Properties of the Number 17940

Seventeen Thousand Nine Hundred Forty

Basics

Value: 17939 → 17940 → 17941

Parity: even

Prime: No

Previous Prime: 17939

Next Prime: 17957

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 5 × 13 × 23

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 13, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100011000010100

Octal: 43024

Duodecimal: A470

Hexadecimal: 4614

Square: 321843600

Square Root: 133.94028520202576

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 k divides 1 + ∑_j=1..k prime(j)² = 1 + A024450(k). A128166

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 2 + 5·x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - 2·x - x². A367299

Numbers k such that the k-th composition in standard order is an alternating permutation of {1..k} for some k. A349051

Sum of all the parts in the partitions of n into 9 parts. A326464

The smallest magic constant of an n X n magic square with distinct prime entries. A164843

Numbers that are the sum of six fourth powers in four or more ways. A345561

Numbers that are the sum of six fourth powers in exactly four ways. A345816

Numbers k such that sopfr(k)=τ(k). A78511

Numbers k such that ω(k) = 5 and the largest prime factor of k equals the sum of its remaining distinct prime factors, where ω(k) = A001221(k). A383729

Numbers k such that both k and k² are sums of a twin prime pair. A213784