Properties of the Number 16903

Sixteen Thousand Nine Hundred Three

Basics

Value: 16902 → 16903 → 16904

Parity: odd

Prime: Yes

Previous Prime: 16901

Next Prime: 16921

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 16903

Divisors: 1, 16903

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001000000111

Octal: 41007

Duodecimal: 9947

Hexadecimal: 4207

Square: 285711409

Square Root: 130.011537949522

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

Primes of the form k² + 3. A49423

The first of two consecutive primes with equal digital sums. A66540

Primes p such that p-1 and p+1 each contain at least one cubed prime in their prime factorization. A162870

Integers i > 1 for which there is no prime p such that i is a solution mod p of x⁴ = 2. A65903

a(0) = 16, after which, if (2·a(n-1)) - 1 = ∏_{k >= 1} (p_k)^c_k then a(n) = ∏_{k >= 1} (p_k-1)^c_k, where p_k indicates the k-th prime, A000040(k). A246345

Prime numbers p for which the quintic polynomial x⁵ - x - 1 modulo p completely factors into linear polynomials. A135844

Prime numbers p not of the form 10·k+1 for which the quintic polynomial x⁵-x-1 modulus p is factorizable into five binomials. A135845

Numbers n such that the sum of the inverse of the exponents in the binary expansion of 2n is an integer. A272035

The prime numbers whose digit sum, adjacent digit sum concatenation, and adjacent digit difference concatenation are also primes. A330653

Triangle read by rows: T(n,k) is the number of irreducible words covering the alphabet [n] such that the maximal cardinality of C is k, where C is a subset of the alphabet such that all letters in C appear in weakly increasing order within the word. A390670