6047
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
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6048
- 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
- 6046
- Möbius Function
- -1
- Radical
- 6047
- 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
- 93
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 789
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p == 7, 19, 23 (mod 40) such that (p-1)/2 is also prime.at n=40A000353
- Number of protruded partitions of n with largest part at most 10.at n=13A005116
- Primes that remain prime through 2 iterations of function f(x) = 8x + 7.at n=40A023263
- Primes that remain prime through 3 iterations of function f(x) = 2x + 3.at n=15A023273
- Primes that remain prime through 3 iterations of function f(x) = 4x + 9.at n=20A023282
- Primes that remain prime through 4 iterations of function f(x) = 2x + 3.at n=7A023303
- Primes that remain prime through 5 iterations of function f(x) = 2x + 3.at n=3A023331
- 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 77.at n=7A031575
- Primes with first digit 6.at n=23A045712
- Primes p from A031924 such that A052180(p) = 23.at n=5A052238
- T(n,n-3), array T as in A054106.at n=32A054107
- Fifth term of strong prime quintets: p(m-3)-p(m-4) > p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1).at n=16A054812
- Smaller of two consecutive primes whose sum is a square.at n=10A061275
- The least number k = a(n) > a(n-1) for which k!/(k+1)^m for increasing m's.at n=38A061769
- Primes p for which the exponent of the highest power of 2 dividing p! is equal to prevprime(prevprime(p)).at n=28A064396
- Primes p such that (p-1)/2 and (p-3)/4 are also prime.at n=15A066179
- a(0)=1, a(n) is the smallest integer > a(n-1) such that the largest element in the simple continued fraction for S(n)= 1/a(0)+1/a(1)+1/a(2)+...+1/a(n) equals 2n.at n=40A070898
- Primes p such that p+1 is divisible by the digital product (of nonzero digits) of p.at n=36A081982
- Initial prime of a prime chain of length n under the iteration x->2x+3.at n=6A084954
- Smaller member of a prime pair (n, n+6) with a square sum.at n=2A086776