Properties of the Number 30800

Thirty Thousand Eight Hundred

Basics

Value: 30799 → 30800 → 30801

Parity: even

Prime: No

Previous Prime: 30781

Next Prime: 30803

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 5 ² × 7 × 11

Divisors: 1, 2, 4, 5, 7, 8, 10, 11, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100001010000

Octal: 74120

Duodecimal: 159A8

Hexadecimal: 7850

Square: 948640000

Square Root: 175.49928774784243

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

4-dimensional figurate numbers: a(n) = n·binomial(n+2, 3). A2417

Expansion of (1-x)^-3 * (1-x²)^-2. A2624

a(n) = |1³ - 2³ + 3³ - 4³ + ... + (-1)ⁿ⁺¹*n³|. A11934

Lesser of amicable pair m < n defined by t(n) = m and t(m) = n where t(n) = ψ(n) - n and ψ(n) = A001615(n) is the Dedekind ψ function. A323329

25-gonal pyramidal numbers: a(n) = n*(n+1)*(23·n-20)/6. A256645

Number of divisors of 240ⁿ. A103532

Triangle T, read by rows, where T(n,k) = ∑_j=1..n-k-1 [T^j](n-1,k) with T(n+1,n) = n+1 and T(n,n)=0 for n>=0, where Tⁿ denotes the n-th matrix power of T. A132623

Numbers k for which A306927(k) [= A001615(k)-k] is a multiple of A344705(k) [= A001615(k)-A001065(k)], and their quotient is nonnegative. A344700

Triangle T(n,k) of number of minimal 4-covers of a labeled n-set that cover k points of that set uniquely (k=4,..,n). A57965

Triangle T, read by rows, where T(n,k) = A008544(n-k)*C(n,k) where A008544 equals the triple factorials in column 0. A136216