Properties of the Number 7649

Seven Thousand Six Hundred Forty-Nine

Basics

Value: 7648 → 7649 → 7650

Parity: odd

Prime: Yes

Previous Prime: 7643

Next Prime: 7669

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 7649

Divisors: 1, 7649

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110111100001

Octal: 16741

Duodecimal: 4515

Hexadecimal: 1de1

Square: 58507201

Square Root: 87.45856161634491

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: Yes

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of series-reduced balanced trees with n leaves. A120803

Lower prime of a difference of 20 between consecutive primes. A31938

Primes such that the sum of the predecessor and successor primes is divisible by 29. A112859

a(n) = prime(R(prime(n))) where prime(i) is the i-th prime and R(p) is the value of the reverse of the digits of p. A124179

Father primes of order 8. A136077

Where the prime race among 7k+1, ..., 7k+6 changes leader. A7354

Prime(a(n)) + ... + prime(a(n)+3) is a square = A051395(n)². A72849

Define C(n) by the recursion C(0) = 2·i where i² = -1, C(n+1) = 1/(1 + C(n)), then a(n) = 2*(-1)ⁿ/Im(C(n)) where Im(z) denotes the imaginary part of the complex number z. A69959

Primes whose binary and octal representation are also prime when read in decimal. A236365

Least number k such that n concatenated with k produces a cube. A245631