Properties of the Number 2813

Two Thousand Eight Hundred Thirteen

Basics

Value: 2812 → 2813 → 2814

Parity: odd

Prime: No

Previous Prime: 2803

Next Prime: 2819

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 29 × 97

Divisors: 1, 29, 97, 2813

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 101011111101

Octal: 5375

Duodecimal: 1765

Hexadecimal: afd

Square: 7912969

Square Root: 53.03772242470448

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

Centered square numbers: a(n) = 2·n*(n+1)+1. Sums of two consecutive squares. Also, consider all Pythagorean triples (X, Y, Z=Y+1) ordered by increasing Z; then sequence gives Z values. A1844

Number of (w,x,y,z) with all terms in {1,...,n} and w·x < 2·y*z. A211795

a(n) = 4*(n+1)*n + 5. A78370

Number of integer partitions of n not containing their mean. A327472

a(n) = 8·n² - 4·n + 1. A80856

Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 1. A51966

Number of integer partitions of n whose maximal anti-runs have distinct maxima. A375133

Numbers k such that 6^k - 5^k-1 is prime. A93713

Denominator of (1+σ(s)) / ((s+1)/2), where s is the square of n prime-shifted once (s = A003961(n)² = A003961(n²)). A337339

Numbers k such that k!! + 2⁸ is prime. A76195