248 (number)

248 (two hundred [and] forty-eight) is the natural number following 247 and preceding 249.

247 248 249
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Cardinal two hundred forty-eight
Ordinal 248th
(two hundred forty-eighth)
Factorization 23× 31
Greek numeral ΣΜΗ´
Roman numeral CCXLVIII
Binary 111110002
Ternary 1000123
Quaternary 33204
Quinary 14435
Senary 10526
Octal 3708
Duodecimal 18812
Hexadecimal F816
Vigesimal C820
Base 36 6W36

In mathematics

248 is:

  • a nontotient.
  • a refactorable number.
  • an untouchable number.[1]
  • palindromic in bases 13 (16113), 30 (8830), 61 (4461), 123 (22123) and 247 (11247).
  • a Harshad number in bases 3, 4, 6, 7, 9, 11, 13 (and 18 other bases).
  • part of the 43-aliquot tree. The aliquot sequence starting at 248 is: 248, 232, 218, 112, 136, 134, 70, 74, 40, 50, 43, 1, 0.

The exceptional Lie group E8 has dimension 248.

In religion

  • The number 248 is the Gematria value for the Hebrew letters Ramach (Resh Mem and Het), traditionally depicted as the number of organs in the human body, and the number of positive commandments in the Torah.

References

  1. Sloane, N.J.A. (ed.). "Sequence A005114 (Untouchable numbers: impossible values for sum of aliquot parts of n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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