Properties of the Number 8775

Eight Thousand Seven Hundred Seventy-Five

Basics

Value: 8774 → 8775 → 8776

Parity: odd

Prime: No

Previous Prime: 8761

Next Prime: 8779

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 ² × 13

Divisors: 1, 3, 5, 9, 13, 15, 25, 27, 39, 45

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001001000111

Octal: 21107

Duodecimal: 50B3

Hexadecimal: 2247

Square: 77000625

Square Root: 93.67496997597597

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)*(n+2)/2. A27480

Sheffer triangle (exp(x), exp(3·x) - 1). Named S2[3,1]. A282629

Distinct odd numbers in the triangle of denominators in Leibniz's Harmonic Triangle. A46201

Heinz numbers of integer partitions with as many even parts as odd conjugate parts and as many odd parts as even conjugate parts. A351980

Numbers k for which nontrivial positive magic squares of exactly 9 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005. A125016

Numbers whose prime indices have more than one permutation with all equal run-sums. A383015

a(n) = n*(n² - 1)/2. A135503

Denominator of c(n) = (n²+n+2)/((n+1)*(n+2)*(n+3)). A241269

Sum of the squarefree parts of the partitions of n into 4 parts. A309479

a(n) = 4·binomial(4·n+11, n)/(n+4). A6635