3,216
3,216 is a composite number, even.
3,216 (three thousand two hundred sixteen) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 67. Its proper divisors sum to 5,216, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCCXVI and in binary, 110010010000.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 12
- Digit product
- 36
- Digital root
- 3
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 6,123
- Recamán's sequence
- a(6,916) = 3,216
- Square (n²)
- 10,342,656
- Cube (n³)
- 33,261,981,696
- Divisor count
- 20
- σ(n) — sum of divisors
- 8,432
- φ(n) — Euler's totient
- 1,056
- Sum of prime factors
- 78
Primality
Prime factorization: 2 4 × 3 × 67
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√3,216 = [56; (1, 2, 2, 4, 9, 4, 2, 2, 1, 112)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- three thousand two hundred sixteen
- Ordinal
- 3216th
- Roman numeral
- MMMCCXVI
- Binary
- 110010010000
- Octal
- 6220
- Hexadecimal
- 0xC90
- Base64
- DJA=
- One's complement
- 62,319 (16-bit)
- Scientific notation
- 3.216 × 10³
- As a duration
- 3,216 s = 53 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵γσιϛʹ
- Mayan (base 20)
- 𝋨·𝋠·𝋰
- Chinese
- 三千二百一十六
- Chinese (financial)
- 參仟貳佰壹拾陸
Digit at this position in famous constants
- π — Pi (π)
- Digit 3,216 = 9
- e — Euler's number (e)
- Digit 3,216 = 6
- φ — Golden ratio (φ)
- Digit 3,216 = 7
- √2 — Pythagoras's (√2)
- Digit 3,216 = 2
- ln 2 — Natural log of 2
- Digit 3,216 = 8
- γ — Euler-Mascheroni (γ)
- Digit 3,216 = 0
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3216, here are decompositions:
- 7 + 3209 = 3216
- 13 + 3203 = 3216
- 29 + 3187 = 3216
- 47 + 3169 = 3216
- 53 + 3163 = 3216
- 79 + 3137 = 3216
- 97 + 3119 = 3216
- 107 + 3109 = 3216
Showing the first eight; more decompositions exist.
UTF-8 encoding: E0 B2 90 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.144.
- Address
- 0.0.12.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.12.144
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 3,216 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G7 (3136 Hz, +44¢)
- Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, -19¢)
- Baroque pitch (A4 = 415 Hz): G♯7 (3133.7 Hz, +45¢ — about midway to A7)
The digit sequence 3216 first appears in π at position 18,301 of the decimal expansion (the 18,301ordinal-suffix:st 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°.