Properties of the Number 37730

Thirty-Seven Thousand Seven Hundred Thirty

Basics

Value: 37729 → 37730 → 37731

Parity: even

Prime: No

Previous Prime: 37717

Next Prime: 37747

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 5 × 7 ³ × 11

Divisors: 1, 2, 5, 7, 10, 11, 14, 22, 35, 49

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001101100010

Octal: 111542

Duodecimal: 19A02

Hexadecimal: 9362

Square: 1423552900

Square Root: 194.24211695716252

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

Number T(n,k) of partitions of [n] having exactly k blocks of maximal size; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A372722

Numbers that define integer Heronian triangles [prime(a(n)), prime(a(n)+1), A068965(n)] with area A068966(n). A68964

A convolution triangle of numbers obtained from A034904. A132057

Related to sept-factorial numbers A045754. A34904

Triangle read by rows in which row n gives coefficients of polynomial R_n(y) that satisfies R_n(1/2) = 4ⁿ, where R_n(y) forms the initial (n+1) terms of g.f. A077860(y)ⁿ⁺¹. A97179

a(n) = number of integer strings s(0),...,s(n) counted by array T in A026386 that have s(n)=4; also a(n) = T(2n,n-2). A26389

Number of independent sets of nodes in the armchair (3,3) carbon nanotorus graph of breadth n (n>=1). A182141

Numbers n such that A279513(n) is a primorial number (A002110). A284889

Number of independent vertex sets (and vertex covers) in the 2n-crossed prism graph. A287327

Integer areas of the intangents triangle of integer-sided triangles. A231740