Properties of the Number 8919

Eight Thousand Nine Hundred Nineteen

Basics

Value: 8918 → 8919 → 8920

Parity: odd

Prime: No

Previous Prime: 8893

Next Prime: 8923

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 991

Divisors: 1, 3, 9, 991, 2973, 8919

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001011010111

Octal: 21327

Duodecimal: 51B3

Hexadecimal: 22d7

Square: 79548561

Square Root: 94.44045743218317

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

Trajectory of 775 under the Reverse and Add! operation carried out in base 2, written in base 10. A77077

Coefficient of q²ⁿ in the series expansion of Ramanujan's mock θ function f(q). A39

Smallest positive integer which can be represented as the sum of distinct positive cubes in exactly n ways, or 0 if no such integer exists. A275154

a(2·n+1) = 9·a(n), a(2·n+2) = 10·a(n) + a(n-1). A116555

a(n) = 6·a(n-1)-8·a(n-2)-9 for n > 3; a(0)=775, a(1)=8919, a(2)=49581, a(3)=197469. A177843

a(n) = 6·a(n-1)-8·a(n-2)-3 for n > 2; a(0)=775, a(1)=8919, a(2)=34223. A177845

a(0) = 0, a(1) = 1; a(2·n) = 9·a(n), a(2·n+1) = a(n) + a(n+1). A342615

Numbers that match polynomials over {0,1} that have a factor containing 3 as a coefficient; see Comments. A208181

Number of consecutive prime runs of 9 primes congruent to 1 mod 4 below 10ⁿ. A92660

Triangle read by rows: T(n,k) is the number of set partitions of {1,2,...,n} in which the last block is the singleton {k}, 1<=k<=n; the blocks are ordered with increasing least elements. A108458