Properties of the Number 27978

Twenty-Seven Thousand Nine Hundred Seventy-Eight

Basics

Value: 27977 → 27978 → 27979

Parity: even

Prime: No

Previous Prime: 27967

Next Prime: 27983

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 4663

Divisors: 1, 2, 3, 6, 4663, 9326, 13989, 27978

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110101001010

Octal: 66512

Duodecimal: 14236

Hexadecimal: 6d4a

Square: 782768484

Square Root: 167.2662548154887

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

a(n) is the solution to the postage stamp problem with 4 denominations and n stamps. A1209

Expansion of ψ(x⁴) / f(-x) in powers of·where ψ(), f() are Ramanujan θ functions. A226635

Number of non-isomorphic multiset partitions of weight n with no constant parts and only two distinct vertices. A323654

G.f.: A(x,y) = ∑_n>=0 xⁿ * ((1+x)ⁿ + y)ⁿ, where A(0) = 0, as a triangle of coefficients T(n,k) of xⁿ*y^k in A(x,y) = ∑_n>=0 xⁿ * ∑_k=0..n T(n,k)*xⁿ*y^k, read by rows. A325580

Irregular triangle read by rows: T(n,k) (n >= 1, 0 <= k <= [n/2]) = number of permutations of 1..n with [n/2]-k runs of consecutive pairs up and down (divided by 2). A10030

Number of permutations of length n by rises. A1282

McKay-Thompson series of class 18f for the Monster group. A58544

McKay-Thompson series of class 18g for the Monster group. A112156

Number of 4Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 1 1 vertically. A207348

Lesser of 2 successive sphenic numbers (k, k+4) sandwiching 3 consecutive nonsquarefree numbers. A363830