6701
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6702
- 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
- 6700
- Möbius Function
- -1
- Radical
- 6701
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 137
- 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
- 864
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of n-step spiral self-avoiding walks on hexagonal lattice, where at each step one may continue in same direction or make turn of 2*Pi/3 counterclockwise.at n=30A000511
- Numbers k such that the continued fraction for sqrt(k) has period 59.at n=6A020398
- Primes that remain prime through 2 iterations of function f(x) = 8x + 1.at n=19A023260
- Convolution of (F(2), F(3), F(4), ...) and odd numbers.at n=13A023652
- Sequence satisfies T^2(a)=a, where T is defined below.at n=52A027594
- Primes that are palindromic in base 7.at n=24A029975
- Numbers having three 5's in base 8.at n=33A043443
- Primes p such that p+2 and p+8 are also primes but p+6 is not.at n=38A049437
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 23.at n=12A051964
- 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=17A054823
- Primes p such that x^67 = 2 has no solution mod p.at n=13A059330
- Primes p such that |p - q| is a square, where q is the reversal of p.at n=22A059798
- Lesser of twin primes whose average is 6 times a prime.at n=24A060213
- Primes of form 100*k + 1.at n=22A062800
- Primes such that prime(p) +- pi(p) are simultaneously prime.at n=15A065117
- a(n) = prime(n*(n+1)/2+3).at n=41A078724
- Primes p such that floor(p^Pi) is prime.at n=41A079594
- Non-palindromic primes which on subtracting their reversal give perfect squares.at n=7A080177
- Smallest prime p such that 2+p^n is a prime, or 0 if no such prime exists.at n=68A087575
- Prime numbers in which the sum of the external digits = the sum of the internal digits.at n=35A088290