Properties of the Number -3303

Three Hundred Three

Basics

Value: -3304 → -3303 → -3302

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 367

Divisors: 1, 3, 9, 367, 1101, 3303

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -110011100111

Octal: -6347

Duodecimal: -1AB3

Hexadecimal: -ce7

Square: 10909809

Square Root: 57.47173218200405

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

Expansion of η(q)⁹ * η(q⁵)³ in powers of q. A227900

Triangle of polynomial coefficients of p(x,n) = ∑_k=0..n (k + 1)ⁿ * k! * binomial(x, k), read by rows. A176665

Centered octahedral numbers (crystal ball sequence for cubic lattice). A1845

a(n) = C(n,1) + C(n,2) + C(n,3), or n*(n² + 5)/6. A4006

Number of integer partitions of n such that the greatest part is the unique mode. A362612

Number of integer partitions of n that have an even number of parts and cannot be partitioned into distinct pairs of not necessarily distinct parts. A338915

Numbers k such that p(k), p(k)+6, p(k)+12, p(k)+18 are consecutive primes, where p(k) denotes k-th prime. A90832

Total number of zero digits in first 10ⁿ primes. A119291

Number of partitions of n containing a clique of size 6. A183563

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,0 1,1 0,-1 -1,1 or 0,-2. A264244