Properties of the Number 19312

Nineteen Thousand Three Hundred Twelve

Basics

Value: 19311 → 19312 → 19313

Parity: even

Prime: No

Previous Prime: 19309

Next Prime: 19319

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 17 × 71

Divisors: 1, 2, 4, 8, 16, 17, 34, 68, 71, 136

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100101101110000

Octal: 45560

Duodecimal: B214

Hexadecimal: 4b70

Square: 372953344

Square Root: 138.96762212832166

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 (n+1)X(k+1) 0..1 arrays with every 2X2 subblock sum nondecreasing horizontally, vertically and antidiagonally ne-to-sw. A253326

Number of multimin partitions of integer partitions of n. A317546

Number T(n,k) of ordered pairs (p,q) of permutations of [n] with equal up-down signatures and p(1)=q(1)=k if n>0; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A262372

Sum of the fifth largest parts of the partitions of n into 10 parts. A326594

Numbers which are representable as a sum of seventeen but no fewer consecutive nonnegative integers. A270302

Irregular table read by rows: Take an octagon with all diagonals drawn, as in A333075. Then T(n,k) = number of k-sided polygons in that figure for k >= 3. A333076

Brent's irregular triangle T[r,k] related to Hardy-Littlewood constants of prime gaps 2r. A381083

Column k=2 of Brent's table A381083 related to prime gaps 2n. A381085

McKay-Thompson series of class 9c for the Monster group. A58095

Indices k such that 8 plus the k-th triangular number is a perfect square. A154141