2,172
2,172 is a composite number, even.
2,172 (two thousand one hundred seventy-two) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 181. Its proper divisors sum to 2,924, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMCLXXII and in binary, 100001111100.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 12
- Digit product
- 28
- Digital root
- 3
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 2,712
- Recamán's sequence
- a(3,407) = 2,172
- Square (n²)
- 4,717,584
- Cube (n³)
- 10,246,592,448
- Divisor count
- 12
- σ(n) — sum of divisors
- 5,096
- φ(n) — Euler's totient
- 720
- Sum of prime factors
- 188
Primality
Prime factorization: 2 2 × 3 × 181
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√2,172 = [46; (1, 1, 1, 1, 7, 1, 6, 1, 7, 1, 1, 1, 1, 92)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- two thousand one hundred seventy-two
- Ordinal
- 2172nd
- Roman numeral
- MMCLXXII
- Binary
- 100001111100
- Octal
- 4174
- Hexadecimal
- 0x87C
- Base64
- CHw=
- One's complement
- 63,363 (16-bit)
- Scientific notation
- 2.172 × 10³
- As a duration
- 2,172 s = 36 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵βροβʹ
- Mayan (base 20)
- 𝋥·𝋨·𝋬
- Chinese
- 二千一百七十二
- Chinese (financial)
- 貳仟壹佰柒拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 2,172 = 5
- e — Euler's number (e)
- Digit 2,172 = 5
- φ — Golden ratio (φ)
- Digit 2,172 = 0
- √2 — Pythagoras's (√2)
- Digit 2,172 = 4
- ln 2 — Natural log of 2
- Digit 2,172 = 9
- γ — Euler-Mascheroni (γ)
- Digit 2,172 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2172, here are decompositions:
- 11 + 2161 = 2172
- 19 + 2153 = 2172
- 29 + 2143 = 2172
- 31 + 2141 = 2172
- 41 + 2131 = 2172
- 43 + 2129 = 2172
- 59 + 2113 = 2172
- 61 + 2111 = 2172
Showing the first eight; more decompositions exist.
UTF-8 encoding: E0 A1 BC (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.124.
- Address
- 0.0.8.124
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.8.124
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 2,172 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C♯7 (2217.5 Hz, -36¢)
- Scientific pitch (C4 = 256 Hz): C♯7 (2169.8 Hz, +2¢)
- Baroque pitch (A4 = 415 Hz): D7 (2215.8 Hz, -35¢)
The digit sequence 2172 first appears in π at position 1,624 of the decimal expansion (the 1,624ordinal-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°.