4933
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4934
- 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
- 4932
- Möbius Function
- -1
- Radical
- 4933
- 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
- 134
- 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
- 659
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numerators of coefficients in Taylor series expansion of log(cosec(x)*arcsin(x)).at n=5A012856
- Numbers k such that the continued fraction for sqrt(k) has period 3.at n=18A013643
- Primes that remain prime through 3 iterations of function f(x) = 10x + 3.at n=19A023300
- Coordination sequence T6 for Zeolite Code MWW.at n=46A024991
- 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=39A031417
- Primes of form x^2+59*y^2.at n=28A033238
- Sum of transposition distances (divided by 2) present in the permutation produced by inverses of 1..(p-1) computed in Zp, where p is n-th prime.at n=39A051864
- Second term of weak prime quintets: p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2).at n=12A054824
- Let prime(i) = i-th prime, let twin(n) = (P,Q) be n-th pair of twin primes; sequence gives prime(P).at n=29A057470
- Number of digits in n-th Fermat number (A000215).at n=14A057755
- Middle members of prime triples {p, p+2, p+6}.at n=39A073648
- a(n) = A075443(A075451(n)).at n=20A075452
- p, p+4 and p+10 are consecutive primes.at n=43A078561
- Class 6+ primes.at n=1A081634
- Numbers k such that Fibonacci(k) concatenated with its 10's complement is prime.at n=22A084621
- Twin-prime-indexed primes (TWIPS): members of a pair of twin primes whose prime index is also a member of a pair of twin primes.at n=23A087373
- Primes of the form 6*p - 5 such that p and 6*p - 1 are primes.at n=26A090607
- Primes whose base-17 expansion is a (valid) decimal expansion of a prime.at n=30A090713
- Primes congruent to 3 mod 17.at n=42A092074
- Engel expansion of Mertens's constant (A077761).at n=8A096167