Properties of the Number 19437

Nineteen Thousand Four Hundred Thirty-Seven

Basics

Value: 19436 → 19437 → 19438

Parity: odd

Prime: No

Previous Prime: 19433

Next Prime: 19441

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 19 × 31

Divisors: 1, 3, 11, 19, 31, 33, 57, 93, 209, 341

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100101111101101

Octal: 45755

Duodecimal: B2B9

Hexadecimal: 4bed

Square: 377796969

Square Root: 139.41664176130482

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

Rectangular table, read by antidiagonals, such that the g.f. of row n, R_n(y), satisfies: R_n(y) = [ ∑_k>=0 y^k * R_n·k(y) ]ⁿ for n>=0, with R₀(y)=1. A124550

Row 1 of tables A124550 and A124560; also equals the antidiagonal sums of table A124550. A124551

Rectangular table, read by antidiagonals, such that the g.f. of row n, R_n(y), satisfies: R_n(y) = ∑_k>=0 y^k * [R_n·k(y)]^n·k for n>=0, with R₀(y)=1/(1-y). A124560

Triple primorial n### = n#3. A114411

Numbers k with property that average digit of k² is s=7. A164773

-3-Knödel numbers. A225507

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 0 or 1 and no column sum 0 or 1. A255159

Numbers k which divide the sum of the Fibonacci numbers F(1) through F(k) and such that k is not a multiple of 24. A124456

Odd integers m that divide the sum of the first m nonzero Fibonacci numbers. A331976

a(n) = (2·n - 1) * (2ⁿ - 1). A118414