Properties of the Number 18772

Eighteen Thousand Seven Hundred Seventy-Two

Basics

Value: 18771 → 18772 → 18773

Parity: even

Prime: No

Previous Prime: 18757

Next Prime: 18773

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 13 × 19 ²

Divisors: 1, 2, 4, 13, 19, 26, 38, 52, 76, 247

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100100101010100

Octal: 44524

Duodecimal: AA44

Hexadecimal: 4954

Square: 352387984

Square Root: 137.0109484676316

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

Number of partitions of n in which the least part is odd. A26804

13 times the squares: a(n) = 13·n². A152742

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 2 3 4 6 or 7. A252278

G.f. satisfies: A(x) = 1/A(-x·A(x)⁴). A214764

Number of ways to place 2 non-attacking ferses on an n X n board. A201243

a(n) = (1/n²) * ∑_d∣n moebius(n/d)*binomial(2·d,d). A268619

Table read by rows: T(n,k) = number of k-sided polygons in an equal-armed cross with arms of length n (see Comments in A331456 for definition) for k = 3,4,5,6,7. A333037

Number of triples (w,x,y) with all terms in {0,...,n} and w <= floor((x+y)/3). A212973

Right edge of the triangle in A033291. A192736

Positions k where A348733(k) is not multiplicative. A348740