Properties of the Number 7267

Seven Thousand Two Hundred Sixty-Seven

Basics

Value: 7266 → 7267 → 7268

Parity: odd

Prime: No

Previous Prime: 7253

Next Prime: 7283

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 13 ² × 43

Divisors: 1, 13, 43, 169, 559, 7267

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110001100011

Octal: 16143

Duodecimal: 4257

Hexadecimal: 1c63

Square: 52809289

Square Root: 85.246700815926

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

10-gonal (or decagonal) numbers: a(n) = n*(4·n-3). A1107

Number of partitions of n such that there is exactly one part which occurs twice, while all other parts occur only once. A90858

Composite numbers such that the square mean of their prime factors is a nonprime integer (where the prime factors are taken with multiplicity and the square mean of c and d is sqrt((c²+d²)/2)). A134602

a(n) = T(n, n-2), T given by A026552. Also a(n) = number of integer strings s(0), ..., s(n) counted by T, such that s(n) = 2. A26555

a(n) = n²*(n²+3)/4. A39623

Non-palindromic balanced numbers in base 16. A256080

Numbers having exactly three representations by the quadratic form x²+xy+y² with 0<=x<=y. A198774

Odd composite integers m such that A086902(m-J(m,53)) == 2·J(m,53) (mod m), where J(m,53) is the Jacobi symbol. A339128

Odd composite integers m such that A003501(m-J(m,21)) == 2 (mod m) and gcd(m,21)=1, where J(m,21) is the Jacobi symbol. A339130

Numbers that are the sum of eight fourth powers in five or more ways. A345580