Properties of the Number 8520

Eight Thousand Five Hundred Twenty

Basics

Value: 8519 → 8520 → 8521

Parity: even

Prime: No

Previous Prime: 8513

Next Prime: 8521

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 5 × 71

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000101001000

Octal: 20510

Duodecimal: 4B20

Hexadecimal: 2148

Square: 72590400

Square Root: 92.30384607371461

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) = n*(n + 1)*(5·n - 4)/2. A237616

Numbers k such that A102489(k) is divisible by k. A32563

Pairs (j, k) of numbers j<k such that φ(j) = φ(k), σ(j) = σ(k), d(j) = d(k). A134922

Numbers that can be expressed as the difference of the squares of primes in exactly four distinct ways. A92000

Values of m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,3. A64238

Numbers k such that φ(x) = k has exactly 11 solutions. A60674

Expansion of 1/(1 - x*∏_k>=1 1/(1 + x^k)). A299208

a(n) = a(n-1) + a(m) for n >= 4, where m = 2^p+1 + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 2, and a(3) = 4. A50053

Number of strings of length n over an 8-letter alphabet that begin with a nontrivial palindrome. A249641

Integers that occur more than once as the difference of the squares of two consecutive primes. A78667