Properties of the Number 1984

One Thousand Nine Hundred Eighty-Four

Basics

Value: 1983 → 1984 → 1985

Parity: even

Prime: No

Previous Prime: 1979

Next Prime: 1987

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁶ × 31

Divisors: 1, 2, 4, 8, 16, 31, 32, 62, 64, 124

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111000000

Octal: 3700

Duodecimal: 1194

Hexadecimal: 7c0

Square: 3936256

Square Root: 44.54211490264017

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

4 times triangular numbers: a(n) = 2·n*(n+1). A46092

Number of partitions of n into at most 1 copy of 1, 2 copies of 2, 3 copies of 3, ... . A52335

Numbers that are divisible by exactly 7 primes counting multiplicity. A46308

Coordination sequence for 3D uniform tiling formed by stacking parallel layers of the 3.6.3.6 2D tiling (cf. A008579). A299256

a(n) = σ(n)*φ(n). A62354

Number of integer compositions of n whose leaders of anti-runs are identical. A374517

Numbers n such that Bernoulli number B_n has denominator 510. A271634

Nonunitary perfect numbers: k is the sum of its nonunitary divisors; i.e., k = σ(k) - usigma(k). A64591

4 times hexagonal numbers: a(n) = 4·n*(2·n-1). A85250

Number of multiset partitions of normal multisets of size n such that the blocks have empty intersection. A317752