Properties of the Number 9967

Nine Thousand Nine Hundred Sixty-Seven

Basics

Value: 9966 → 9967 → 9968

Parity: odd

Prime: Yes

Previous Prime: 9949

Next Prime: 9973

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 9967

Divisors: 1, 9967

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011101111

Octal: 23357

Duodecimal: 5927

Hexadecimal: 26ef

Square: 99341089

Square Root: 99.83486364992943

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

a(n) = 5·a(n-1) - 2·a(n-2); a(0)=1, a(1)=5. A107839

a(n) = 5·a(n-2) - 2·a(n-4), with initial terms 0,1,1,3. A5824

Least prime in A031924 (lesser of 6-twins) such that the distance to the next 6-twin is 2·n. A52352

Mother primes of order 5. A136064

Number of times the digit 8 appears in the first 10ⁿ decimal digits of Euler's number e = exp(1), counting starts after the decimal point. A322723

L.g.f.: ∑_n>=1 (xⁿ/n) * ∏_d∣n (1 + n·x^d/d). A205477

Numbers k such that 4^k + 13 is prime. A253772

Primes having only {6, 7, 9} as digits. A261184

a(n) is the greatest prime > a(n-1) obtained by inserting a single digit anywhere in its string of digits (including at the beginning or end), starting with a(1) = 6. A389726

Triangle T(n, k, m) = coefficients of p(x, n, m) where p(x,n,m) = (x+1)*p(x, n-1, m) + 2^m+n-1 *x·p(x, n-2, m) and m=2, read by rows. A154979