Properties of the Number 19408

Nineteen Thousand Four Hundred Eight

Basics

Value: 19407 → 19408 → 19409

Parity: even

Prime: No

Previous Prime: 19403

Next Prime: 19417

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 1213

Divisors: 1, 2, 4, 8, 16, 1213, 2426, 4852, 9704, 19408

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100101111010000

Octal: 45720

Duodecimal: B294

Hexadecimal: 4bd0

Square: 376670464

Square Root: 139.31259813814398

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 nXk arrays of occupancy after each element stays put or moves to some horizontal, vertical or antidiagonal neighbor, without move-in move-out straight through or left turns. A221898

Relative of Hofstadter Q-sequence: a(n) = max(0, n+19395) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0. A283886

a(n) is the unique number m such that A034460(m) = A357324(n). A357325

Numbers missing from A001033 despite satisfying the necessary congruence conditions (see comments). A274470

p-INVERT of (0,0,0,1,2,3,4,5,...), the nonnegative integers A000027 preceded by two zeros, where p(S) = 1 - S - S². A290992

Numerators of continued fraction convergents to sqrt(817). A42576

G.f.: A(x) = exp( 2*∑_n>=1 2ⁿ/A006519(n) * xⁿ/n ), where A006519(n) = highest power of 2 dividing n. A162588

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + 2·b(n-2) - b(n-3), where a(0) = 1, a(1) = 3, a(2) = 5, b(0) = 2, b(1) = 4, b(2) = 6, and (a(n)) and (b(n)) are increasing complementary sequences. A295361

Triangle T(n,k), read by rows, given by (2,1/2,-1/2,0,0,0,0,0,0,0,...) δ (2,-1/2,1/2,0,0,0,0,0,0,0,...) where δ is the operator defined in A084938. A201972

Number of nX5 arrays of occupancy after each element stays put or moves to some horizontal, vertical or antidiagonal neighbor, without move-in move-out straight through or left turns. A221897