Thursday, November 26, 2020

Number of the day: 4826

Norbert Wiener was born on this day 126 years ago.

Properties of the number 4826:

4826 = 2 × 19 × 127 is a sphenic number and squarefree.
4826 has 3 distinct prime factors, 8 divisors, 9 antidivisors and 2268 totatives.
4826 has an oblong digit sum 20 in base 10.
4826 = 13 + 93 + 163 is the sum of 3 positive cubes in 1 way.
4826 = 92 + 162 + 672 is the sum of 3 positive squares.
48262 is the sum of 3 positive squares.
4826 is a proper divisor of 7612 - 1.
4826 = '482' + '6' is the concatenation of 2 semiprime numbers.
4826 is palindromic in (at least) base -67.

The number 4826 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A003359: Numbers that are the sum of 3 nonzero 6th powers.
A025414: a(n) is the smallest number that is the sum of 3 nonzero squares in exactly n ways.
A051989: Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 24.
A071609: Squared radii of the spheres around (0,0,0) that contain record numbers of lattice points.
A091710: Number of primes less than 10^n having at least one digit 9.
A092265: Sum of smallest parts of all partitions of n into distinct parts.
A095809: Least positive number having exactly n partitions into three squares.
A237859: T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors
A278180: Square spiral in which each new term is the sum of its two largest neighbors.
A324703: Lexicographically earliest sequence containing 3 and all positive integers n such that the prime indices of n - 1 already belong to the sequence.

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