Properties of the Number 3761

Three Thousand Seven Hundred Sixty-One

Basics

Value: 3760 → 3761 → 3762

Parity: odd

Prime: Yes

Previous Prime: 3739

Next Prime: 3767

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 3761

Divisors: 1, 3761

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010110001

Octal: 7261

Duodecimal: 2215

Hexadecimal: eb1

Square: 14145121

Square Root: 61.326992425847855

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: Yes

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) = smallest prime p such that p is the home prime (cf. A037274) of exactly n natural numbers. A118756

Primes whose base-5 representation also is the base-4 representation of a prime. A235615

Prime numbers congruent to 1 modulo 16 representable by both x² + 32·y² and x² + 64·y². A325067

Number of n-node rooted trees of height equal to the number of internal (non-leaf) nodes. A358587

T(n,m) equals number of solid partitions of n containing m plane partitions. A94504

Primes that are the sum of 7 consecutive primes. A82246

T(n,k) = Number of (n+2) X (k+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 1 2 4 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 1 2 4 6 or 7. A252558

Primes of form n² + 625. A256777

Table in which the g.f. of row n, R(n,x), satisfies ∑_k=-oo..+oo (x^k - n·R(n,x))^k = 1 - (n-2)*∑_k>=1 x^k², for n >= 1, as read by antidiagonals. A370030

Primes p with p-1 and p+1 both practical: "Sandwich of the first kind". A210479