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Properties of the Number 77212

Seventy-Seven Thousand Two Hundred Twelve

Basics

Value: 77211 → 77212 → 77213

Parity: even

Prime: No

Previous Prime: 77201

Next Prime: 77213

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 2 × 97 × 199

Divisors: 1, 2, 4, 97, 194, 199, 388, 398, 796, 19303

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10010110110011100

Octal: 226634

Duodecimal: 38824

Hexadecimal: 12d9c

Square: 5961692944

Square Root: 277.87047342242033

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..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A239858
Let b(n) be the number of permutations {c1..cn} of {1..n} for which c1 - c2 + ... + (-1)n-1*cn are triangular numbers (A000217). Then a(n) = b(n)/A010551(n). A294811
Number of 5Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A239862
Number of nX7 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A239857
Values of k at which successive minima of tan(k)/k occur. A79331
a(n) = A077211(n)1/2. A77212