Properties of the Number 4967

Four Thousand Nine Hundred Sixty-Seven

Basics

Value: 4966 → 4967 → 4968

Parity: odd

Prime: Yes

Previous Prime: 4957

Next Prime: 4969

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 4967

Divisors: 1, 4967

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001101100111

Octal: 11547

Duodecimal: 2A5B

Hexadecimal: 1367

Square: 24671089

Square Root: 70.4769465853906

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

Prime(n), where n is such that (1+∑_i=1..n prime(i)) / n is an integer. A233523

Initial members of prime triples (p, p+2, p+6). A22004

Number of partitions of n in which no part occurs just once. A7690

Numbers k such that (12^k + 5^k)/17 is prime. A128341

Primes p with q(p) + 1 also prime, where q(.) is the strict partition function (A000009). A234530

Primes p such that 3·p-4, 3·p-10, and 3·p-14 are all prime. A230223

Primes of the form x³ + 2y³, with x,y >0. A173587

Twin primes ending in 7. A181605

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-1,-2) (0,-1) or (-1,0) and new values introduced in order 0..2. A274749

Primes at which the difference pattern X24Y (X and Y >= 6) occurs in A001223. A52163