5099
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
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5100
- 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
- 5098
- Möbius Function
- -1
- Radical
- 5099
- 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
- 116
- 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
- no
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 681
- 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=36A000353
- Smallest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.at n=19A002148
- Coordination sequence for MgZn2, Mg position.at n=18A009939
- a(n) = a(n-3) + a(n-4), with a(0)=1, a(1)=a(2)=0, a(3)=1.at n=49A017817
- a(n)/1000 gives sqrt(n) to 3 places after the decimal point.at n=25A027662
- 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=5A031569
- Primes of the form x^2+74*y^2.at n=31A033248
- Number of partitions satisfying (cn(0,5) <= cn(1,5) = cn(4,5) and cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5)).at n=46A036813
- Numerators of continued fraction convergents to sqrt(698).at n=8A042342
- Primes with first digit 5.at n=28A045711
- p, p+2 and p+8 are primes.at n=39A046134
- Primes p such that the decimal digits of p^2 can be partitioned into two or more nonzero squares.at n=21A048646
- Primes of the form 4*k^2 + 4*k + 59.at n=30A048988
- Primes p such that p+2 and p+8 are also primes but p+6 is not.at n=29A049437
- a(n) = n + max{ a(i)*a(n-i) ; 1 <= i <= n-1 }, a(n) = n for n <= 2.at n=14A054253
- Number of ways of numbering the faces of a cube with nonnegative integers so that the sum of the 6 numbers is n.at n=24A054473
- Smallest number m such that m^2+1 is divisible by A002144(n)^2 (= squares of primes congruent to 1 mod 4).at n=19A059321
- a(n) is smallest safe prime (A005385) such that a(n) + 12*n is the next safe prime, i.e., x = (a(n) - 1)/2 and x + 6*n are closest Sophie Germain primes.at n=23A059327
- Lesser of irregular twin primes.at n=16A060012
- Smaller member of a twin prime pair whose mean is a multiple of A002110(3)=30.at n=40A060229