Properties of the Number 45984

Forty-Five Thousand Nine Hundred Eighty-Four

Basics

Value: 45983 → 45984 → 45985

Parity: even

Prime: No

Previous Prime: 45979

Next Prime: 45989

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 479

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011001110100000

Octal: 131640

Duodecimal: 22740

Hexadecimal: b3a0

Square: 2114528256

Square Root: 214.43880245888337

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)=6X6X6 triangular graph coloring a rectangular array: number of nXk 0..20 arrays where 0..20 label nodes of the fully triangulated graph and every array movement to a horizontal or vertical neighbor moves along an edge of this graph. A223370

Number of equivalence classes of Dyck paths of semilength n for the consecutive pattern UDUDD, where U=(1,1) and D=(1,-1). A317639

6 X 6 X 6 triangular graph coloring a rectangular array: number of n X 1 0..20 arrays where 0..20 label nodes of the fully triangulated graph and every array movement to a horizontal or vertical neighbor moves along an edge of this graph. A223363

6 X 6 X 6 triangular graph coloring a rectangular array: number of n X 6 0..20 arrays where 0..20 label nodes of the fully triangulated graph and every array movement to a horizontal or vertical neighbor moves along an edge of this graph. A223368

Numbers k such that 445·2^k+1 is prime. A323151

a(n) = smallest number m such that factorizations of n consecutive integers starting at m have same number of primes (counted with multiplicity). A45984

G.f. of the z² coefficients of the FP2 in the third column of the A156925 matrix. A156935