(n) = prime(100*n).at n=6A031921
- Primes p such that p+2 and 2p+1 are also prime.at n=38A045536
- Values of A (the short leg) of a Pythagorean triangle with A and C (the hypotenuse) both prime and part of a twin prime.at n=20A051642
- Fourth term of strong prime quintets: p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m).at n=13A054811
- Primes p such that x^29 = 2 has no solution mod p.at n=21A059256
- Smaller member of a twin prime pair whose mean is a multiple of A002110(3)=30.at n=41A060229
- Primes the sum of six consecutive composite numbers.at n=43A060331
- Smallest odd prime p such that Q(sqrt(-p)) has class number 2n+1.at n=43A060651
- Centered 13-gonal numbers.at n=28A069126