103,362
103,362 is a composite number, even.
103,362 (one hundred three thousand three hundred sixty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 23 × 107. Its proper divisors sum to 145,470, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x193C2.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 263,301
- Recamán's sequence
- a(95,911) = 103,362
- Square (n²)
- 10,683,703,044
- Cube (n³)
- 1,104,288,914,033,928
- Divisor count
- 32
- σ(n) — sum of divisors
- 248,832
- φ(n) — Euler's totient
- 27,984
- Sum of prime factors
- 142
Primality
Prime factorization: 2 × 3 × 7 × 23 × 107
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√103,362 = [321; (2, 642)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- one hundred three thousand three hundred sixty-two
- Ordinal
- 103362nd
- Binary
- 11001001111000010
- Octal
- 311702
- Hexadecimal
- 0x193C2
- Base64
- AZPC
- One's complement
- 4,294,863,933 (32-bit)
- Scientific notation
- 1.03362 × 10⁵
- As a duration
- 103,362 s = 1 day, 4 hours, 42 minutes, 42 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ργτξβʹ
- Mayan (base 20)
- 𝋬·𝋲·𝋨·𝋢
- Chinese
- 一十萬三千三百六十二
- Chinese (financial)
- 壹拾萬參仟參佰陸拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103362, here are decompositions:
- 5 + 103357 = 103362
- 13 + 103349 = 103362
- 29 + 103333 = 103362
- 43 + 103319 = 103362
- 71 + 103291 = 103362
- 73 + 103289 = 103362
- 131 + 103231 = 103362
- 179 + 103183 = 103362
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.147.194.
- Address
- 0.1.147.194
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.147.194
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 103,362 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 103362 first appears in π at position 472,362 of the decimal expansion (the 472,362ordinal-suffix:nd 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°.