6997
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6998
- 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
- 6996
- Möbius Function
- -1
- Radical
- 6997
- 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
- 119
- 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
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 900
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = prime(n^2).at n=29A011757
- Numbers k such that the continued fraction for sqrt(k) has period 33.at n=19A020372
- a(n) = a(n-1) + a(n-2) + 1, with a(0)=3, a(1)=8.at n=15A022407
- Primes that remain prime through 3 iterations of function f(x) = 2x + 3.at n=18A023273
- Primes that remain prime through 4 iterations of function f(x) = 2x + 3.at n=8A023303
- a(n) = Sum_{i=0..2*n} Sum_{j=0..i} T(i, j), where T is given by A026552.at n=9A026567
- a(n) = prime(100*n).at n=8A031921
- Primes p such that (p+1)/2 and (p+2)/3 are also primes.at n=20A036570
- Trajectory of 3 under map n->7n+1 if n odd, n->n/2 if n even.at n=27A037101
- Number of balanced partitions of n: the largest part equals the number of parts.at n=47A047993
- Primes p such that p+4 and p+16 are also primes.at n=46A049492
- Primes p such that x^53 = 2 has no solution mod p.at n=15A059258
- Primes with either no internal digits or all internal digits are 9.at n=46A069684
- Self-convolution of A073739; odd-indexed terms are twice the odd primes.at n=50A073740
- Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 6.at n=37A075586
- Balanced primes of order two.at n=36A082077
- Primes whose 10's complement is a triangular number.at n=11A082992
- Primes whose 10's complement is a palindrome.at n=30A083017
- Irregular primes whose indices are irregular primes of order one.at n=17A090869
- Primes of the form 23n+5.at n=38A102734