Thursday, November 15, 2018

Number of the day: 99678

Properties of the number 99678:

99678 = 2 × 3 × 37 × 449 is the 90115th composite number and is squarefree.
99678 has 4 distinct prime factors, 16 divisors, 13 antidivisors and 32256 totatives.
99678 has an emirpimes digit sum 39 in base 10.
99678 is the difference of 2 positive pentagonal numbers in 3 ways.
99678 = 222 + 352 + 3132 is the sum of 3 positive squares.
996782 = 621602 + 779222 = 535502 + 840722 = 335282 + 938702 = 323282 + 942902 is the sum of 2 positive squares in 4 ways.
996782 is the sum of 3 positive squares.
99678 is a proper divisor of 54124 - 1.
99678 is palindromic in (at least) base -11.

The number 99678 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A064262: Values of m such that N=(am+1)(bm+1)(cm+1) is a Carmichael number, where a,b,c = 1,2,51.
A248534: Number of length n+3 0..5 arrays with every four consecutive terms having the sum of some three elements equal to three times the fourth.

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