4,968
4,968 is a composite number, even.
4,968 (four thousand nine hundred sixty-eight) is an even 4-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3³ × 23. Its proper divisors sum to 9,432, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1368.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 27
- Digit product
- 1,728
- Digital root
- 9
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 8,694
- Recamán's sequence
- a(28,192) = 4,968
- Square (n²)
- 24,681,024
- Cube (n³)
- 122,615,327,232
- Divisor count
- 32
- σ(n) — sum of divisors
- 14,400
- φ(n) — Euler's totient
- 1,584
- Sum of prime factors
- 38
Primality
Prime factorization: 2 3 × 3 3 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√4,968 = [70; (2, 15, 6, 15, 2, 140)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- four thousand nine hundred sixty-eight
- Ordinal
- 4968th
- Binary
- 1001101101000
- Octal
- 11550
- Hexadecimal
- 0x1368
- Base64
- E2g=
- One's complement
- 60,567 (16-bit)
- Scientific notation
- 4.968 × 10³
- As a duration
- 4,968 s = 1 hour, 22 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵δϡξηʹ
- Mayan (base 20)
- 𝋬·𝋨·𝋨
- Chinese
- 四千九百六十八
- Chinese (financial)
- 肆仟玖佰陸拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 4,968 = 4
- e — Euler's number (e)
- Digit 4,968 = 8
- φ — Golden ratio (φ)
- Digit 4,968 = 9
- √2 — Pythagoras's (√2)
- Digit 4,968 = 2
- ln 2 — Natural log of 2
- Digit 4,968 = 6
- γ — Euler-Mascheroni (γ)
- Digit 4,968 = 4
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4968, here are decompositions:
- 11 + 4957 = 4968
- 17 + 4951 = 4968
- 31 + 4937 = 4968
- 37 + 4931 = 4968
- 59 + 4909 = 4968
- 79 + 4889 = 4968
- 97 + 4871 = 4968
- 107 + 4861 = 4968
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 8D A8 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.104.
- Address
- 0.0.19.104
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.19.104
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 4,968 Hz is closest to:
- Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, -3¢)
- Scientific pitch (C4 = 256 Hz): D♯8 (4871 Hz, +34¢)
- Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, -2¢)
The digit sequence 4968 first appears in π at position 22,643 of the decimal expansion (the 22,643ordinal-suffix:rd 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°.