Properties of the Number 42845

Forty-Two Thousand Eight Hundred Forty-Five

Basics

Value: 42844 → 42845 → 42846

Parity: odd

Prime: No

Previous Prime: 42841

Next Prime: 42853

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 × 11 × 19 × 41

Divisors: 1, 5, 11, 19, 41, 55, 95, 205, 209, 451

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010011101011101

Octal: 123535

Duodecimal: 20965

Hexadecimal: a75d

Square: 1835694025

Square Root: 206.990337938755

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 integer partitions of n with a different mean, median, and mode, assuming there is a unique mode. A363725

Quintisection A061037(5·n+2). A165248

a(1) = 2; for n>1, a(n)=SENSigma(a(n-1)), where SENSigma(m) = (-1)^{(Sum_i r_i}+ω(m))*∑_d∣m (-1)^{(Sum_j Max(r_j})+ω(d))*d = Product_i (∑_{1<=s_i<=r_i} p_i^s_i)+(-1)^r_i+1 if m=Product_i p_i^r_i, d=Product_j p_j^r_j, p_j^max(r_j) is the largest power of p_j dividing m. A125141

Eight white kings and one red king on a 3 X 3 chessboard. G.f.: (1 + 2·x)/(1 - 3·x - 7·x²). A179602

a(n) = (6·n+1)*(6·n+5). A1513

a(n) = (8·n+5)*(8·n+9). A146302

Number of n-bead necklaces labeled with numbers 1..3 allowing reversal, with no adjacent beads differing by more than 1. A208716

Primes p such that 2·p + 11 is a square. A269784

Denominators of continued fraction convergents to sqrt(953). A42845