Properties of the Number 61686

Sixty-One Thousand Six Hundred Eighty-Six

Basics

Value: 61685 → 61686 → 61687

Parity: even

Prime: No

Previous Prime: 61681

Next Prime: 61687

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 23 × 149

Divisors: 1, 2, 3, 6, 9, 18, 23, 46, 69, 138

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111000011110110

Octal: 170366

Duodecimal: 2B846

Hexadecimal: f0f6

Square: 3805162596

Square Root: 248.36666442983045

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

Numbers k such that k⁴⁰⁹⁶ + 1 is prime (a generalized Fermat prime). A88362

Number of different configurations of cycles (loops) in graphs containing directed and undirected links. A117747

Coefficients of the twisted K3 elliptic genus attached to the conjugacy class 1A in the Mathieu group M₂₄. A212301

Triangular matrix T, read by rows, that satisfies: [T^-k](n,k) = -T(n,k-1) for n >= k > 0, or, equivalently, (column k of T^-k) = -SHIFT_LEFT(column k-1 of T) when zeros above the diagonal are ignored. Also, matrix inverse of triangle A107876. A107889

a(n) = 225·n² - 199·n + 44. A156812

Number of (n+2) X (5+2) 0..3 arrays with every 3 X 3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5. A251902

Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5. A251903

Number of sequences of n numbers from 1 to n that do not have a subsequence that adds up to n. A336433

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5. A251905

Generalized Bell numbers: column 5 of A275043. A61686