Properties of the Number 19254

Nineteen Thousand Two Hundred Fifty-Four

Basics

Value: 19253 → 19254 → 19255

Parity: even

Prime: No

Previous Prime: 19249

Next Prime: 19259

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 3209

Divisors: 1, 2, 3, 6, 3209, 6418, 9627, 19254

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101100110110

Octal: 45466

Duodecimal: B186

Hexadecimal: 4b36

Square: 370716516

Square Root: 138.75878350576585

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..2 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically. A253456

Number of real integers in n-th generation of tree T(i) defined in Comments. A274160

Number of even entries in the character table of the symmetric group S_n. A335686

Number of (n+1) X (3+1) 0..2 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically. A253451

Number of (n+1) X (5+1) 0..2 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically. A253453

Partial sums of A253090. A255603

Consider the family of multigraphs enriched by the species of binary arborescences. Sequence gives number of those multigraphs with n edges. A98342

G.f.: A(x) = INV(x-x² - x²*INV(x-2·x² - x²*INV(x-3·x² - x²*INV(x-4·x² - x²*INV(x-5·x² - ...))))), where INV(F(x)) = series reversion of F(x). A196710

Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite VNI = VPI-9 Rb44K4[Zn24Si96O240].48H2O starting with a T6 atom. A19254