106,956
106,956 is a composite number, even.
106,956 (one hundred six thousand nine hundred fifty-six) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 2,971. Its proper divisors sum to 163,496, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A1CC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 659,601
- Recamán's sequence
- a(24,436) = 106,956
- Square (n²)
- 11,439,585,936
- Cube (n³)
- 1,223,532,353,370,816
- Divisor count
- 18
- σ(n) — sum of divisors
- 270,452
- φ(n) — Euler's totient
- 35,640
- Sum of prime factors
- 2,981
Primality
Prime factorization: 2 2 × 3 2 × 2971
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,956 = [327; (24, 4, 2, 7, 1, 1, 1, 2, 2, 1, 1, 1, 81, 7, 1, 2, 6, 1, 1, 6, 4, 1, 5, 3, …)]
Period length 52 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand nine hundred fifty-six
- Ordinal
- 106956th
- Binary
- 11010000111001100
- Octal
- 320714
- Hexadecimal
- 0x1A1CC
- Base64
- AaHM
- One's complement
- 4,294,860,339 (32-bit)
- Scientific notation
- 1.06956 × 10⁵
- As a duration
- 106,956 s = 1 day, 5 hours, 42 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρϛϡνϛʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋧·𝋰
- Chinese
- 十萬六千九百五十六
- Chinese (financial)
- 壹拾萬陸仟玖佰伍拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106956, here are decompositions:
- 7 + 106949 = 106956
- 19 + 106937 = 106956
- 53 + 106903 = 106956
- 79 + 106877 = 106956
- 89 + 106867 = 106956
- 97 + 106859 = 106956
- 103 + 106853 = 106956
- 173 + 106783 = 106956
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.204.
- Address
- 0.1.161.204
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.161.204
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 106,956 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.