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129 (number)

From Wikipedia, the free encyclopedia
128 129 130
Cardinalone hundred twenty-nine
Ordinal129th
(one hundred twenty-ninth)
Factorization3 × 43
Divisors1, 3, 43, 129
Greek numeralΡΚΘ´
Roman numeralCXXIX, cxxix
Binary100000012
Ternary112103
Senary3336
Octal2018
DuodecimalA912
Hexadecimal8116

129 (one hundred [and] twenty-nine) is the natural number following 128 and preceding 130.

In mathematics

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129 is the sum of the first ten prime numbers. It is the smallest number that can be expressed as a sum of three squares in four different ways: {\displaystyle 11^{2}+2^{2}+2^{2}}, {\displaystyle 10^{2}+5^{2}+2^{2}}, {\displaystyle 8^{2}+8^{2}+1^{2}}, and {\displaystyle 8^{2}+7^{2}+4^{2}}.

129 is the product of only two primes, 3 and 43, making 129 a semiprime. Since 3 and 43 are both Gaussian primes, this means that 129 is a Blum integer.[1]

129 is a repdigit in base 6 (333).

129 is a happy number.[2]

129 is a centered octahedral number.[3]

References

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  1. "Sloane's A016105 : Blum integers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  2. "Sloane's A007770 : Happy numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  3. Sloane, N. J. A. (ed.). "Sequence A001845 (Centered octahedral numbers (crystal ball sequence for cubic lattice))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-06-02.
129 (number)
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