Properties of the Number 19255

Nineteen Thousand Two Hundred Fifty-Five

Basics

Value: 19254 → 19255 → 19256

Parity: odd

Prime: No

Previous Prime: 19249

Next Prime: 19259

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 3851

Divisors: 1, 5, 3851, 19255

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101100110111

Octal: 45467

Duodecimal: B187

Hexadecimal: 4b37

Square: 370755025

Square Root: 138.76238683447326

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

Expansion of the g.f. of A053723 in powers of the g.f. of A121591. A229111

Number T(n,k) of words w of length n such that each letter of the k-ary alphabet is used at least once and for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A257783

Sum T(n,k) of the k-th entries in all blocks of all set partitions of [n]; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A285595

a(n) is the smallest number which can be represented as the sum of n distinct nonzero squares in exactly n ways, or 0 if no such number exists. A350241

k! + k# + 1 is prime, where k# is the primorial function. A81710

Number of words w of length n such that each letter of the quaternary alphabet is used at least once and for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z. A321840

Number of composite numbers between exponents of successive Mersenne primes. A157894

a(n) = A115004(n) - A334701(n). A335179

Decimal expansion of 1/sqrt(5). A20762

Decimal expansion of rho_c = (5-sqrt(5))/10, the asymptotic critical density for the hard hexagon model. A244847