Properties of the Number 5459

Five Thousand Four Hundred Fifty-Nine

Basics

Value: 5458 → 5459 → 5460

Parity: odd

Prime: No

Previous Prime: 5449

Next Prime: 5471

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 53 × 103

Divisors: 1, 53, 103, 5459

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010101010011

Octal: 12523

Duodecimal: 31AB

Hexadecimal: 1553

Square: 29800681

Square Root: 73.8850458482635

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(1) = 7; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A46257

Numerators of the expansion of -W_-1(-e^{-1 - x²/2}) where x > 0 and W_-1 is the Lambert W function. A5447

a(1)=3; for n > 1, a(n) = 1 + a(n-1) + gcd( a(n-1)*(a(n-1)+2), A073829(a(n-1)) ). A167053

Number of anisohedral polyiamonds with n cells. A75224

Highly cototient numbers: records for a(n) in A063741. A100827

Total area of the shadows of the three views of a three-dimensional version of the shell model of partitions with n shells. A210970

a(n) = (2·n+1) * (4·n-1). A33566

Integers (all of the form 4k+3) organized into an array based on the number of times ∑_i=1..u J(i,4k+3) obtains value zero when u ranges from 1 to (4k+3), where J(i,k) is the Jacobi symbol. A166092

Numbers that are the sum of nine fourth powers in five or more ways. A345589

Numbers that are the sum of nine fourth powers in six or more ways. A345590