5197
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
- 5198
- 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
- 5196
- Möbius Function
- -1
- Radical
- 5197
- 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
- 147
- 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
- 692
- 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=43A001126
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=45A001133
- Coordination sequence T3 for Zeolite Code MFI.at n=46A008166
- Coordination sequence T4 for Zeolite Code SGT.at n=45A008232
- a(n) = floor(n*(n - 1)*(n - 2)/32).at n=56A011914
- Numbers k such that the continued fraction for sqrt(k) has period 17.at n=28A020356
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Fibonacci numbers), t = (F(2), F(3), F(4), ...).at n=13A025082
- a(n) = (d(n)-r(n))/2, where d = A026063 and r is the periodic sequence with fundamental period (1,1,0,1).at n=29A026064
- Primes which when concatenated with next 3 primes are also prime.at n=37A030472
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 4.at n=41A031417
- Primes of form x^2+41*y^2.at n=34A033228
- Numerators of continued fraction convergents to sqrt(649).at n=5A042246
- Primes with first digit 5.at n=39A045711
- Numbers k such that 187*2^k-1 is prime.at n=7A050845
- Least prime in A031930 (lesser of 12-twins) whose distance to the next 12-twin is 2*n.at n=26A052355
- Primes p for which the period of reciprocal 1/p is (p-1)/12.at n=7A056217
- Numbers n such that { x +- 2^k : 0 < k < 4 } are primes, where x = 210*n - 105.at n=4A061671
- A B_2 sequence: a(n) is the smallest prime such that the pairwise sums of distinct elements are all distinct.at n=36A062294
- Smallest prime whose decimal expansion ends (nontrivially) with the n-th prime; or 0 if no such prime exists.at n=44A065112
- Least number k such that k has n anti-divisors.at n=33A066464