103,664
103,664 is a composite number, even.
103,664 (one hundred three thousand six hundred sixty-four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 11 × 19 × 31. Its proper divisors sum to 134,416, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x194F0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 466,301
- Recamán's sequence
- a(95,071) = 103,664
- Square (n²)
- 10,746,224,896
- Cube (n³)
- 1,113,996,657,618,944
- Divisor count
- 40
- σ(n) — sum of divisors
- 238,080
- φ(n) — Euler's totient
- 43,200
- Sum of prime factors
- 69
Primality
Prime factorization: 2 4 × 11 × 19 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√103,664 = [321; (1, 31, 5, 25, 1, 1, 3, 1, 3, 12, 1, 7, 8, 40, 8, 7, 1, 12, 3, 1, 3, 1, 1, 25, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- one hundred three thousand six hundred sixty-four
- Ordinal
- 103664th
- Binary
- 11001010011110000
- Octal
- 312360
- Hexadecimal
- 0x194F0
- Base64
- AZTw
- One's complement
- 4,294,863,631 (32-bit)
- Scientific notation
- 1.03664 × 10⁵
- As a duration
- 103,664 s = 1 day, 4 hours, 47 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ργχξδʹ
- Mayan (base 20)
- 𝋬·𝋳·𝋣·𝋤
- Chinese
- 一十萬三千六百六十四
- Chinese (financial)
- 壹拾萬參仟陸佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103664, here are decompositions:
- 7 + 103657 = 103664
- 13 + 103651 = 103664
- 73 + 103591 = 103664
- 97 + 103567 = 103664
- 103 + 103561 = 103664
- 181 + 103483 = 103664
- 193 + 103471 = 103664
- 241 + 103423 = 103664
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.148.240.
- Address
- 0.1.148.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.148.240
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 103,664 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.