106,998
106,998 is a composite number, even.
106,998 (one hundred six thousand nine hundred ninety-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 17 × 1,049. Its proper divisors sum to 119,802, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A1F6.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 33
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 899,601
- Flips to (rotate 180°)
- 866,901
- Recamán's sequence
- a(82,051) = 106,998
- Square (n²)
- 11,448,572,004
- Cube (n³)
- 1,224,974,307,283,992
- Divisor count
- 16
- σ(n) — sum of divisors
- 226,800
- φ(n) — Euler's totient
- 33,536
- Sum of prime factors
- 1,071
Primality
Prime factorization: 2 × 3 × 17 × 1049
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,998 = [327; (9, 2, 11, 1, 6, 1, 2, 5, 17, 34, 2, 1, 2, 14, 1, 5, 4, 4, 1, 1, 326, 1, 1, 4, …)]
Period length 42 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand nine hundred ninety-eight
- Ordinal
- 106998th
- Binary
- 11010000111110110
- Octal
- 320766
- Hexadecimal
- 0x1A1F6
- Base64
- AaH2
- One's complement
- 4,294,860,297 (32-bit)
- Scientific notation
- 1.06998 × 10⁵
- As a duration
- 106,998 s = 1 day, 5 hours, 43 minutes, 18 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρϛϡϟηʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋩·𝋲
- Chinese
- 十萬六千九百九十八
- Chinese (financial)
- 壹拾萬陸仟玖佰玖拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106998, here are decompositions:
- 5 + 106993 = 106998
- 19 + 106979 = 106998
- 37 + 106961 = 106998
- 41 + 106957 = 106998
- 61 + 106937 = 106998
- 127 + 106871 = 106998
- 131 + 106867 = 106998
- 137 + 106861 = 106998
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.246.
- Address
- 0.1.161.246
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.161.246
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 106,998 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 106998 first appears in π at position 144,166 of the decimal expansion (the 144,166ordinal-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°.