Properties of the Number 16684

Sixteen Thousand Six Hundred Eighty-Four

Basics

Value: 16683 → 16684 → 16685

Parity: even

Prime: No

Previous Prime: 16673

Next Prime: 16691

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 43 × 97

Divisors: 1, 2, 4, 43, 86, 97, 172, 194, 388, 4171

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100000100101100

Octal: 40454

Duodecimal: 97A4

Hexadecimal: 412c

Square: 278355856

Square Root: 129.1665591397402

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 0..1 arrays with rows unimodal and antidiagonals nondecreasing. A224409

Number of compositions (ordered partitions) of n into distinct parts such that number of parts is even. A332305

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays x(i,j) with row sums sum{j·x(i,j), j=1..k+1} nondecreasing, and column sums sum{i·x(i,j), i=1..n+1} nondecreasing. A232831

a(n) = ∑_i=0..n digsum₆(i)⁴, where digsum₆(i) = A053827(i). A231675

a(n) = ∑_i=0..n digsum₇(i)⁴, where digsum₇(i) = A053828(i). A231679

Triangle read by rows: T(n, k) = A084029(n, k)/n. A84033

Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 4. A209988

Number of partitions p of n such that (number of numbers in p of form 3k) = (number of numbers in p of form 3k+1). A241744

Numbers k for which 10k + 1, 10k + 3, 10k + 7, 10k + 9 and 10k + 13 are primes. A178084

Numbers k such that sopfr(k) = τ(k)². A305026