103,684
103,684 is a composite number, even.
103,684 (one hundred three thousand six hundred eighty-four) is an even 6-digit number. It is a composite number with 27 divisors, and factors as 2² × 7² × 23². Its proper divisors sum to 116,963, more than the number itself, making it an abundant number. It is a perfect square (322²). Written other ways, in hexadecimal, 0x19504.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 22
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 486,301
- Recamán's sequence
- a(95,031) = 103,684
- Square (n²)
- 10,750,371,856
- Cube (n³)
- 1,114,641,555,517,504
- Square root (√n)
- 322
- Divisor count
- 27
- σ(n) — sum of divisors
- 220,647
- φ(n) — Euler's totient
- 42,504
- Sum of prime factors
- 64
Primality
Prime factorization: 2 2 × 7 2 × 23 2
Divisors & multiples
Sums & aliquot sequence
Representations
- In words
- one hundred three thousand six hundred eighty-four
- Ordinal
- 103684th
- Binary
- 11001010100000100
- Octal
- 312404
- Hexadecimal
- 0x19504
- Base64
- AZUE
- One's complement
- 4,294,863,611 (32-bit)
- Scientific notation
- 1.03684 × 10⁵
- As a duration
- 103,684 s = 1 day, 4 hours, 48 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ργχπδʹ
- Mayan (base 20)
- 𝋬·𝋳·𝋤·𝋤
- Chinese
- 一十萬三千六百八十四
- Chinese (financial)
- 壹拾萬參仟陸佰捌拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103684, here are decompositions:
- 3 + 103681 = 103684
- 41 + 103643 = 103684
- 71 + 103613 = 103684
- 101 + 103583 = 103684
- 107 + 103577 = 103684
- 131 + 103553 = 103684
- 173 + 103511 = 103684
- 227 + 103457 = 103684
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.149.4.
- Address
- 0.1.149.4
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.149.4
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 103,684 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 103684 first appears in π at position 435,707 of the decimal expansion (the 435,707ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.