Properties of the Number 30628

Thirty Thousand Six Hundred Twenty-Eight

Basics

Value: 30627 → 30628 → 30629

Parity: even

Prime: No

Previous Prime: 30593

Next Prime: 30631

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 13 × 19 × 31

Divisors: 1, 2, 4, 13, 19, 26, 31, 38, 52, 62

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011110100100

Octal: 73644

Duodecimal: 15884

Hexadecimal: 77a4

Square: 938074384

Square Root: 175.00857121866918

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) = larger member of n-th pair of distinct, positive, triangular numbers whose sum and difference are also triangular numbers. A185128

Triangular numbers which have one or more occurrences of exactly five different digits. A241788

The intersection of hexagonal numbers (A000384) and centered 9-gonal numbers (A060544). A272399

Triangular numbers of the form k² + 3. A328791

Semiperimeter of the unique primitive Pythagorean triple whose inradius is A000032(n) and such that its long leg and its hypotenuse are consecutive natural numbers. A380823

Ramanujan's approximation to population of x² + y² <= 2ⁿ. A691

Triangular numbers whose digit permutations yield at least two further triangular numbers. A69674

a(1) = 1, a(n+1)= smallest triangular number greater than the n-th partial sum. A76971

Expansion of ∏_k>=1 (1 - 2·x^k)/(1 + 2·x^k). A303397

Degrees of irreducible representations of Thompson group Th. A3916