Properties of the Number 16744

Sixteen Thousand Seven Hundred Forty-Four

Basics

Value: 16743 → 16744 → 16745

Parity: even

Prime: No

Previous Prime: 16741

Next Prime: 16747

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 7 × 13 × 23

Divisors: 1, 2, 4, 7, 8, 13, 14, 23, 26, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000101101000

Octal: 40550

Duodecimal: 9834

Hexadecimal: 4168

Square: 280361536

Square Root: 129.3986089569745

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

Ramanujan's τ function (or Ramanujan numbers, or τ numbers). A594

a(n) = 1·2 + 3·4 + 5·6 + 7·8 + 9·10 + 11·12 + 13·14 + ... + (up to n). A228958

Starts of runs of 3 consecutive tribonacci-Niven numbers (A352089). A352091

Expansion of (1+x)/(1-x)¹². A57788

Ramanujan function τ(p) as p runs through the primes. A76847

Number of multigraphs with loops on 3 nodes with n edges. A50531

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the upper median value of each 2X2 subblock. A235972

a(n) = 2·1 + 4·3 + 6·5 + 8·7 + 10·9 + 12·11 + ... + (up to the n-th term). A319866

Starts of runs of 3 consecutive Pell-Niven numbers (A352320). A352322

G.f.: ∑_n=-oo..+oo x^n*(n+1/2) * C(x)^2·n-1, where C(x) = 1 + x·C(x)² is the g.f. of the Catalan numbers (A000108). A355345