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Properties of the Number 13767

Thirteen Thousand Seven Hundred Sixty-Seven

Basics

Value: 13766 → 13767 → 13768

Parity: odd

Prime: No

Previous Prime: 13763

Next Prime: 13781

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 13 × 353

Divisors: 1, 3, 13, 39, 353, 1059, 4589, 13767

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11010111000111

Octal: 32707

Duodecimal: 7B73

Hexadecimal: 35c7

Square: 189530289

Square Root: 117.3328598475295

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

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any southwest or northwest neighbors modulo n and the upper left element equal to 0. A267278
Strings of 5 digits from 1...9, such that no formula using the single digits in the given order exists that evaluates to 0. A288355
T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its northwest or southwest neighbor modulo n and the upper left element equal to 0. A266572
a(n) = n*(9·n+2). A147296
Numbers n from which zero or more applications of A003415 will lead to 5. A328115
Number of nondecreasing sequences of 4 1..n integers with no element dividing the sequence sum. A212871
Number of 3Xn arrays containing n copies of 0..3-1 with no element 1 greater than its northwest or southwest neighbor modulo 3 and the upper left element equal to 0. A266573
Number of walks within N3 (the first octant of Z3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (0, 0, -1), (1, -1, -1), (1, 1, 1)}. A149583
Number of n X n 0..1 arrays with every element unequal to 0, 1, 5 or 8 king-move adjacent elements, with upper left element zero. A304264
Number of n X 7 0..1 arrays with every element unequal to 0, 1, 5 or 8 king-move adjacent elements, with upper left element zero. A304269