Properties of the Number 54767

Fifty-Four Thousand Seven Hundred Sixty-Seven

Basics

Value: 54766 → 54767 → 54768

Parity: odd

Prime: Yes

Previous Prime: 54751

Next Prime: 54773

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 54767

Divisors: 1, 54767

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101010111101111

Octal: 152757

Duodecimal: 2783B

Hexadecimal: d5ef

Square: 2999424289

Square Root: 234.02350309317225

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

a(1) = a(2) = 1; a(n) = gcd(a(n-1), a(n-2)) + (a(n-1) + a(n-2))/gcd(a(n-1), a(n-2)). A355898

Primes of the form k² + 11. A138362

Primes that remain prime through 4 iterations of the function f(x) = 9x + 8. A23326

a(n) = p is the smallest prime such that p = n + h(n)² and p is the first prime following h(n)². The smallest immediate post-square primes with distance n = p - h(n)². A58056

Smallest prime p such that p == 1 (mod prime(n)) and not p == 1 (mod k) for 2 < k < prime(n). A116605

Expansion of ∑_{p prime, i>=1} x^pⁱ/(1 - x^pⁱ) / ∏_{p prime, j>=1} (1 - x^{p^j}). A281616

Numbers k such that (2·10^k - 71)/3 is prime. A280449

Period of the sequence of Bell numbers A000110 (mod n). A54767