Properties of the Number 8501

Eight Thousand Five Hundred One

Basics

Value: 8500 → 8501 → 8502

Parity: odd

Prime: Yes

Previous Prime: 8467

Next Prime: 8513

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 8501

Divisors: 1, 8501

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10000100110101

Octal: 20465

Duodecimal: 4B05

Hexadecimal: 2135

Square: 72267001

Square Root: 92.20086767487604

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

a(n) is the largest prime < 3·a(n-1) for n > 1, with a(1) = 2. A126031

Expansion of e.g.f. exp(x·C(x)²) where C(x) = 1 + x·C(x)² is the g.f. of the Catalan numbers, A000108. A251568

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253495

Primes p such that the multiplicative order of 2 modulo p is (p-1)/5. A1135

Fundamental discriminants of real quadratic number fields with class number 5. A94614

Lower triangular matrix, read by rows: T(i,j) = number of ways i seats can be occupied by any number k (0<=k<=j<=i) of persons. A86885

Father primes of order 6. A136075

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically. A253456

Primes that are palindromic in base 7. A29975

Primes of form 100·k + 1. A62800