Properties of the Number 1353

One Thousand Three Hundred Fifty-Three

Basics

Value: 1352 → 1353 → 1354

Parity: odd

Prime: No

Previous Prime: 1327

Next Prime: 1361

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 41

Divisors: 1, 3, 11, 33, 41, 123, 451, 1353

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001001

Octal: 2511

Duodecimal: 949

Hexadecimal: 549

Square: 1830609

Square Root: 36.78314831549904

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

a(n) = 2·n² + 1. A58331

Numbers k such that 3^k - 2 is prime. A14224

Triangle T(n,k), 0 <= k <= n, read by rows, defined by: T(0,0)=1, T(n,k)=0 if n < k, T(n,k) = T(n-1,k-1) + T(n-1,k) + T(n-1,k+1). A64189

Motzkin triangle, T, read by rows; T(0,0) = T(1,0) = T(1,1) = 1; for n >= 2, T(n,0) = 1, T(n,k) = T(n-1,k-2) + T(n-1,k-1) + T(n-1,k) for k = 1,2,...,n-1 and T(n,n) = T(n-1,n-2) + T(n-1,n-1). A26300

Sum of all parts of the last section of the set of partitions of n. A138879

Coordination sequence for "hal" 3D uniform tiling. A299274

Generalized ballot numbers (first differences of Motzkin numbers). A2026

a(n) = Fibonacci(5·n)/5. A49666

a(n) = n*(n+8). A28566

Number of labeled graphs covering the vertex set {1,...,n} with no crossing edges. A324169