Thursday, September 21, 2017

Number of the day: 1482

Properties of the number 1482:

1482 = 2 × 3 × 13 × 19 is the 1247th composite number and is squarefree.
1482 has 4 distinct prime factors, 16 divisors, 9 antidivisors and 432 totatives.
1482 has an emirpimes digit sum 15 in base 10.
1482 has a triangular digit sum 15 in base 10.
Reversing the decimal digits of 1482 results in a semiprime.
1482 = 42 + … + 162 is the sum of at least 2 consecutive positive squares in 1 way.
1482 is the sum of 2 positive triangular numbers.
1482 = 38 × 39 is an oblong number.
1482 = 72 + 82 + 372 is the sum of 3 positive squares.
14822 = 5702 + 13682 is the sum of 2 positive squares in 1 way.
14822 is the sum of 3 positive squares.
1482 is a proper divisor of 5712 - 1.
1482 = '14' + '82' is the concatenation of 2 semiprime numbers.
1482 is palindromic in (at least) the following bases: 5, 56, 77, and -37.
1482 in base 3 = 2000220 and consists of only the digits '0' and '2'.
1482 in base 14 = 77c and consists of only the digits '7' and 'c'.
1482 in base 38 = 110 and consists of only the digits '0' and '1'.

The number 1482 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A002378: Oblong (or promic, pronic, or heteromecic) numbers: a(n) = n*(n+1).
A002943: a(n) = 2*n*(2*n+1).
A014574: Average of twin prime pairs.
A033537: a(n) = n*(2*n+5).
A045896: Denominator of n/((n+1)(n+2)) = A026741/A045896.
A046386: Products of four distinct primes.
A097024: Numbers in the 5-cycle-attractor if the f[x]=A063919[x] function is iterated; f[x] is the sum of unitary proper divisors.
A124178: Numbers n such that 1 + n + n^3 + n^5 + n^7 + n^9 + n^11 + n^13 + n^15 + n^17 + n^19 is prime.
A170758: G.f.: (1+x)/(1-38*x).
A177905: Numbers n such that n^3 divides 5^(n^2)-1.

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