Properties of the Number 3784

Three Thousand Seven Hundred Eighty-Four

Basics

Value: 3783 → 3784 → 3785

Parity: even

Prime: No

Previous Prime: 3779

Next Prime: 3793

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 11 × 43

Divisors: 1, 2, 4, 8, 11, 22, 43, 44, 86, 88

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111011001000

Octal: 7310

Duodecimal: 2234

Hexadecimal: ec8

Square: 14318656

Square Root: 61.514225996918796

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: Yes

Fermat Number: No

Cullen Number: No

OEIS Sequences

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

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

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

a(n) = p(1)p(n) + p(2)p(n-1) + ... + p(k)p(n+1-k), where k = [ (n+1)/2 ], p = A000040 = the primes. A24697

Number of integer partitions of n > 0 where the maximum part equals the length minus the number of distinct parts. A324518

a(n) = p(1)p(n) + p(2)p(n-1) + ... + p(k)p(n-k+1), where k = [ n/2 ], p = A000040, the primes. A25129

Vampire numbers: (definition 1): n has a nontrivial factorization using n's digits. A20342

Numbers k such that k² is palindromic in base 7. A29992

a(n) = ∑_{k <= n/2} binomial(n-2k, 3k). A137356

Multiples of 11 whose digit sum is a multiple of 11. A216995