Properties of the Number 5310

Five Thousand Three Hundred Ten

Basics

Value: 5309 → 5310 → 5311

Parity: even

Prime: No

Previous Prime: 5309

Next Prime: 5323

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 59

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010010111110

Octal: 12276

Duodecimal: 30A6

Hexadecimal: 14be

Square: 28196100

Square Root: 72.86974680894672

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

3 times hexagonal numbers: a(n) = 3·n*(2·n-1). A94159

Numbers m such that there are precisely 20 groups of order m. A298911

Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=10. A135195

Coefficients of the series whose 24th power equals E₂(x)*E₄(x)/E₆(x), where E₂(x), E₄(x) and E₆(x) are the Eisenstein series A006352, A004009 and A013973. A341875

G.f. A(x) satisfies: A(x)² = A(x²) + 12·x. A264413

Row sums of A291904. A291905

Number of factorizations into distinct factors with 3 levels of parentheses indexed by prime signatures. A050349(A025487). A50350

Number of positive integers <= 10ⁿ that are divisible by no prime exceeding 5. A106598

The first of a pair of sequences A and B with property that all the differences |a_i - b_j| are distinct - for precise definition see Comments lines. A169677

Numbers with digits in strictly decreasing order, sorted lexicographically. A262557