2,248
2,248 is a composite number, even.
2,248 (two thousand two hundred forty-eight) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2³ × 281. Written other ways, in Roman numerals it is MMCCXLVIII and in binary, 100011001000.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 16
- Digit product
- 128
- Digital root
- 7
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 8,422
- Recamán's sequence
- a(3,255) = 2,248
- Square (n²)
- 5,053,504
- Cube (n³)
- 11,360,276,992
- Divisor count
- 8
- σ(n) — sum of divisors
- 4,230
- φ(n) — Euler's totient
- 1,120
- Sum of prime factors
- 287
Primality
Prime factorization: 2 3 × 281
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√2,248 = [47; (2, 2, 2, 1, 1, 1, 12, 1, 10, 1, 12, 1, 1, 1, 2, 2, 2, 94)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- two thousand two hundred forty-eight
- Ordinal
- 2248th
- Roman numeral
- MMCCXLVIII
- Binary
- 100011001000
- Octal
- 4310
- Hexadecimal
- 0x8C8
- Base64
- CMg=
- One's complement
- 63,287 (16-bit)
- Scientific notation
- 2.248 × 10³
- As a duration
- 2,248 s = 37 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵βσμηʹ
- Mayan (base 20)
- 𝋥·𝋬·𝋨
- Chinese
- 二千二百四十八
- Chinese (financial)
- 貳仟貳佰肆拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 2,248 = 4
- e — Euler's number (e)
- Digit 2,248 = 0
- φ — Golden ratio (φ)
- Digit 2,248 = 2
- √2 — Pythagoras's (√2)
- Digit 2,248 = 3
- ln 2 — Natural log of 2
- Digit 2,248 = 1
- γ — Euler-Mascheroni (γ)
- Digit 2,248 = 0
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2248, here are decompositions:
- 5 + 2243 = 2248
- 11 + 2237 = 2248
- 41 + 2207 = 2248
- 107 + 2141 = 2248
- 137 + 2111 = 2248
- 149 + 2099 = 2248
- 167 + 2081 = 2248
- 179 + 2069 = 2248
Showing the first eight; more decompositions exist.
UTF-8 encoding: E0 A3 88 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.200.
- Address
- 0.0.8.200
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.8.200
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 2,248 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C♯7 (2217.5 Hz, +24¢)
- Scientific pitch (C4 = 256 Hz): D7 (2298.8 Hz, -39¢)
- Baroque pitch (A4 = 415 Hz): D7 (2215.8 Hz, +25¢)
The digit sequence 2248 first appears in π at position 2,042 of the decimal expansion (the 2,042ordinal-suffix:nd 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.