Properties of the Number 4026

Four Thousand Twenty-Six

Basics

Value: 4025 → 4026 → 4027

Parity: even

Prime: No

Previous Prime: 4021

Next Prime: 4027

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 11 × 61

Divisors: 1, 2, 3, 6, 11, 22, 33, 61, 66, 122

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110111010

Octal: 7672

Duodecimal: 23B6

Hexadecimal: fba

Square: 16208676

Square Root: 63.45076831686122

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

Partial sums of A299259. A299265

Partial sums of sequence of odd primes (A065091); a(n) = sum of the first n odd primes. A71148

Numbers n such that n¹⁰²⁴ + 1 is prime (a generalized Fermat prime). A57002

Integers of the form m*(m + 7)/8. A274979

Numbers n such that (n⁹⁷-1)/(n-1) is prime. A217089

a(n) = n*(n²+3·n-1)/3. A84990

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 4 6 or 7. A252640

a(n) = φ(n) * A064989(n), where φ is Euler totient function, and A064989 shifts the prime factorization one step towards lower primes. A353749

a(n) = n*(8·n+7). A139278

Triangle of coefficients of polynomials defined by Binet form: P(n,x) = ((x + d)ⁿ - (x - d)ⁿ)/(2·d), where d = sqrt(x+4). A162517