Properties of the Number 13436

Thirteen Thousand Four Hundred Thirty-Six

Basics

Value: 13435 → 13436 → 13437

Parity: even

Prime: No

Previous Prime: 13421

Next Prime: 13441

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 3359

Divisors: 1, 2, 4, 3359, 6718, 13436

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010001111100

Octal: 32174

Duodecimal: 7938

Hexadecimal: 347c

Square: 180526096

Square Root: 115.91376104673681

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

Carlitz-Riordan q-Catalan numbers (recurrence version) for q=-5. A15100

A(n,k) is the n-th Carlitz-Riordan q-Catalan number (recurrence version) for q = -k; square array A(n,k), n>=0, k>=0, read by antidiagonals. A290789

Number of rooted trees with n nodes and ω-valency 1. A3120

Expansion of ∏_{i>=1, j>=1, k>=1} (1 + x^i·j*k)/(1 - x^i·j*k). A305050

Triangle T(n,d) (listed row-wise: T(1,1)=1, T(2,1)=1, T(2,2)=1, T(3,1)=2, T(3,2)=2, T(3,3)=1, ...) giving the number of n-edge general plane trees with root degree d that are fixed by the two-fold application of Catalan Automorphisms A057511/A057512 (Deep rotation of general parenthesizations/plane trees). A79218

Given the associative array U(n,k) described below, numbers m > 5 such that [m-3..m+3] are not in U(n,k) (excluding the first row and column). A345473

Numbers n such that (σ(n-2)+σ(n+2))/2 = σ(n). A99631

Number of partitions of n*(n+1)/2 with at most four parts that can be obtained from grouping (with parentheses) a permutation of the sum 1+2+...+n. A160438

Vertex number of a rectangular spiral related to Fibonacci numbers and prime numbers. The distances between nearest edges of the spiral that are parallel to the initial edge are the Fibonacci numbers, while the distances between nearest edges perpendicular to the initial edge are the prime numbers. A160794

Sums of squares of terms in rows of Losanitsch's triangle (A034851). A211208