103,968
103,968 is a composite number, even.
103,968 (one hundred three thousand nine hundred sixty-eight) is an even 6-digit number. It is a composite number with 54 divisors, and factors as 2⁵ × 3² × 19². Its proper divisors sum to 208,071, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19620.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 869,301
- Recamán's sequence
- a(94,167) = 103,968
- Square (n²)
- 10,809,345,024
- Cube (n³)
- 1,123,825,983,455,232
- Divisor count
- 54
- σ(n) — sum of divisors
- 312,039
- φ(n) — Euler's totient
- 32,832
- Sum of prime factors
- 54
Primality
Prime factorization: 2 5 × 3 2 × 19 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√103,968 = [322; (2, 3, 1, 2, 1, 1, 19, 1, 1, 2, 1, 3, 2, 644)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- one hundred three thousand nine hundred sixty-eight
- Ordinal
- 103968th
- Binary
- 11001011000100000
- Octal
- 313040
- Hexadecimal
- 0x19620
- Base64
- AZYg
- One's complement
- 4,294,863,327 (32-bit)
- Scientific notation
- 1.03968 × 10⁵
- As a duration
- 103,968 s = 1 day, 4 hours, 52 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ργϡξηʹ
- Mayan (base 20)
- 𝋬·𝋳·𝋲·𝋨
- Chinese
- 一十萬三千九百六十八
- Chinese (financial)
- 壹拾萬參仟玖佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103968, here are decompositions:
- 5 + 103963 = 103968
- 17 + 103951 = 103968
- 79 + 103889 = 103968
- 101 + 103867 = 103968
- 127 + 103841 = 103968
- 131 + 103837 = 103968
- 157 + 103811 = 103968
- 167 + 103801 = 103968
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.32.
- Address
- 0.1.150.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.150.32
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 103,968 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 103968 first appears in π at position 284,857 of the decimal expansion (the 284,857ordinal-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°.