Properties of the Number 61139

Sixty-One Thousand One Hundred Thirty-Nine

Basics

Value: 61138 → 61139 → 61140

Parity: odd

Prime: No

Previous Prime: 61129

Next Prime: 61141

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 13 × 4703

Divisors: 1, 13, 4703, 61139

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110111011010011

Octal: 167323

Duodecimal: 2B46B

Hexadecimal: eed3

Square: 3737977321

Square Root: 247.2630178575033

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 unequal to 0, 1, 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero. A305530

Number of positive terms in row n of A082268. A82269

Expansion of c(x²-x³), c(x) the g.f. of A000108. A115399

Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero. A305526

Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero. A305527

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers >= 2), t = (F(2), F(3), F(4), ...). A24874

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (0, -1, 1), (0, 1, 1), (1, -1, -1)}. A148538

Number of degree-n odd permutations of order exactly 6. A61139