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Properties of the Number 13405

Thirteen Thousand Four Hundred Five

Basics

Value: 13404 → 13405 → 13406

Parity: odd

Prime: No

Previous Prime: 13399

Next Prime: 13411

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 7 × 383

Divisors: 1, 5, 7, 35, 383, 1915, 2681, 13405

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 11010001011101

Octal: 32135

Duodecimal: 7911

Hexadecimal: 345d

Square: 179694025

Square Root: 115.77996372429904

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

Numbers k such that binomial(2k,k)+1 is prime. A66699
T(n,k)=Number of -k..k arrays of n elements with first and second differences also in -k..k. A201088
G.f.: ∑n>=0 xn * ∏k=1..n (1+xk)/(1-xk). A207641
T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with the maximum plus the upper median minus the lower median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one. A238298
Products of 3 distinct safe primes. A157354
Number of -7..7 arrays of n elements with first and second differences also in -7..7. A201087
Number of -n..n arrays of 4 elements with first and second differences also in -n..n. A201089
Number of (n+1) X (1+1) 0..3 arrays with the maximum plus the upper median minus the lower median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one. A238293
Number of (n+1)X(3+1) 0..3 arrays with the maximum plus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A238295
Expansion of (x/(8 * (1-x))) * d/dx(theta3(x)4). A374535