Properties of the Number 78147

Seventy-Eight Thousand One Hundred Forty-Seven

Basics

Value: 78146 → 78147 → 78148

Parity: odd

Prime: No

Previous Prime: 78139

Next Prime: 78157

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 19 × 457

Divisors: 1, 3, 9, 19, 57, 171, 457, 1371, 4113, 8683

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000101000011

Octal: 230503

Duodecimal: 39283

Hexadecimal: 13143

Square: 6106953609

Square Root: 279.5478492136901

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..1 arrays with every element equal to 1, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A300146

Three-fold exponential convolution of Catalan numbers with themselves. A14333

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of e.g.f. exp(2·k*x)*(BesselI(0,2·x) - BesselI(1,2·x))^k. A294498

Number of nX5 0..1 arrays with every element equal to 1, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A300143

Number of nX6 0..1 arrays with every element equal to 1, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A300144

a(n) = (n⁴ - 10·n² + 15·n - 6)/2. A135916

Numbers that are formed using their own digits and addition and seventh power operators. A195674

First differences of sequence of nonsquarefree numbers, A013929. A78147