Properties of the Number 31772

Thirty-One Thousand Seven Hundred Seventy-Two

Basics

Value: 31771 → 31772 → 31773

Parity: even

Prime: No

Previous Prime: 31771

Next Prime: 31793

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 13 ² × 47

Divisors: 1, 2, 4, 13, 26, 47, 52, 94, 169, 188

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111110000011100

Octal: 76034

Duodecimal: 16478

Hexadecimal: 7c1c

Square: 1009459984

Square Root: 178.24701961042715

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..2 arrays with values 0..2 introduced in row major order and each element equal to one or two horizontal and vertical neighbors. A199647

Sum of all the parts in the partitions of n into 6 squarefree parts. A308903

a(n) = (2·n - 5)n². A15240

Catafusenes (see reference for precise definition). A45902

Records for terms in the continued fraction of Soldner's constant. A99804

G.f. satisfies A(x) = ( 1 + x·A(x)² * (1 + x) )². A371577

Number of n X 2 0..2 arrays with values 0..2 introduced in row major order and each element equal to one or two horizontal and vertical neighbors. A199641

Number of (n+2)X3 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..1 introduced in row major order. A204374

Number of nX4 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,0) or (-1,1) and new values introduced in order 0..2. A275127

Number of 7 X n 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,0) or (-1,1) and new values introduced in order 0..2. A275136