Wednesday, June 6, 2018

Number of the day: 601441

Aleksandr Mikhailovich Lyapunov was born on this day 161 years ago.

Properties of the number 601441:

601441 is a cyclic number.
601441 = 43 × 71 × 197 is a sphenic number and squarefree.
601441 has 3 distinct prime factors, 8 divisors, 13 antidivisors and 576240 totatives.
Reversing the decimal digits of 601441 results in a semiprime.
601441 = 3007212 - 3007202 = 70152 - 69722 = 42712 - 42002 = 16252 - 14282 is the difference of 2 nonnegative squares in 4 ways.
601441 is the sum of 2 positive triangular numbers.
601441 is the difference of 2 positive pentagonal numbers in 4 ways.
601441 = 492 + 962 + 7682 is the sum of 3 positive squares.
6014412 = 854842 + 5953352 is the sum of 2 positive squares in 1 way.
6014412 is the sum of 3 positive squares.
601441 is a proper divisor of 195114 - 1.
601441 is palindromic in (at least) base 70.

The number 601441 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A133343: a(n)=2a(n-1)+13a(n-2) for n>1, a(0)=1, a(1)=1 .
A221599: Number of 0..n arrays of length 7 with each element differing from at least one neighbor by 1 or less
A298592: Triangle read by rows: T(n,k) = number of parking functions of length n whose lead number is k.

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