Properties of the Number 36872

Thirty-Six Thousand Eight Hundred Seventy-Two

Basics

Value: 36871 → 36872 → 36873

Parity: even

Prime: No

Previous Prime: 36871

Next Prime: 36877

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 11 × 419

Divisors: 1, 2, 4, 8, 11, 22, 44, 88, 419, 838

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001000000001000

Octal: 110010

Duodecimal: 19408

Hexadecimal: 9008

Square: 1359544384

Square Root: 192.0208322031753

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 odious primes (A027697) in range ]2ⁿ,2ⁿ⁺¹]. A95005

Numbers k such that if x = σ(k) + τ(k) - k then k = σ(x) + τ(x) - x. A238226

Triangle read by rows: T(n,k) is the number of unlabeled connected multigraphs with n edges on k nodes and degree >= 3 at each node, loops allowed, n >= 2, 1 <= k <= floor(2·n/3). A360862

Sums of 3 distinct powers of 8. A38485

a(n) = n*(8·n² + 1)/3. A143166

A generalized Chebyshev transform of the Motzkin numbers A001006. A174169

Triangle of coefficients of polynomials v(n,x) jointly generated with A210221; see the Formula section. A210599

Define a(1)=0, a(2)=0, a(3)=3, a(4)=7 such that from i=1 to 4: 30·a(i)² + 30·a(i) + 1 = j(i)², j(1)=1, j(2)=1, j(3)=19, j(4)=41 Then a(n) = a(n-4) + 4·sqrt(30*(a(n-2)²) + 30·a(n-2) + 1). A103737

a(n) = 64·n² + 8. A158488

Lesser members of dihedral amicable pairs: numbers (m, k) such that t(m) = t(k) = m + k, where t(k) = σ(k) + d(k). A320457