Properties of the Number 77821

Seventy-Seven Thousand Eight Hundred Twenty-One

Basics

Value: 77820 → 77821 → 77822

Parity: odd

Prime: No

Previous Prime: 77813

Next Prime: 77839

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 59 × 1319

Divisors: 1, 59, 1319, 77821

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010111111111101

Octal: 227775

Duodecimal: 39051

Hexadecimal: 12ffd

Square: 6056108041

Square Root: 278.9641554035213

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

Aitken's array: triangle of numbers {a(n,k), n >= 0, 0 <= k <= n} read by rows, defined by a(0,0)=1, a(n,0) = a(n-1,n-1), a(n,k) = a(n,k-1) + a(n-1,k-1). A11971

Second differences of Bell numbers. A11965

Mirror image of the Bell triangle A011971, which is also called the Pierce triangle or Aitken's array. A123346

Sequence formed by reading rows of triangle defined in A011971. A11972

Triangle T(n,k) is the number of restricted growth strings (RGS) of set partitions of {1..n} that have an increase at index k (1<=k<n). A56861

A000110 / (1,2,3,...): (convolved with (1,2,3,...) = Bell numbers). A154108

Convolution triangle by rows, A004736 * (A154108·0^n-k); row sums = Bell numbers. A154109

Expansion of 1/((1-3·x-3·x²-3·x³)*(1-x)). A77821