5849
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5850
- 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
- 5848
- Möbius Function
- -1
- Radical
- 5849
- 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
- 142
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 768
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Erdős-Selfridge function: a(n) is the least number m > n+1 such that the least prime factor of binomial(m, n) is > n.at n=16A003458
- Prime(n)*...*a(n) is the least product of consecutive primes which is non-deficient.at n=19A007686
- Numbers n such that n, 2n+1, and 4n+3 all prime.at n=31A007700
- Prime(n)*...*a(n) is the least product of consecutive primes which is abundant.at n=19A007708
- Coordination sequence T1 for Zeolite Code MON.at n=47A008181
- Numbers k such that the continued fraction for sqrt(k) has period 73.at n=1A020412
- Primes that remain prime through 3 iterations of function f(x) = 6x + 5.at n=44A023288
- Primes that remain prime through 4 iterations of function f(x) = 6x + 5.at n=13A023317
- Primes that remain prime through 5 iterations of function f(x) = 6x + 5.at n=2A023345
- Palindromic primes in base 8.at n=23A029976
- "AFK" (ordered, size, unlabeled) transform of 2,1,1,1,...at n=22A032006
- a(1)=1, a(n) = smallest odd number such that all sums of pairs of (not necessarily distinct) terms in the sequence are distinct.at n=40A034757
- Denominators of continued fraction convergents to sqrt(95).at n=8A041171
- Primes p such that p+2 and 2p+1 are also prime.at n=43A045536
- p, p+8 and p+12 are primes.at n=37A046141
- Primes p such that p+2 and p+8 are also primes but p+6 is not.at n=34A049437
- Numbers k such that k^6 == 1 (mod 7^4).at n=13A056092
- Primes p such that x^17 = 2 has no solution mod p.at n=43A058999
- Primes p such that x^43 = 2 has no solution mod p.at n=18A059243
- Initial primes of Cunningham chains of first type with length exactly 3. Primes in A059453 that survive as primes just two "2p+1 iterations", forming chains of exactly 3 terms.at n=15A059762