Properties of the Number 19580

Nineteen Thousand Five Hundred Eighty

Basics

Value: 19579 → 19580 → 19581

Parity: even

Prime: No

Previous Prime: 19577

Next Prime: 19583

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 5 × 11 × 89

Divisors: 1, 2, 4, 5, 10, 11, 20, 22, 44, 55

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100110001111100

Octal: 46174

Duodecimal: B3B8

Hexadecimal: 4c7c

Square: 383376400

Square Root: 139.92855319769444

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

Numbers k such that k² divides 9^k - 1. A127101

Numbers k such that k² divides 21^k-1. A128401

Numbers k such that k³ divides 3^k² - 1. A129211

T(n,k) = Number of n X k 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,2,1,0,4 for x=0,1,2,3,4. A196982

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. A317153

Triangle read by rows giving the coefficients of general sum formulas of n-th Lucas numbers (A000204). The k-th row (k>=1) contains T(i,k) for i=1 to 2·k-1, where T(i,k) satisfies L(n) = ∑_k=1..n ∑_i=1..2·k-1 T(i,k) * C(n-k,i-1) * n^n-k / (n-1)!. A101033

Number of (ordered) sequences of coins (each of which has value 1, 5, 10, 25, 50 or 100) which add to n. A114044

a(n) = number of (s(0), s(1), ..., s(n)) such that s(i) is a nonnegative integer and |s(i) - s(i-1)| <= 1 for i = 1,2,...,n, s(0) = 2, s(n) = 4. Also a(n) = T(n,n-2), where T is the array in A026323. A26327

Number of ways to place a non-attacking white and black king on n X n chessboard. A35286

G.f.: ∑_n>=0 (n+1)*(n+2)*(n+3)*(n+4)/4! * xⁿ * (1 + xⁿ)ⁿ. A326005