Sunday, September 11, 2016

Number of the day: 4454

Properties of the number 4454:

4454 = 2 × 17 × 131 is a sphenic number and squarefree.
4454 has 3 distinct prime factors, 8 divisors, 7 antidivisors and 2080 totatives.
4454 has an emirp digit sum 17 in base 10.
4454 is the difference of 2 positive pentagonal numbers in 1 way.
4454 = 22 + 152 + 652 is the sum of 3 positive squares.
44542 = 20962 + 39302 is the sum of 2 positive squares in 1 way.
44542 is the sum of 3 positive squares.
4454 is a divisor of 5234 - 1.
4454 = '4' + '454' is the concatenation of 2 semiprime numbers.
4454 is palindromic in (at least) the following bases: 42, 61, -7, -22, -53, and -73.
4454 in base 3 = 20002222 and consists of only the digits '0' and '2'.
4454 consists of only the digits '4' and '5'.
4454 in base 16 = 1166 and consists of only the digits '1' and '6'.
4454 in base 18 = dd8 and consists of only the digits '8' and 'd'.
4454 in base 21 = a22 and consists of only the digits '2' and 'a'.
4454 in base 38 = 338 and consists of only the digits '3' and '8'.
4454 in base 41 = 2QQ and consists of only the digits '2' and 'Q'.
4454 in base 42 = 2M2 and consists of only the digits '2' and 'M'.
4454 in base 60 = 1EE and consists of only the digits '1' and 'E'.
4454 in base 61 = 1C1 and consists of only the digits '1' and 'C'.

The number 4454 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A033014: Every run of digits of n in base 16 has length 2.
A033029: Every run of digits of n in base 16 has length >=2.
A058601: McKay-Thompson series of class 27b for the Monster group.
A069746: Four-digit numbers that do not resolve to 6174 under the Kaprekar map (see A151949).
A072522: Smallest number a(n)>a(n-1) such that T(a(n-1))+T(a(n))=T(m) for some m, a(1)=3; T(i) are the triangular numbers.
A077162: Sum of terms in n-th rows of triangle in A077159.
A118869: Triangle read by rows: T(n,k) is the number of binary sequences of length n containing k subsequences 0101 (n,k>=0).
A118870: Number of binary sequences of length n with no subsequence 0101.
A252079: Fixed points of permutations A252022 and A252023.
A256290: Numbers which have only digits 4 and 5 in base 10.

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