Monday, May 27, 2019

Number of the day: 65919

Properties of the number 65919:

65919 = 3 × 7 × 43 × 73 is the 59336th composite number and is squarefree.
65919 has 4 distinct prime factors, 16 divisors, 15 antidivisors and 36288 totatives.
65919 has a sphenic digit sum 30 in base 10.
65919 has an oblong digit sum 30 in base 10.
65919 = 622 + … + 752 is the sum of at least 2 consecutive positive squares in 1 way.
65919 = 329602 - 329592 = 109882 - 109852 = 47122 - 47052 = 15802 - 15592 = 7882 - 7452 = 4882 - 4152 = 3202 - 1912 = 2602 - 412 is the difference of 2 nonnegative squares in 8 ways.
65919 is the sum of 2 positive triangular numbers.
65919 is the difference of 2 positive pentagonal numbers in 3 ways.
65919 is not the sum of 3 positive squares.
659192 = 433442 + 496652 is the sum of 2 positive squares in 1 way.
659192 is the sum of 3 positive squares.
65919 is a proper divisor of 15973 - 1.
65919 = '659' + '19' is the concatenation of 2 prime numbers.
65919 = '6' + '5919' is the concatenation of 2 semiprime numbers.
65919 in base 60 = IId and consists of only the digits 'I' and 'd'.

The number 65919 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A129212: Numbers n such that n^3 divides 4^(n^2)-1.
A186570: T(n,k)=Number of (n+2)X(k+2) 0..5 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock
A249614: Integers that reach the (47360, 29127) cycle described in A234534, after iterations of numerator(sigma(n)/n) = A017665(n).

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