Properties of the Number 7423

Seven Thousand Four Hundred Twenty-Three

Basics

Value: 7422 → 7423 → 7424

Parity: odd

Prime: No

Previous Prime: 7417

Next Prime: 7433

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 13 × 571

Divisors: 1, 13, 571, 7423

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110011111111

Octal: 16377

Duodecimal: 4367

Hexadecimal: 1cff

Square: 55100929

Square Root: 86.15683373940804

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) is the number of times that sums 3 +- 5 +- 7 +- 11 +- ... +- prime(2n+1) of the first 2n odd primes is zero. There are 2^2n-1 choices for the sign patterns. A83309

Triangle read by rows: T(n,0) = T(n,n) = 1 and for 0<k<n: T(n,k) = 2·T(n-1, k-1) + T(n-1,k). A119258

Björner-Welker sequence: 2ⁿ*(n² + n + 2) - 1. A55580

Expansion of 1/sqrt((1-x)² - 4·x⁴). A98482

Triangle T(n,k) read by rows: number of Green's R-classes in the semigroup of order-preserving partial transformations (of an n-element chain) consisting of elements of height k (height(α) = |Im(α)|). A112857

Triangle T that satisfies the matrix products: C*[T^-1]*C = T and T*[C^-1]*T = C, where C is Pascal's triangle. A118801

A sequence of asymptotic density ζ(9) - 1, where ζ is the Riemann ζ function. A143035

Triangular array: the fission of ((x+1)ⁿ) by ((x+1)ⁿ); i.e., the self-fission of Pascal's triangle. A193844

Number of solutions to c(1)*prime(2) +...+ c(n)*prime(n+1) = 0, where c(i) = +-1 for i > 1, c(1) = 1. A22897

Numbers k such that σ(φ(k))-φ(σ(k)) is nonzero and divisible by φ(k), that is A065395(k)/A000010(k) is a nonzero integer. A92587