Properties of the Number 26409

Twenty-Six Thousand Four Hundred Nine

Basics

Value: 26408 → 26409 → 26410

Parity: odd

Prime: No

Previous Prime: 26407

Next Prime: 26417

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 8803

Divisors: 1, 3, 8803, 26409

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 110011100101001

Octal: 63451

Duodecimal: 13349

Hexadecimal: 6729

Square: 697435281

Square Root: 162.5084613181726

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

Numbers whose square is a zeroless pandigital number (i.e., use the digits 1 through 9 once). A71519

Number of partitions in parts not of the form 15k, 15k+1 or 15k-1. Also number of partitions with no part of size 1 and differences between parts at distance 6 are greater than 1. A35955

Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and 2w+x+y>1. A211618

Numbers whose square contains all of the digits 1 through 9. A294661

G.f.: A(x) = ∑_n>=0 xⁿ * (1 - x·A(x)^2·n)/(1 - x·A(x)^2·n+1). A307228

Numbers n such that n contains exactly 5 digits, all distinct, and n² contains exactly 9 distinct digits. A204691

For n >= 1, n n's take places at stage n: the first takes the least untaken place (l.u.p) and for 2<=k<=n, the k-th n takes the l.u.p. more than n-1 places past the place of the (k-1)st n. A26409

Irregular table read by rows: Take a Reuleaux triangle with all diagonals drawn, as in A340639. Then T(n,k) = number of k-sided polygons in that figure for k >= 3. A340614

G.f. satisfies: A(x) = ∑_n>=0 binomial((n+1)²,n)/(n+1)² * xⁿ/A(x)ⁿ. A295765