Properties of the Number 9007

Nine Thousand Seven

Basics

Value: 9006 → 9007 → 9008

Parity: odd

Prime: Yes

Previous Prime: 9001

Next Prime: 9011

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 9007

Divisors: 1, 9007

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100101111

Octal: 21457

Duodecimal: 5267

Hexadecimal: 232f

Square: 81126049

Square Root: 94.90521587352299

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

Numbers that are the sum of 9 positive 7th powers. A3376

Primes with first digit 9. A45715

Primes all of whose internal digits (if any) are 0. A69675

a(n) is the least prime > a(n-1) whose digits do not appear in a(n-1). A30284

Primes that contain only the digits (0, 7, 9). A261181

Primes at which the difference pattern X42Y (X and Y >= 6) occurs in A001223. A52164

Primes p(n) for which (p(n-1) + p(n+2)) / p(n) = 2. A119381

Smallest of 3 consecutive prime numbers such that p1·p2·p3+d1+d2+1=average of twin prime pairs, d1(δ)=p2-p1,d2(δ)=p3-p2. A153406

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 4,2,2,0,2 for x=0,1,2,3,4. A197648

a(n) = PrimePi(n³) - PrimePi(n)³, where PrimePi = A000720. A291538