Properties of the Number 13770

Thirteen Thousand Seven Hundred Seventy

Basics

Value: 13769 → 13770 → 13771

Parity: even

Prime: No

Previous Prime: 13763

Next Prime: 13781

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁴ × 5 × 17

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 17, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11010111001010

Octal: 32712

Duodecimal: 7B76

Hexadecimal: 35ca

Square: 189612900

Square Root: 117.34564329364768

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 for which nontrivial positive magic squares of exactly 9 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005. A125016

Numbers of the form p⁴*q·r*s where p, q, r, and s are distinct primes. A179693

Maximal number of regions into which 5-space can be divided by n hyperspheres. A59174

Triangle T, read by rows, where the matrix square T² results in shifting T right one column to drop the secondary diagonal. A152391

A convolution triangle of numbers obtained from A034171. A35529

Let F(x) = 1 + x + 4x² + 9x³ + ... = g.f. for A002835 (solid partitions restricted to two planes) and expand (1-x)*(1-x²)*(1-x³)*...*F(x) in powers of x. A5980

Numbers k such that k² +-11 are primes. A176683

Semi-unitary perfect numbers: numbers k such that susigma(k) = 2k, where susigma(k) is the sum of the semi-unitary divisors of k (A322485). A322486

Square spiral of sums of selected preceding terms, starting at 1 (a spiral Fibonacci-like sequence). A94768

Numbers n such that 3 and 5 do not divide swing(n) = A056040(n). A196748