Properties of the Number 16042

Sixteen Thousand Forty-Two

Basics

Value: 16041 → 16042 → 16043

Parity: even

Prime: No

Previous Prime: 16033

Next Prime: 16057

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 13 × 617

Divisors: 1, 2, 13, 26, 617, 1234, 8021, 16042

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11111010101010

Octal: 37252

Duodecimal: 934A

Hexadecimal: 3eaa

Square: 257345764

Square Root: 126.65701717630967

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(n+1) 0..k arrays with each 2X2 non-center subblock determinant nonzero and the array of 2X2 subblock determinants antisymmetric under 90 degree rotation. A187624

a(n) = n·A056219(n+1). A166869

Numbers k such that the continued fraction for sqrt(k) has period 37. A20376

Truncated triangular pyramid numbers: a(n) = (n-7)*(n² + 10·n - 108)/6, n >= 8. A51941

Number of slanted n X 4 (i=1..n) X (j=i..4+i-1) 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, 4 in the lower right corner, and with no element having more than 2 neighbors with the same value. A165378

Number of length n+2 0..5 arrays with no three equal elements in a row and new values 0..5 introduced in 0..5 order. A242468

Number of 4X4 0..n arrays with each 2X2 non-center subblock determinant nonzero and the array of 2X2 subblock determinants antisymmetric under 90 degree rotation. A187626

Irregular triangle read by rows: T(n,k) is the number of n X n tic-tac-toe positions (up to rotation and reflection) with k tokens (i.e., after k plays) which end a game (n > 0, 0 <= k <= n²). A317576

Irregular triangle read by rows: T(n,k) = number of k-sided polygons formed when every pair of vertices of a regular n-gon are joined by an infinite line, for k = 3, 4, ..., max_k. A344938

T(n,k)=Number of length n+2 0..k arrays with no three equal elements in a row and new values 0..k introduced in 0..k order. A242472