Thursday, March 25, 2021

Number of the day: 424514

Properties of the number 424514:

424514 = 2 × 31 × 41 × 167 is the 388774th composite number and is squarefree.
424514 has 4 distinct prime factors, 16 divisors, 11 antidivisors and 199200 totatives.
424514 has an oblong digit sum 20 in base 10.
424514 = 162 + … + 1082 is the sum of at least 2 consecutive positive squares in 1 way.
424514 is the difference of 2 positive pentagonal numbers in 3 ways.
424514 = 82 + 572 + 6492 is the sum of 3 positive squares.
4245142 = 931862 + 4141602 is the sum of 2 positive squares in 1 way.
4245142 is the sum of 3 positive squares.
424514 is a proper divisor of 1669120 - 1.
424514 = '42' + '4514' is the concatenation of 2 sphenic numbers.

The number 424514 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A115080: Triangle, read by rows, where T(n,k) equals the dot product of the vector of terms in row n that are to the right of T(n,k) with the vector of terms in column k that are above T(n,k): T(n,k) = Sum_{j=0..n-k-1} T(n,j+k+1)*T(j+k,k) for n>k+1>0, with T(n,n) = 1 and T(n,n-1) = n (n>=1).
A115081: Column 0 of triangle A115080.

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