2,122
2,122 is a composite number, even.
2,122 (two thousand one hundred twenty-two) is an even 4-digit number. It is a composite number with 4 divisors, and factors as 2 × 1,061. Written other ways, in Roman numerals it is MMCXXII and in binary, 100001001010.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 7
- Digit product
- 8
- Digital root
- 7
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 2,212
- Recamán's sequence
- a(3,507) = 2,122
- Square (n²)
- 4,502,884
- Cube (n³)
- 9,555,119,848
- Divisor count
- 4
- σ(n) — sum of divisors
- 3,186
- φ(n) — Euler's totient
- 1,060
- Sum of prime factors
- 1,063
Primality
Prime factorization: 2 × 1061
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√2,122 = [46; (15, 2, 1, 9, 1, 1, 3, 2, 12, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 12, 2, 3, …)]
Period length 31 — the block in parentheses repeats forever.
Representations
- In words
- two thousand one hundred twenty-two
- Ordinal
- 2122nd
- Roman numeral
- MMCXXII
- Binary
- 100001001010
- Octal
- 4112
- Hexadecimal
- 0x84A
- Base64
- CEo=
- One's complement
- 63,413 (16-bit)
- Scientific notation
- 2.122 × 10³
- As a duration
- 2,122 s = 35 minutes, 22 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓍢𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵βρκβʹ
- Mayan (base 20)
- 𝋥·𝋦·𝋢
- Chinese
- 二千一百二十二
- Chinese (financial)
- 貳仟壹佰貳拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 2,122 = 1
- e — Euler's number (e)
- Digit 2,122 = 8
- φ — Golden ratio (φ)
- Digit 2,122 = 1
- √2 — Pythagoras's (√2)
- Digit 2,122 = 0
- ln 2 — Natural log of 2
- Digit 2,122 = 8
- γ — Euler-Mascheroni (γ)
- Digit 2,122 = 4
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2122, here are decompositions:
- 11 + 2111 = 2122
- 23 + 2099 = 2122
- 41 + 2081 = 2122
- 53 + 2069 = 2122
- 59 + 2063 = 2122
- 83 + 2039 = 2122
- 149 + 1973 = 2122
- 173 + 1949 = 2122
Showing the first eight; more decompositions exist.
UTF-8 encoding: E0 A1 8A (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.74.
- Address
- 0.0.8.74
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.8.74
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 2,122 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C7 (2093 Hz, +24¢)
- Scientific pitch (C4 = 256 Hz): C♯7 (2169.8 Hz, -39¢)
- Baroque pitch (A4 = 415 Hz): C♯7 (2091.5 Hz, +25¢)
The digit sequence 2122 first appears in π at position 6,306 of the decimal expansion (the 6,306ordinal-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.