Properties of the Number 19356

Nineteen Thousand Three Hundred Fifty-Six

Basics

Value: 19355 → 19356 → 19357

Parity: even

Prime: No

Previous Prime: 19333

Next Prime: 19373

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 1613

Divisors: 1, 2, 3, 4, 6, 12, 1613, 3226, 4839, 6452

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100101110011100

Octal: 45634

Duodecimal: B250

Hexadecimal: 4b9c

Square: 374654736

Square Root: 139.12584231550946

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 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X(k+1) binary array having nonzero determinant, with rows and columns of the latter in lexicographically nondecreasing order. A227558

Ulam's spiral (ESE spoke). A143855

Number of binary strings of length n having exactly one factorization as a concatenation of palindromes of length >= 2. A241211

Sum of the absolute values of the antidiagonals of the triangle A135929(n) companion. See the comment. A219795

Number of partitions into non-integral powers. A339

Denominators of continued fraction convergents to sqrt(464). A41885

Number of n X 3 0,1 arrays indicating 2 X 2 subblocks of some larger (n+1) X 4 binary array having nonzero determinant, with rows and columns of the latter in lexicographically nondecreasing order. A227555

Number of 4 X n 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,0) or (-1,1) and new values introduced in order 0..2. A275184

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,0) or (-1,1) and new values introduced in order 0..2. A275183

T(n,k)=Number of n-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-bishop's tours (antidiagonal moves become knight moves) on a kXk board summed over all starting positions. A187606