4931
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4932
- 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
- 4930
- Möbius Function
- -1
- Radical
- 4931
- 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
- 72
- 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
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 658
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 6 as smallest primitive root.at n=38A001125
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/5.at n=14A001135
- Where the prime race among 7k+1, ..., 7k+6 changes leader.at n=35A007354
- M-sequences from multicomplexes on 4 variables with all monomials of degree 2 but none of degree larger than n.at n=5A011810
- Numbers k such that the continued fraction for sqrt(k) has period 58.at n=29A020397
- Initial members of prime triples (p, p+2, p+6).at n=39A022004
- Primes that remain prime through 3 iterations of function f(x) = 2x + 9.at n=13A023276
- Primes that remain prime through 4 iterations of function f(x) = 2x + 9.at n=6A023306
- Primes that remain prime through 5 iterations of function f(x) = 2x + 9.at n=1A023334
- a(n) = Sum_{d|n} sigma(n/d)*d^3.at n=16A027847
- 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 69.at n=16A031567
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 3 and 4 (mod 5).at n=48A035587
- Denominators of continued fraction convergents to sqrt(597).at n=9A042145
- Record subsequence of b(3k+1), b()=A048142().at n=27A051057
- Primes at which the difference pattern X24Y (X and Y >= 6) occurs in A001223.at n=13A052163
- First term of weak prime quintets: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3).at n=12A054823
- Primes p such that x^17 = 2 has no solution mod p.at n=37A058999
- Primes p such that x^29 = 2 has no solution mod p.at n=20A059256
- Primes p such that x^5 == 2 (mod p) has five solutions.at n=31A059858
- Primes which are sums of twin Harshad numbers (includes overlaps).at n=33A060290