Properties of the Number 13991

Thirteen Thousand Nine Hundred Ninety-One

Basics

Value: 13990 → 13991 → 13992

Parity: odd

Prime: No

Previous Prime: 13967

Next Prime: 13997

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 17 × 823

Divisors: 1, 17, 823, 13991

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11011010100111

Octal: 33247

Duodecimal: 811B

Hexadecimal: 36a7

Square: 195748081

Square Root: 118.28355760628779

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

Decimal value of the bitmap of active segments in 7-segment display of the number n, variant 1: bits 0-6 refer to segments from top to bottom, left to right. A234691

Triangle read by rows: T(n,k) = (1/4)*(A007318(n,k) - 6·A008292(n+1,k+1) + 9·A060187(n+1,k+1)). A142175

Geometric mean of the digits = 3. In other words, the product of the digits is = 3^k where k is the number of digits. A61427

Numbers n such that primorial(n)/2 + 32 is prime. A139445

G.f. satisfies A(x) = 1 + x⁵*A(x)⁴ / (1 - x·A(x)). A365701

Numerator of Laguerre(n, -2). A160615

Number of (w,x,y,z) with all terms in {1,...,n} and |w-x|=w+|y-z|. A212685

Odd numbers n for which 17 is the smallest i (>= 1) with Jacobi symbol J(i,n) getting either a value 0 or -1. A112077

Number of (n+3) X 6 0..2 matrices with each 4 X 4 subblock idempotent. A224723

Number of nX7 0..1 arrays with every element equal to 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero. A298258