Properties of the Number 17945

Seventeen Thousand Nine Hundred Forty-Five

Basics

Value: 17944 → 17945 → 17946

Parity: odd

Prime: No

Previous Prime: 17939

Next Prime: 17957

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 37 × 97

Divisors: 1, 5, 37, 97, 185, 485, 3589, 17945

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011000011001

Octal: 43031

Duodecimal: A475

Hexadecimal: 4619

Square: 322023025

Square Root: 133.9589489358587

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 of subsets S of {1,2,...,n} which contain a number that is greater than the sum of the other numbers in S. A95944

Numbers k such that k![4] + 2 is prime, where k![4] = A007662(k) = quadruple factorial. A283553

Numbers of the form p·q*r where p, q, r are distinct primes congruent to 1 mod 4 such that Legendre(p/q) = Legendre(p/r) = Legendre(q/r) = -1. A323271

Number of length-n binary vectors beginning with 0, ending with 1, and avoiding 4 consecutive 0's and 4 consecutive 1's. A283834

Product of successive primes minus 2. A124669

Retrograde trajectory of 13 under map n -> A132948(n). A132947

Numbers whose Euler totient function is equal to the product of the number of divisors of their k first powers, for some k. A283759

Primitive terms of A338890. A338892

Diagonal sums of number triangle A110180. A110182

Sum of distinct residues of all factorials mod 2ⁿ. A210337