Properties of the Number 39772

Thirty-Nine Thousand Seven Hundred Seventy-Two

Basics

Value: 39771 → 39772 → 39773

Parity: even

Prime: No

Previous Prime: 39769

Next Prime: 39779

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 61 × 163

Divisors: 1, 2, 4, 61, 122, 163, 244, 326, 652, 9943

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001101101011100

Octal: 115534

Duodecimal: 1B024

Hexadecimal: 9b5c

Square: 1581811984

Square Root: 199.42918542680758

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 of partitions of n having no parts with multiplicity 3. A118807

G.f. satisfies A(x) = 1 + x·A(x)² / (1 - x·A(x))³. A365150

Triangle of coefficients of the polynomials (1 - x)ⁿ*A(n,x/(1 - x)), where A(n,x) are the Eulerian polynomials of A008292. A141720

Pentagonal numbers with prime indices. A116995

Pentagonal numbers (A000326) whose digit reversal is a prime. A115707

Values of Newton-Gregory forward interpolating polynomial (1/3)*(2·n-7)*(2·n²-11·n+18). A30434

Values of Newton-Gregory forward interpolating polynomial (1/3)*(2·n - 3)*(2·n² - 3·n + 4). A30441

Coefficients of a polynomial used in calculation of A055913. A55916

Irregular triangle, T(n, k) = [x^k] p(n, x), where p(n, x) = 4*∑_j=0..n A008292(n+1, j) * (x/2)^j * (1-x/2)^n-j, read by rows. A147563

a(n) = 3^n-1*(6·3^n-1 + 5) + 1. A169725