103,008
103,008 is a composite number, even.
103,008 (one hundred three thousand eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 29 × 37. Its proper divisors sum to 184,272, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19260.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 800,301
- Recamán's sequence
- a(96,719) = 103,008
- Square (n²)
- 10,610,648,064
- Cube (n³)
- 1,092,981,635,776,512
- Divisor count
- 48
- σ(n) — sum of divisors
- 287,280
- φ(n) — Euler's totient
- 32,256
- Sum of prime factors
- 79
Primality
Prime factorization: 2 5 × 3 × 29 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√103,008 = [320; (1, 18, 2, 4, 1, 4, 2, 18, 1, 640)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one hundred three thousand eight
- Ordinal
- 103008th
- Binary
- 11001001001100000
- Octal
- 311140
- Hexadecimal
- 0x19260
- Base64
- AZJg
- One's complement
- 4,294,864,287 (32-bit)
- Scientific notation
- 1.03008 × 10⁵
- As a duration
- 103,008 s = 1 day, 4 hours, 36 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ργηʹ
- Mayan (base 20)
- 𝋬·𝋱·𝋪·𝋨
- Chinese
- 一十萬三千零八
- Chinese (financial)
- 壹拾萬參仟零捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103008, here are decompositions:
- 7 + 103001 = 103008
- 41 + 102967 = 103008
- 79 + 102929 = 103008
- 97 + 102911 = 103008
- 127 + 102881 = 103008
- 131 + 102877 = 103008
- 137 + 102871 = 103008
- 149 + 102859 = 103008
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.146.96.
- Address
- 0.1.146.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.146.96
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 103,008 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 103008 first appears in π at position 605,838 of the decimal expansion (the 605,838ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.