Properties of the Number 30827

Thirty Thousand Eight Hundred Twenty-Seven

Basics

Value: 30826 → 30827 → 30828

Parity: odd

Prime: No

Previous Prime: 30817

Next Prime: 30829

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 29 × 1063

Divisors: 1, 29, 1063, 30827

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100001101011

Octal: 74153

Duodecimal: 15A0B

Hexadecimal: 786b

Square: 950303929

Square Root: 175.57619428612753

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) = 2ⁿ - C(n,0) - ... - C(n,4). A2664

a(n) = ∑_k=0..10 binomial(n,k). A8863

Number of + signs needed to write the partitions of n (A000041) as sums. A76276

Augmentation of the Catalan triangle, A009766. See Comments. A193560

A hexagonal spiral Fibonacci sequence. A94925

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 1, 0), (1, 0, -1), (1, 0, 0)}. A149923

Number of planar n X n X n binary triangular grids with no more than 10 ones in any 5 X 5 X 5 subtriangle. A153544

Number of planar n X n X n binary triangular grids with no more than 10 ones in any similarly oriented 5 X 5 X 5 subtriangle. A153572

Square array, read by antidiagonals, where row n+1 is generated from row n by first removing terms in row n at positions {m*(m+1)/2, m>=0} and then taking partial sums, starting with all 1's in row 0. A152405

Sixth column (m=5) of triangle A060098. A60101