Properties of the Number 37100

Thirty-Seven Thousand One Hundred

Basics

Value: 37099 → 37100 → 37101

Parity: even

Prime: No

Previous Prime: 37097

Next Prime: 37117

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 5 ² × 7 × 53

Divisors: 1, 2, 4, 5, 7, 10, 14, 20, 25, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000011101100

Octal: 110354

Duodecimal: 19578

Hexadecimal: 90ec

Square: 1376410000

Square Root: 192.61360284258222

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

Lesser of amicable pair m < n defined by t(n) = m and t(m) = n where t(n) = ψ(n) - n and ψ(n) = A001615(n) is the Dedekind ψ function. A323329

Sum of the cubes of the parts in the partitions of n into two parts. A294270

Table T(n,k) giving number of two-legged knot diagrams with n >= 0 self-intersections and k >= 0 tangencies, read by antidiagonals. A67640

a(n) = n*(16·n² + 3·n - 13)/6. A172078

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300689

a(n) = A273059(4n). A275916

a(n) = floor(n*(n-1)*(n-2)*(n-3)/30). A11940

Row 3 of table in A067640. A67638

Number of (w,x,y,z) with all terms in {1,...,n} and w>2x and y<3z. A212516

Column 2 of table in A067640. A67642