Properties of the Number 5812

Five Thousand Eight Hundred Twelve

Basics

Value: 5811 → 5812 → 5813

Parity: even

Prime: No

Previous Prime: 5807

Next Prime: 5813

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 1453

Divisors: 1, 2, 4, 1453, 2906, 5812

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011010110100

Octal: 13264

Duodecimal: 3444

Hexadecimal: 16b4

Square: 33779344

Square Root: 76.23647421018367

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

Expansion of ((1 + x - 2x²) + (1+x)*sqrt(1-4x²))/(2(1-4x²)). A116406

Expansion of (sqrt(1 - 4·x) + (1 - 2·x))/(2*(1 - 4·x)). A114121

Number of partitions of n in which the greatest part is 8. A26814

a(n) = 2ⁿ - C(n,0) - C(n,1) - ... - C(n,5). A35038

a(n) = ∑_k=0..7 binomial(n,k). A8860

Number of partitions of n containing a clique of size 2. A183559

Positive numbers whose product of digits is 5 times their sum. A62382

Number of partitions of n*(n+1)/2 into parts not greater than n. A173519

Array read by antidiagonals, m>=0, n>=0, A(m,n) = ∑_k=0..n ∑_j=0..m ∑_i=0..m (-1)^j+i*C(i,j)*C(n,k)^m+1*(n+1)^j*(k+1)^-j. A198060

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly one way, and new values 0..1 introduced in row major order. A204361