213 (number)
In today's article we are going to talk about 213 (number), a topic that has captured the interest of millions of people around the world. From its origin to its impact on today's society, 213 (number) has been the subject of studies, debates and controversies that have marked its evolution over time. With a history dating back centuries, 213 (number) remains relevant today, influencing our thinking, our culture and our decisions. Through this article, we will explore different aspects of 213 (number), analyzing its importance and role in the modern world. Join us on this journey of discovery and learning!
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|---|---|---|---|---|
| Cardinal | two hundred thirteen | |||
| Ordinal | 213th (two hundred thirteenth) | |||
| Factorization | 3 × 71 | |||
| Divisors | 1, 3, 71, 213 | |||
| Greek numeral | ΣΙΓ´ | |||
| Roman numeral | CCXIII | |||
| Binary | 110101012 | |||
| Ternary | 212203 | |||
| Senary | 5536 | |||
| Octal | 3258 | |||
| Duodecimal | 15912 | |||
| Hexadecimal | D516 | |||
213 (two hundred thirteen) is the number following 212 and preceding 214.
In mathematics
213 and the other permutations of its digits are the only three-digit number whose digit sums and digit products are equal. It is a member of the quickly-growing Levine sequence, constructed from a triangle of numbers in which each row counts the copies of each value in the row below it.
As the product of the two distinct prime numbers 3 and 71, it is a semiprime, the first of a triple of three consecutive semiprimes 213, 214, and 215. Its square, 2132 = 45369, is one of only 15 known squares that can be represented as a sum of distinct factorials.
See also
References
- ^ Sloane, N. J. A. (ed.). "Sequence A034710 (Positive numbers for which the sum of digits equals the product of digits)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A011784 (Levine's sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Guy, Richard K. (April 1998). "What's left?". Math Horizons. 5 (4): 5–7. doi:10.1080/10724117.1998.11975052. JSTOR 25678158.
- ^ Sloane, N. J. A. (ed.). "Sequence A039833 (Smallest of three consecutive squarefree numbers k, k+1, k+2 of the form p*q where p and q are primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A014597 (Numbers k such that k^2 is a sum of distinct factorials)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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