Properties of the Number 39210

Thirty-Nine Thousand Two Hundred Ten

Basics

Value: 39209 → 39210 → 39211

Parity: even

Prime: No

Previous Prime: 39209

Next Prime: 39217

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 × 1307

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 1307, 2614

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001100100101010

Octal: 114452

Duodecimal: 1A836

Hexadecimal: 992a

Square: 1537424100

Square Root: 198.01515093547766

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

Coordination sequence for 5-dimensional cubic lattice. A8413

Triangle read by rows: T(n,k) (1 <= k <= n) given by T(n, 1) = T(n,n) = 1, otherwise T(n, k) = (m·n-m·k+1)*T(n-1,k-1) + (m·k-m+1)*T(n-1,k), where m = 6. A142461

T(n,k)=Number of nXnXn triangular 0..k arrays with new values introduced in sequential zero-upwards order and exactly one inverted 2x2x2 triangle having values all different. A271246

Least k such that the first k terms of A006928 contain n more 2's than 1's. A25507

Triangle of coefficients of g.f. a*(1+x)ⁿ + b*(1-x)ⁿ⁺²*polylog(-n-1, x)/x + 2ⁿ*c*(1-x)ⁿ⁺¹*LerchPhi(x, -n, 1/2), with a = 65/2, b = -162/2, c = 135/2. A168525

Indices in A006928 where the imbalance between 1's and 2's sets a new record. A274775

Expansion of ∑_1<=i<=j q^i+j/( (1-qⁱ)*(1-q^j) )². A374929

a(n) = 36·n² + 6. A158479

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 66. A31744

Number of partitions of n into parts not of the form 23k, 23k+6 or 23k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 10 are greater than 1. A35994