Properties of the Number 8416

Eight Thousand Four Hundred Sixteen

Basics

Value: 8415 → 8416 → 8417

Parity: even

Prime: No

Previous Prime: 8389

Next Prime: 8419

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁵ × 263

Divisors: 1, 2, 4, 8, 16, 32, 263, 526, 1052, 2104

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000011100000

Octal: 20340

Duodecimal: 4A54

Hexadecimal: 20e0

Square: 70829056

Square Root: 91.73875952943771

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

Number of compositions of n such that each part is adjacent to an equal part. A114901

Multiples of 16 containing a 16 in their decimal representation. A121036

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + n·b(n-2), where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A296284

Number T(n,k) of sets of nonempty words with a total of n letters over k-ary alphabet such that all k letters occur at least once in the set; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A319501

a(n) = n*(8·n+7). A139278

T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). A234564

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the sum of all four elements of every 2X2 subblock equal. A237015

Numbers n such that the decimal number concat(3,n) is a square. A273358

T(n,k)=Number of nXk nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 3 and every value increasing by 0 or 1 with every step right, diagonally se or down. A253011

Centered 15-gonal numbers: a(n) = (15·n² - 15·n + 2)/2. A69128