Properties of the Number 38820

Thirty-Eight Thousand Eight Hundred Twenty

Basics

Value: 38819 → 38820 → 38821

Parity: even

Prime: No

Previous Prime: 38803

Next Prime: 38821

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 5 × 647

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001011110100100

Octal: 113644

Duodecimal: 1A570

Hexadecimal: 97a4

Square: 1506992400

Square Root: 197.02791680368546

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

Record (maximal) gaps between prime triples (p, p+2, p+6). A201598

Partial sums of A014825, second partial sums of A002450. A52161

G.f. A(x) satisfies: A(x) = 1 + x + x² + x³ + x⁴ + x⁵ * A(x)³. A346735

Number of ways to write a + b + c = d + e = f with {a,b,c,d,e,f} a subset of [n] of size 6 and a < b < c and d < e. A362717

Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,9. A64241

Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001011. A261550

a(n) = ∑_{i+j+k+m=n, i,j,k,m >= 1} τ(i) * τ(j) * τ(k) * τ(m). A375002

prime(n³) - prime(n). A214612

Expansion of g.f.: x/((1-x²)³*(1-2·x)). A389373

Number of primes less than n·10¹¹. A38820