Properties of the Number -3367

Three Hundred Sixty-Seven

Basics

Value: -3368 → -3367 → -3366

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 13 × 37

Divisors: 1, 7, 13, 37, 91, 259, 481, 3367

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: -110100100111

Octal: -6447

Duodecimal: -1B47

Hexadecimal: -d27

Square: 11336689

Square Root: 58.02585630561603

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

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of ∏_j>=1 (1 - j^k*x^j). A292166

G.f. A(x) defined by: A(x)⁹ consists entirely of integer coefficients between 1 and 9 (A083949); A(x) is the unique power series solution with A(0)=1. A84209

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 233", based on the 5-celled von Neumann neighborhood. A270979

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 329", based on the 5-celled von Neumann neighborhood. A271276

Expansion of ∑_k>=0 x^k / ∏_j=1..k (1 + x^j)^j. A306703

Hex (or centered hexagonal) numbers: 3·n*(n+1)+1 (crystal ball sequence for hexagonal lattice). A3215

Heptagonal numbers (or 7-gonal numbers): n*(5·n-3)/2. A566

a(n) = 4ⁿ - 3ⁿ. A5061

4-dimensional pyramidal numbers: a(n) = (3·n+1)*binomial(n+2, 3)/4. Also Stirling2(n+2, n). A1296

Square array of nexus numbers a(n,k) = (n+1)^k+1 - n^k+1 (n >= 0, k >= 0) read by upwards antidiagonals. A47969