Properties of the Number 3396

Three Thousand Three Hundred Ninety-Six

Basics

Value: 3395 → 3396 → 3397

Parity: even

Prime: No

Previous Prime: 3391

Next Prime: 3407

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 283

Divisors: 1, 2, 3, 4, 6, 12, 283, 566, 849, 1132

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110101000100

Octal: 6504

Duodecimal: 1B70

Hexadecimal: d44

Square: 11532816

Square Root: 58.27520913733386

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

Number T(n,k) of collections of nonempty multisets with a total of n objects of exactly k colors; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A255903

Numbers n such that 97 is the largest prime factor of n² - 1. A181470

Number of primes in the interval [prime(n), prime(n)²]. A54272

Rectangular table where column k equals row sums of matrix power A078121^k, read by antidiagonals. A125790

T(n,k)=Number of -k..k arrays x(0..n+1) of n+2 elements with zero sum and nonzero second differences. A200553

Expansion of 1 / ((1-x)²*(1-x²)*(1-x³)*(1-x⁴)). A2621

a(n) = 2·n² + n - 7. A100041

a(1) = 1; a(n+1) = 1 + sum{k∣n} a(k), sum is over the positive divisors, k, of n. A68336

Numbers k such that 4·k! + 1 is prime. A76680

Array read by antidiagonals: T(n,k) is the number of series-reduced rooted trees with n leaves of k colors. A319254