Properties of the Number 3234

Three Thousand Two Hundred Thirty-Four

Basics

Value: 3233 → 3234 → 3235

Parity: even

Prime: No

Previous Prime: 3229

Next Prime: 3251

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 7 ² × 11

Divisors: 1, 2, 3, 6, 7, 11, 14, 21, 22, 33

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110010100010

Octal: 6242

Duodecimal: 1A56

Hexadecimal: ca2

Square: 10458756

Square Root: 56.868268832451726

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

Pentagonal numbers multiplied by 2: a(n) = n*(3·n-1). A49450

Number of double-free integer partitions of n. A323092

Coefficient triangle of certain polynomials N(4; m,x). A62264

a(n) = 7·a(n-1) - 14·a(n-2) + 7·a(n-3) with a(1)=7, a(2)=21, a(3)=70. A215494

Triangle read by rows: T(m,n) = ∑_{-m<i<m, -n<j<n, gcd{i,j}=1} (m-|i|)*(n-|j|), m >= n >= 1. A332350

a(n) = (n+1)*binomial(n+5, 5). A27810

G.f. satisfies A(x) = 1 + x*(1 + 1/A(x)³). A364407

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 5 multiples of n-1, n-2, ..., 1, for n>=1. A113742

Right-angled numbers with an internal digit as the vertex. A135602

a(n) = ∏_{d∣n, d>1} A000040(A297113(d)), where A000040(n) gives the n-th prime, and A297113(n) = the excess of n plus the index of the largest dividing prime (A046660 + A061395). A332461