Properties of the Number 6997

Six Thousand Nine Hundred Ninety-Seven

Basics

Value: 6996 → 6997 → 6998

Parity: odd

Prime: Yes

Previous Prime: 6991

Next Prime: 7001

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 6997

Divisors: 1, 6997

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101101010101

Octal: 15525

Duodecimal: 4071

Hexadecimal: 1b55

Square: 48958009

Square Root: 83.64807230295268

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of balanced partitions of n: the largest part equals the number of parts. A47993

a(n) = prime(n²). A11757

Balanced primes of order two. A82077

a(n) = ∑_i=0..2·n ∑_j=0..i T(i, j), where T is given by A026552. A26567

Primes p such that p+4 and p+16 are also primes. A49492

Primes with either no internal digits or all internal digits are 9. A69684

Discriminants of real quadratic fields with form class number 3. A391421

Primes p such that (p+1)/2 and (p+2)/3 are also primes. A36570

Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 6. A75586

T(n,k) = Number of n X k nonnegative integer arrays with upper left 0 and lower right n+k-6 and value increasing by 0 or 1 with every step right or down. A252930