Properties of the Number 26988

Twenty-Six Thousand Nine Hundred Eighty-Eight

Basics

Value: 26987 → 26988 → 26989

Parity: even

Prime: No

Previous Prime: 26987

Next Prime: 26993

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 13 × 173

Divisors: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110100101101100

Octal: 64554

Duodecimal: 13750

Hexadecimal: 696c

Square: 728352144

Square Root: 164.28024835627684

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

Expansion of (1/(1 - x)) * ∑_k>=0 x^2·k+1 / ∏_j=1..2·k+1 (1 - x^j). A306145

Row sums of triangle A144825. A144826

T(n,k) counts ordered complete ternary trees with 2·n-1 leaves having k internal vertices colored black, the remaining n-1-k internal vertices colored white, and such that each vertex and its rightmost child have different colors. A196201

p-INVERT of the quarter-squares (A002620), where p(S) = 1 - S - S². A289802

Array read by downward antidiagonals: A(n,k) = A(n-1,k+1) + (k+1)*∑_j=0..k binomial(k, j)*A(n-1,j) with A(0,k) = 1, n >= 0, k >= 0. A370382

Consider the zeros of the polynomial P(m,x) whose coefficients are the divisors of a number m. The sequence lists the numbers m such that P(m,x) contains at least two zeros that are purely imaginary numbers. A291127

a(n) = ∑_k=0..n-2 T(n,k) * T(n,k+2), with T given by A026681. A26988