Properties of the Number 5375

Five Thousand Three Hundred Seventy-Five

Basics

Value: 5374 → 5375 → 5376

Parity: odd

Prime: No

Previous Prime: 5351

Next Prime: 5381

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 ³ × 43

Divisors: 1, 5, 25, 43, 125, 215, 1075, 5375

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011111111

Octal: 12377

Duodecimal: 313B

Hexadecimal: 14ff

Square: 28890625

Square Root: 73.3143914930759

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

Hypotenuses for which there exist exactly 3 distinct integer triangles. A84647

Number T(n,k) of set partitions of [n] where k is minimal such that for each block b the smallest integer interval containing b has at most k elements; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A276727

G.f. satisfies: A(x) = 1/(1 + x·A(x²)) and also the continued fraction: 1 + x·A(x³) = [1; 1/x, 1/x², 1/x⁴, 1/x⁸, ..., 1/x^{2^(n-1}), ...]. A101912

T(n,k)=Number of length-n 0..k arrays with no following elements greater than or equal to the first repeated value. A267232

Lexicographically earliest sequence containing 2 and all positive integers > 1 whose prime indices minus 1 already belong to the sequence. A324702

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

Triangle T(n,k) read by rows of number of ways k domicules can be placed on an n X n square (n >= 0, 0 <= k <= floor(n²/2)). A243424

T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 0, 2 or 3 king-move neighboring 1s. A296674

Least k such that gcd(prime(k)+1, prime(k+1)+1) = 2n. A67603

a(n) = 3·n² + 2·n - 1. A270710