Properties of the Number 13478

Thirteen Thousand Four Hundred Seventy-Eight

Basics

Value: 13477 → 13478 → 13479

Parity: even

Prime: No

Previous Prime: 13477

Next Prime: 13487

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 23 × 293

Divisors: 1, 2, 23, 46, 293, 586, 6739, 13478

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010010100110

Octal: 32246

Duodecimal: 7972

Hexadecimal: 34a6

Square: 181656484

Square Root: 116.09478885807063

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 k such that k¹²⁸ + 1 is prime. A56994

Number of integer partitions of n with a difference < -1 and a conjugate difference < -1. A350839

Diagonal above central terms of pendular trinomial triangle A122445, ignoring leading zeros. A122450

Number of ways a loop can cross three roads meeting in a Y n times. The loop must touch the southwest sector. A78104

a(n)/3^n-1 is the expected win if one of three baskets is chosen randomly and the player optimally chooses the coins with values from 1 to n (see Comments for details). A391792

Row sums from A144562. A144640

Number of 3-element subsets of {1,...,n} whose sum has more than 2 divisors. A241563

Coordination sequence for Ni2In, Position Ni2. A9942

Coordination sequence for α-Mn, Position Mn4. A9953

Indices of primes in sequence defined by A(0) = 91, A(n) = 10·A(n-1) + 41 for n > 0. A101009