Properties of the Number 42844

Forty-Two Thousand Eight Hundred Forty-Four

Basics

Value: 42843 → 42844 → 42845

Parity: even

Prime: No

Previous Prime: 42841

Next Prime: 42853

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 10711

Divisors: 1, 2, 4, 10711, 21422, 42844

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011101011100

Octal: 123534

Duodecimal: 20964

Hexadecimal: a75c

Square: 1835608336

Square Root: 206.98792235297208

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

Consider a non-palindromic number of k digits n = d_k*10^k-1 + d_k-1*10^k-2 + … + d₂*10 + d₁. Sequence lists the numbers n such that ∑_i=1..k-1{φ(∑_j=1..i{d_j*10^j-1})} = ∑_i=1..k-1{φ(∑_j=1..i{d_k-j+1*10^i-j})} (see example below). A241503

Number of partitions of n into distinct parts with 3 levels of parentheses. A50344

Triangle read by rows: T(n, k, m) = binomial(n, k) - m·binomial(n, k)*binomial(n+1, k)/(k+1) + m·A008292(n+1, k+1) with m = 3. A178346

Number of (n+5)X(n+5) 0..1 matrices with each 6X6 subblock idempotent. A224569

Numerators of continued fraction convergents to sqrt(953). A42844