5179
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5180
- 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
- 5178
- Möbius Function
- -1
- Radical
- 5179
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 690
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T2 for Moganite, also for BGB1.at n=46A008259
- a(n) = 2*a(n-1) + 11*a(n-2), a(0) = 0, a(1) = 1.at n=7A015520
- Primes of form k^2 - 5.at n=18A028877
- Numbers k such that k^2 is palindromic in base 4.at n=19A029986
- Primes with property that when squared all even digits occur together and all odd digits occur together.at n=36A030480
- 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=13A031569
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 46 ones.at n=11A031814
- Lower prime of a difference of 10 between consecutive primes.at n=67A031928
- Primes of form x^2+59*y^2.at n=29A033238
- Primes which set a new record for length of Pratt certificate.at n=9A037231
- Primes p such that Ramanujan function tau(p) is divisible by 13.at n=40A038543
- Primes with first digit 5.at n=37A045711
- Discriminants of imaginary quadratic fields with class number 11 (negated).at n=22A046008
- Least prime in A031928 (lesser of 10-twins) whose distance to the next 10-twin is 6*n.at n=22A052354
- Prime number spiral (clockwise, South spoke).at n=13A054566
- a(n+1) = smallest prime p in the range a(n) < p < a(1)*a(2)*...*a(n) such that p-1 divides a(1)*a(2)*...*a(n); or if no such prime p exists, then a(n+1) = smallest prime > a(n).at n=46A057459
- Denoting 4 consecutive primes by p, q, r and s, these are the values of q such that q and r have 10 as a primitive root, but p and s do not.at n=41A060259
- The minimal number which has multiplicative persistence 8 in base n.at n=31A064872
- Primes p such that p+5==0 (mod phi(p+5)).at n=28A067542
- Prime(n) and prime(n+2) use the same digits.at n=7A069794