Properties of the Number 1653

One Thousand Six Hundred Fifty-Three

Basics

Value: 1652 → 1653 → 1654

Parity: odd

Prime: No

Previous Prime: 1637

Next Prime: 1657

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 19 × 29

Divisors: 1, 3, 19, 29, 57, 87, 551, 1653

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001110101

Octal: 3165

Duodecimal: B59

Hexadecimal: 675

Square: 2732409

Square Root: 40.65710270051225

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

Hexagonal numbers: a(n) = n*(2·n-1). A384

Number of points of norm <= n² in square lattice. A328

Irregular triangle read by rows: Take a regular n-sided polygon (n>=3) with all diagonals drawn, as in A007678. Then T(n,k) = number of k-sided polygons in that figure for k = 3, 4, ..., max_k. A331450

Numbers that are the sum of 8 positive 6th powers. A3364

Number of divisors of nⁿ, or of A000312(n). A62319

a(n) = (2·n+1)*(4·n+1). A14634

Squarefree numbers with a divisor having the same sum of prime indices as their quotient. A357854

Number of triangular regions in regular n-gon with all diagonals drawn. A62361

Numbers k such that the half-alternating sum of the prime indices of k is 0. A357631

Staggered diagonal of triangular spiral in A051682. A81266