Properties of the Number 36987

Thirty-Six Thousand Nine Hundred Eighty-Seven

Basics

Value: 36986 → 36987 → 36988

Parity: odd

Prime: No

Previous Prime: 36979

Next Prime: 36997

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 12329

Divisors: 1, 3, 12329, 36987

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000001111011

Octal: 110173

Duodecimal: 194A3

Hexadecimal: 907b

Square: 1368038169

Square Root: 192.3200457570661

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..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order. A222986

Column 3 of square table A093729; a(n) gives the number of n-th generation descendents of a node labeled (3) in the tree of tournament sequences, for n>=0. A113077

Square table T, read by antidiagonals, where T(n,k) gives the number of n-th generation descendents of a node labeled (k) in the tree of tournament sequences. A93729

Numerators of continued fraction convergents to sqrt(704). A42354

Number of n X 7 0..2 arrays with no more than floor(n·7/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order. A222985

Number of 3Xn 0..2 arrays with no more than floor(3Xn/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order. A222988

Proceed counterclockwise on the outer keys of a numeric keypad (i.e., 1,2,3,6,9,8,7,4): first single digits, then concatenate two digits, then three, etc. A249182

Fredholm-Rueppel sequence. A36987

Number of (n+1) X 4 0..3 arrays with every 2 X 3 or 3 X 2 subblock having an unequal number of clockwise and counterclockwise edge increases. A207794