Properties of the Number 8027

Eight Thousand Twenty-Seven

Basics

Value: 8026 → 8027 → 8028

Parity: odd

Prime: No

Previous Prime: 8017

Next Prime: 8039

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 23 × 349

Divisors: 1, 23, 349, 8027

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101011011

Octal: 17533

Duodecimal: 478B

Hexadecimal: 1f5b

Square: 64432729

Square Root: 89.59352655186646

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

Number of integer partitions of n whose length cannot be written as a nonnegative linear combination of the distinct parts. A367219

Least k such that ∑_i=1..k (prime(i) + prime(i+2) - 2·prime(i+1)) = 2n + 1. A73051

Numbers k such that the k-th maximal run of composite numbers has length different from all prior maximal runs. Sorted positions of first appearances in A176246 (or A046933 shifted). A373400

Magic constants of 5 X 5 magic squares which consist of consecutive primes. A176571

Numbers which are the sum of two positive cubes and divisible by 23. A101806

a(n) = ∑_k=1..n floor(n²/k). A118014

Number T(n,k) of matchings of size k in the n X n X n triangular grid; triangle T(n,k), n>=0, 0<=k<=floor(n*(n+1)/4), read by rows. A288852

The number of seconds after midnight corresponding to prime time primes, i.e., primes of the form HMMSS with primes H < 24 and MM, SS < 60, cf. A295013. A295003

Semiprimes that are the sum of two positive cubes. Common terms of A003325 and A046315. A85366

Number of unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 6. A244460