Properties of the Number 38761

Thirty-Eight Thousand Seven Hundred Sixty-One

Basics

Value: 38760 → 38761 → 38762

Parity: odd

Prime: No

Previous Prime: 38749

Next Prime: 38767

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 83 × 467

Divisors: 1, 83, 467, 38761

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001011101101001

Octal: 113551

Duodecimal: 1A521

Hexadecimal: 9769

Square: 1502415121

Square Root: 196.878134895676

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

Smallest magic constant for any n X n magic square made from consecutive primes, or 0 if no such magic square exists. A73520

G.f.: ∑_k>=0 x^k * ∏_j=1..2·k (1 + x^j)/(1 - x^j). A385088

Values of c such that (c+9·b)*Prime(n)#-1 is the least prime such that (c+k·b)*Prime(n)#-1 is prime for k=0 to 9 with c+9·b < Prime(n)# , or 0 if no solution. Prime(n)#=n-th primorial. A188366

Numbers k such that 155·2^k+1 is prime. A32454

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 107", based on the 5-celled von Neumann neighborhood. A270166

Smallest magic sum for any n X n semimagic square made from consecutive primes, or 0 if no such magic square exists. A270829

a(n) = smallest potential magic constant for an n X n magic square composed of consecutive primes. A342124

a(n) = 6·a(n-1) - a(n-2), n >= 2, a(0)=1, a(1)=9. A38761

Triangle read by rows T(n, k) is the least integer that is a palindrome in base n and k, with more than 1 digit in both bases, n >= 3 and 2 <= k < n. A293925