Properties of the Number 4984

Four Thousand Nine Hundred Eighty-Four

Basics

Value: 4983 → 4984 → 4985

Parity: even

Prime: No

Previous Prime: 4973

Next Prime: 4987

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 7 × 89

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 89, 178

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001101111000

Octal: 11570

Duodecimal: 2A74

Hexadecimal: 1378

Square: 24840256

Square Root: 70.59745037889117

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

Triangular matrix T, read by rows, where row n of T equals row (n-1) of Tⁿ⁺¹ with an appended '1'. A121412

Triangular matrix T, read by rows, where row n equals row (n-1) of T^n-1 after appending '1' for the main diagonal. A101479

Number of partitions of n having (sum of odd parts) = (sum of even parts). A239261

Number T(n,k) of set partitions of [n] with maximal block length multiplicity equal to k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A271423

a(n) = 8·a(n-1) + 8·a(n-2), n > 2, a(0)=1, a(1)=7, a(2)=63. A155132

a(n) = (9·n² + 5·n + 2)/2. A64225

Column 1 of triangle A121412, in which row n of T equals row (n-1) of Tⁿ⁺¹ with an appended '1'. A121413

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237567

Number of integer compositions of n with all prime run-lengths. A353401

G.f. A(x,y) satisfies: x·y*A(x,y) = ∑_n=-oo..+oo (-1)ⁿ * x^n*(n+1/2) * A(x,y)ⁿ, with coefficients T(n,k) of xⁿ*y^k in A(x,y) given as a triangle read by rows. A355360