Properties of the Number 42377

Forty-Two Thousand Three Hundred Seventy-Seven

Basics

Value: 42376 → 42377 → 42378

Parity: odd

Prime: No

Previous Prime: 42373

Next Prime: 42379

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 31 × 1367

Divisors: 1, 31, 1367, 42377

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010010110001001

Octal: 122611

Duodecimal: 20635

Hexadecimal: a589

Square: 1795810129

Square Root: 205.85674630674603

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 whose conjugate has the same median. A363220

s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Fibonacci numbers), t = A001950 (upper Wythoff sequence). A24465

s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Fibonacci numbers), t = A001950 (upper Wythoff sequence). A25085

G.f. satisfies: A(x) = (1 + x*(1-x)*A(x)) * (1 + x²*A(x)²). A216616

Consider a 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{σ(∑_j=1..i{d_k-j+1*10^i-j})} (see example below). A244069

Denominators of continued fraction convergents to sqrt(715). A42377