Properties of the Number 26013

Twenty-Six Thousand Thirteen

Basics

Value: 26012 → 26013 → 26014

Parity: odd

Prime: No

Previous Prime: 26003

Next Prime: 26017

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 × 23 × 29

Divisors: 1, 3, 13, 23, 29, 39, 69, 87, 299, 377

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110010110011101

Octal: 62635

Duodecimal: 13079

Hexadecimal: 659d

Square: 676676169

Square Root: 161.2854612170607

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

Number of integer partitions of n whose product of parts is not n. A379736

Left diagonal of partition triangle A047812. A7042

Number of connected planar graphs on n labeled nodes. A96332

McKay-Thompson series of class 21A for Monster. A58563

a(n) = ∑_k=1..n (-1)^k-1 * binomial(k+3,4) * floor(n/k). A366939

Table of Encoded Bell Multisets using A064553 (cf. A129305). A130274

a(0) = 1, a(n) = 19·n² + 2 for n>0. A10009

"Early bird" squares: write the square numbers in a string 149162536496481100... . Sequence gives numbers k such that k² occurs in the string ahead of its natural place. A181585

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 734", based on the 5-celled von Neumann neighborhood. A273455

Number of partitions of n which are not the partitions into (one or more) consecutive parts. A282467