106,984
106,984 is a composite number, even.
106,984 (one hundred six thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 43 × 311. Written other ways, in hexadecimal, 0x1A1E8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 28
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 489,601
- Recamán's sequence
- a(82,023) = 106,984
- Square (n²)
- 11,445,576,256
- Cube (n³)
- 1,224,493,530,171,904
- Divisor count
- 16
- σ(n) — sum of divisors
- 205,920
- φ(n) — Euler's totient
- 52,080
- Sum of prime factors
- 360
Primality
Prime factorization: 2 3 × 43 × 311
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,984 = [327; (11, 1, 8, 3, 2, 1, 2, 1, 1, 2, 3, 26, 1, 25, 4, 1, 11, 10, 1, 4, 2, 72, 4, 3, …)]
Representations
- In words
- one hundred six thousand nine hundred eighty-four
- Ordinal
- 106984th
- Binary
- 11010000111101000
- Octal
- 320750
- Hexadecimal
- 0x1A1E8
- Base64
- AaHo
- One's complement
- 4,294,860,311 (32-bit)
- Scientific notation
- 1.06984 × 10⁵
- As a duration
- 106,984 s = 1 day, 5 hours, 43 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρϛϡπδʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋩·𝋤
- Chinese
- 十萬六千九百八十四
- Chinese (financial)
- 壹拾萬陸仟玖佰捌拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106984, here are decompositions:
- 5 + 106979 = 106984
- 23 + 106961 = 106984
- 47 + 106937 = 106984
- 107 + 106877 = 106984
- 113 + 106871 = 106984
- 131 + 106853 = 106984
- 197 + 106787 = 106984
- 233 + 106751 = 106984
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.232.
- Address
- 0.1.161.232
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.161.232
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 106,984 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 106984 first appears in π at position 291,914 of the decimal expansion (the 291,914ordinal-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.