Properties of the Number 16955

Sixteen Thousand Nine Hundred Fifty-Five

Basics

Value: 16954 → 16955 → 16956

Parity: odd

Prime: No

Previous Prime: 16943

Next Prime: 16963

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 3391

Divisors: 1, 5, 3391, 16955

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001000111011

Octal: 41073

Duodecimal: 998B

Hexadecimal: 423b

Square: 287472025

Square Root: 130.2113666313352

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

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order. A205609

Number of integer partitions y of n whose rank Sum_i 2^y_i-1 is prime. A372688

a(n) = ∑_k=0..n-1 7^k*B(k)*binomial(n,k) where B(k) is the k-th Bernoulli number. A83011

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..3 introduced in row major order. A205440

Expansion of 1 / ((1-x)²*(1-x²)*(1-x³)*...*(1-x¹⁰)). A288345

Number of A095316-primes in range [2ⁿ,2ⁿ⁺¹]. A95326

Number of A095320-primes in range ]2ⁿ,2ⁿ⁺¹]. A95330

Numerator of Bernoulli(n, 1/7). A158334

Number of (n+1) X 2 0..3 arrays with every 2 X 2 subblock having the same number of equal edges, and new values 0..3 introduced in row major order. A205433

Number of blocks of size >= n in all set partitions of [2n]. A286896