Properties of the Number 16476

Sixteen Thousand Four Hundred Seventy-Six

Basics

Value: 16475 → 16476 → 16477

Parity: even

Prime: No

Previous Prime: 16453

Next Prime: 16477

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 1373

Divisors: 1, 2, 3, 4, 6, 12, 1373, 2746, 4119, 5492

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000001011100

Octal: 40134

Duodecimal: 9650

Hexadecimal: 405c

Square: 271458576

Square Root: 128.35887191776033

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) binary arrays with no 2X2 subblock diagonal sum less antidiagonal sum equal to any horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum. A186850

Card-matching numbers (Dinner-Diner matching numbers). A59058

Expansion of g.f. (1/2)*( a*(1+x)ⁿ + b*(1-x)ⁿ⁺²*LerchPhi(x, -n-1, 1) + c·2ⁿ⁺¹*(1-x)ⁿ⁺¹*LerchPhi(x, -n, 1/2) ), where a = 31, b = -59, and c = 15, read by rows. A168549

Numbers k such that 3 is the smallest decimal digit of k⁴. A291671

Expansion of ∏_{i>=1, j>=0} (1 + x^{i·3^j}) / (1 - x^{i·3^j}). A393555

a(n) = ∑_k=1..n (-2)^floor(n/k - 1). A345034

Weighted count of partitions with odd parts. A5896

Number of 4 X n 0-1 matrices avoiding simultaneously the right angled numbered polyomino patterns (ranpp) (00;1), (01;0), (10;0) and (01;1). A100316

a(n) = (prime(n)² + prime(n+1))/2. A140511

Number of odd-length integer partitions of n with integer mean. A361656