Properties of the Number 80027

Eighty Thousand Twenty-Seven

Basics

Value: 80026 → 80027 → 80028

Parity: odd

Prime: No

Previous Prime: 80021

Next Prime: 80039

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 79 × 1013

Divisors: 1, 79, 1013, 80027

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011100010011011

Octal: 234233

Duodecimal: 3A38B

Hexadecimal: 1389b

Square: 6404320729

Square Root: 282.89043815583443

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

Exceptional primes: those for which Eq. (4.8) in Cosgrave and Dilcher (2011) fails. A239902

Let s(1) = 1; let s(2m) = {s(2m-1),m+1,s(2m-1)}, s(2m+1) = {s(2m),s(2m)}; sequence gives limit of s(k) for large k. A80027

For the imaginary quadratic field of discriminant -47, odd primes p such that the Iwasawa λ invariant lambda_p exceeds 1. A354772

Array read by ascending antidiagonals: A(n,k) is the maximum possible cardinality of a set of points of diameter at most k-1 in {0,1}ⁿ. A373005

n² is a sum of 11 consecutive primes. A213915

Number of polyhexes (without holes) of size 6·n+1 with 6-fold rotational symmetry. A253927

Split primes p such that prime P lying above p is a Wieferich place of K (with discriminant D_K), for some imaginary quadratic field K of class number 1. A275118

Smallest number k such that, for any set S of k distinct nonzero residues mod p = prime(n), any residue mod p can be represented as a sum of zero or more distinct elements of S. A297351