Properties of the Number 42245

Forty-Two Thousand Two Hundred Forty-Five

Basics

Value: 42244 → 42245 → 42246

Parity: odd

Prime: No

Previous Prime: 42239

Next Prime: 42257

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 7 × 17 × 71

Divisors: 1, 5, 7, 17, 35, 71, 85, 119, 355, 497

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010010100000101

Octal: 122405

Duodecimal: 20545

Hexadecimal: a505

Square: 1784640025

Square Root: 205.53588494469767

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

a(n) = n³ - n*(n+1)/2. A160378

a(n) = floor(7ⁿ / 2ⁿ) mod 2ⁿ. A211995

Partial sums of cuban primes A002407, that is, primes equal to the difference of two consecutive cubes. A221793

Triangle T(n,k), read by rows, giving the numerator of the coefficient of x^k in the Boros-Moll polynomial P_n(x) for n >= 0 and 0 <= k <=n. A223549

Expansion of 1/((1-x)²*(1-2·x)*(1-3·x)). A249999

Number of (w,x,y) with all terms in {0,...,n} and |w-x| + |x-y| + |y-w| < w+x+y. A213488

G.f. A(x) = ∑_n>=0 xⁿ/a(n) satisfies: A(x) = A(x²) + Integral A(x²) dx. A294640

Column 1 of triangle A104505, which is equal to the right-hand side of the triangle A084610 of coefficients in (1 + x - x²)ⁿ. A104506

StirlingS2[ n,m ] triangle summed down the columns. A36560

Denominators of continued fraction convergents to sqrt(648). A42245