Wednesday, November 25, 2020

Number of the day: 9699

Properties of the number 9699:

9699 = 3 × 53 × 61 is a sphenic number and squarefree.
9699 has 3 distinct prime factors, 8 divisors, 15 antidivisors and 6240 totatives.
9699 has a semiprime digit sum 33 in base 10.
Reversing the decimal digits of 9699 results in a semiprime.
9699 = 48502 - 48492 = 16182 - 16152 = 1182 - 652 = 1102 - 492 is the difference of 2 nonnegative squares in 4 ways.
9699 is the difference of 2 positive pentagonal numbers in 1 way.
9699 = 72 + 252 + 952 is the sum of 3 positive squares.
96992 = 51242 + 82352 = 35552 + 90242 = 65252 + 71762 = 17492 + 95402 is the sum of 2 positive squares in 4 ways.
96992 is the sum of 3 positive squares.
9699 is a proper divisor of 7434 - 1.
9699 = '9' + '699' is the concatenation of 2 semiprime numbers.
9699 is palindromic in (at least) base -34.
9699 consists of only the digits '6' and '9'.

The number 9699 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A033572: a(n) = (2*n+1)*(7*n+1).
A059610: Numbers n such that 2^n - 9 is prime.
A062185: Harmonic mean of digits is 8.
A074343: a(1) = 7; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.
A111494: 3-almost primes with semiprime digits (digits 4, 6, 9 only).
A114615: Starting numbers for which the RATS sequence has eventual period 14.
A178369: Numbers with rounded up arithmetic mean of digits = 9.
A259487: Least positive integer m with prime(m)+2 and prime(prime(m))+2 both prime such that prime(m*n)+2 and prime(prime(m*n))+2 are both prime.
A286444: Number of non-equivalent ways to tile an n X n X n triangular area with two 2 X 2 X 2 triangular tiles and an appropriate number (= n^2-8) of 1 X 1 X 1 tiles.
A292739: Numbers in which 9 outnumbers all other digits together.

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