Monday, December 12, 2016

Number of the day: 24717

Properties of the number 24717:

24717 = 3 × 7 × 11 × 107 is the 21980th composite number and is squarefree.
24717 has 4 distinct prime factors, 16 divisors, 17 antidivisors and 12720 totatives.
24717 has a semiprime digit sum 21 in base 10.
24717 has a Fibonacci digit sum 21 in base 10.
24717 has a triangular digit sum 21 in base 10.
24717 = 123592 - 123582 = 41212 - 41182 = 17692 - 17622 = 11292 - 11182 = 5992 - 5782 = 3912 - 3582 = 1992 - 1222 = 1692 - 622 is the difference of 2 nonnegative squares in 8 ways.
24717 is the sum of 2 positive triangular numbers.
24717 is the difference of 2 positive pentagonal numbers in 3 ways.
24717 = 132 + 382 + 1522 is the sum of 3 positive squares.
247172 is the sum of 3 positive squares.
24717 is a divisor of 8576 - 1.
24717 is palindromic in (at least) the following bases: 30, 38, and 45.
24717 in base 30 = rdr and consists of only the digits 'd' and 'r'.
24717 in base 38 = H4H and consists of only the digits '4' and 'H'.
24717 in base 44 = CXX and consists of only the digits 'C' and 'X'.
24717 in base 45 = C9C and consists of only the digits '9' and 'C'.

The number 24717 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A056858: Triangle of number of rises in restricted growth strings (RGS) for the set partitions of n.
A138691: Numbers of the form 68+p^2 (where p is a prime).
A247345: a(1) = 16. For n > 1, a(n) is the position of the first occurrence of a(n-1) after the decimal point in the decimal expansion of Pi.

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