Properties of the Number 15827

Fifteen Thousand Eight Hundred Twenty-Seven

Basics

Value: 15826 → 15827 → 15828

Parity: odd

Prime: No

Previous Prime: 15823

Next Prime: 15859

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 7 ² × 17 × 19

Divisors: 1, 7, 17, 19, 49, 119, 133, 323, 833, 931

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 11110111010011

Octal: 36723

Duodecimal: 91AB

Hexadecimal: 3dd3

Square: 250493929

Square Root: 125.80540528928

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 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A241306

Numbers which are the roots of distinct not-previously-encountered side-trees ("tendrils") sprouting from the side of the infinite beanstalk (see A213730). A218612

Truncated triangular pyramid numbers: a(n) = ∑_k=4..n (k*(k+1)/2 - 9). A51937

Numbers k such that 2·F(k) + 1 is a prime, where F = A000045. A124067

Number of partitions of n into distinct partition numbers. A68006

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+2737)² = y². A201916

a(n) = ( 2·n*(2·n² + 11·n + 26) - (-1)ⁿ + 1 )/16. A256666

Expansion of the g.f. of A160534 in powers of A121593. A279613

Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 1 skipped prime. A50768

Number of nX4 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A241303