3,988
3,988 is a composite number, even.
3,988 (three thousand nine hundred eighty-eight) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2² × 997. Written other ways, in Roman numerals it is MMMCMLXXXVIII and in binary, 111110010100.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 28
- Digit product
- 1,728
- Digital root
- 1
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 8,893
- Recamán's sequence
- a(14,415) = 3,988
- Square (n²)
- 15,904,144
- Cube (n³)
- 63,425,726,272
- Divisor count
- 6
- σ(n) — sum of divisors
- 6,986
- φ(n) — Euler's totient
- 1,992
- Sum of prime factors
- 1,001
Primality
Prime factorization: 2 2 × 997
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√3,988 = [63; (6, 1, 1, 1, 3, 2, 2, 1, 3, 1, 30, 1, 3, 1, 2, 2, 3, 1, 1, 1, 6, 126)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- three thousand nine hundred eighty-eight
- Ordinal
- 3988th
- Roman numeral
- MMMCMLXXXVIII
- Binary
- 111110010100
- Octal
- 7624
- Hexadecimal
- 0xF94
- Base64
- D5Q=
- One's complement
- 61,547 (16-bit)
- Scientific notation
- 3.988 × 10³
- As a duration
- 3,988 s = 1 hour, 6 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵γϡπηʹ
- Mayan (base 20)
- 𝋩·𝋳·𝋨
- Chinese
- 三千九百八十八
- Chinese (financial)
- 參仟玖佰捌拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 3,988 = 5
- e — Euler's number (e)
- Digit 3,988 = 4
- φ — Golden ratio (φ)
- Digit 3,988 = 5
- √2 — Pythagoras's (√2)
- Digit 3,988 = 9
- ln 2 — Natural log of 2
- Digit 3,988 = 8
- γ — Euler-Mascheroni (γ)
- Digit 3,988 = 5
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3988, here are decompositions:
- 41 + 3947 = 3988
- 59 + 3929 = 3988
- 71 + 3917 = 3988
- 107 + 3881 = 3988
- 137 + 3851 = 3988
- 167 + 3821 = 3988
- 191 + 3797 = 3988
- 227 + 3761 = 3988
Showing the first eight; more decompositions exist.
UTF-8 encoding: E0 BE 94 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.148.
- Address
- 0.0.15.148
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.15.148
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 3,988 Hz is closest to:
- Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +16¢)
- Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -46¢ — about midway to B7)
- Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, +17¢)
The digit sequence 3988 first appears in π at position 20,836 of the decimal expansion (the 20,836ordinal-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.