Properties of the Number 8078

Eight Thousand Seventy-Eight

Basics

Value: 8077 → 8078 → 8079

Parity: even

Prime: No

Previous Prime: 8069

Next Prime: 8081

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 7 × 577

Divisors: 1, 2, 7, 14, 577, 1154, 4039, 8078

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111110001110

Octal: 17616

Duodecimal: 4812

Hexadecimal: 1f8e

Square: 65254084

Square Root: 89.87769467448528

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 first differences (assuming the last part is zero) are unimodal. A332283

G.f. satisfies: A(x) = (1 + x·A(x))*(1 + x²*A(x)⁴). A198957

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 2,0,1,1,1 for x=0,1,2,3,4. A197280

Triangle read by rows: T(n,k) is the number of derangements of {1,2,...,n} having genus k (see first comment for definition of genus). A178514

Prime sieve of the square root of 2. A248831

A self-generating sequence: every positive integer occurs as a(i)-a(j) for a unique pair i,j. A1856

Denominators of continued fraction convergents to sqrt(163). A41301

Pell numbers A000129 without last digit. A131727

Sum of the second largest parts s of the partitions of n into 4 parts q,r,s,t such that 1 <= q <= r <= s <= t and q + r + s > t. A340248

Numbers n such that n and its reversal are both multiples of 14. A62904