Properties of the Number 78414

Seventy-Eight Thousand Four Hundred Fourteen

Basics

Value: 78413 → 78414 → 78415

Parity: even

Prime: No

Previous Prime: 78401

Next Prime: 78427

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 × 1867

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 1867, 3734

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10011001001001110

Octal: 231116

Duodecimal: 39466

Hexadecimal: 1324e

Square: 6148755396

Square Root: 280.0249988840282

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

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 4,3,1,0,2 for x=0,1,2,3,4. A196904

Sum of squares of consecutive positive noncubes. A158527

a(n) = 196·n² + 14. A158555

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 40. A31718

Number of n X 3 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 4,3,1,0,2 for x=0,1,2,3,4. A196899

a(n) = (a(n-1)+a(n-2))/7^k, where 7^k is the highest power of 7 dividing a(n-1)+a(n-2). A78414

G.f. satisfies: A(x/A(x)) = 1 + x·A(x). A145345

G.f.: exp( ∑_n>=1 A163659(n³)*xⁿ/n ), where x·exp(∑_n>=1 A163659(n)*xⁿ/n) = S(x) is the g.f. of Stern's diatomic series (A002487). A237646