107,484
107,484 is a composite number, even.
107,484 (one hundred seven thousand four hundred eighty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 13² × 53. Its proper divisors sum to 169,212, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A3DC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 484,701
- Recamán's sequence
- a(83,023) = 107,484
- Square (n²)
- 11,552,810,256
- Cube (n³)
- 1,241,742,257,555,904
- Divisor count
- 36
- σ(n) — sum of divisors
- 276,696
- φ(n) — Euler's totient
- 32,448
- Sum of prime factors
- 86
Primality
Prime factorization: 2 2 × 3 × 13 2 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,484 = [327; (1, 5, 1, 1, 3, 1, 3, 2, 4, 1, 1, 3, 2, 2, 1, 3, 5, 1, 6, 16, 4, 16, 6, 1, …)]
Period length 42 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand four hundred eighty-four
- Ordinal
- 107484th
- Binary
- 11010001111011100
- Octal
- 321734
- Hexadecimal
- 0x1A3DC
- Base64
- AaPc
- One's complement
- 4,294,859,811 (32-bit)
- Scientific notation
- 1.07484 × 10⁵
- As a duration
- 107,484 s = 1 day, 5 hours, 51 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρζυπδʹ
- Mayan (base 20)
- 𝋭·𝋨·𝋮·𝋤
- Chinese
- 十萬七千四百八十四
- Chinese (financial)
- 壹拾萬柒仟肆佰捌拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107484, here are decompositions:
- 11 + 107473 = 107484
- 17 + 107467 = 107484
- 31 + 107453 = 107484
- 43 + 107441 = 107484
- 107 + 107377 = 107484
- 127 + 107357 = 107484
- 137 + 107347 = 107484
- 211 + 107273 = 107484
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.163.220.
- Address
- 0.1.163.220
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.163.220
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 107,484 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 107484 first appears in π at position 259,801 of the decimal expansion (the 259,801ordinal-suffix:st 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°.