Properties of the Number 16983

Sixteen Thousand Nine Hundred Eighty-Three

Basics

Value: 16982 → 16983 → 16984

Parity: odd

Prime: No

Previous Prime: 16981

Next Prime: 16987

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 17 × 37

Divisors: 1, 3, 9, 17, 27, 37, 51, 111, 153, 333

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100001001010111

Octal: 41127

Duodecimal: 99B3

Hexadecimal: 4257

Square: 288422289

Square Root: 130.31883977384084

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 4-line partitions of n (i.e., planar partitions of n with at most 4 lines). A2799

One seventh of deca-factorial numbers. A35276

T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally or vertically adjacent to 1 or 4 1s. A295120

Number of (unordered) ways of making change for n cents using coins of 1/2, 1, 2, 3, 5, 10, 20, 25, 50, 100 cents (all historical U.S.A. coinage denominations up to 100 cents). A67997

G.f. satisfies: A(x) = x³ - x + Series_Reversion(x - x·A(x)). A212919

The greater of the lexicographically least pair (x, y) such that 0 < x < y and σ(x) = σ(y) = n + x + y. A285890

Number of binary words of length n containing at least one subword 1000001 and no subwords 10ⁱ1 with i<5. A143285

Numbers n that divide the sum of digits of 36ⁿ. A220364

a(n) = n³ - 3*(n+3)². A153260

Number of n X 3 0..1 arrays with each 1 horizontally or vertically adjacent to 1 or 4 1s. A295115