4,264
4,264 is a composite number, even.
4,264 (four thousand two hundred sixty-four) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 13 × 41. Its proper divisors sum to 4,556, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x10A8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 16
- Digit product
- 192
- Digital root
- 7
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 4,624
- Recamán's sequence
- a(28,648) = 4,264
- Square (n²)
- 18,181,696
- Cube (n³)
- 77,526,751,744
- Divisor count
- 16
- σ(n) — sum of divisors
- 8,820
- φ(n) — Euler's totient
- 1,920
- Sum of prime factors
- 60
Primality
Prime factorization: 2 3 × 13 × 41
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√4,264 = [65; (3, 2, 1, 13, 1, 4, 3, 2, 2, 1, 4, 1, 31, 1, 4, 1, 2, 2, 3, 4, 1, 13, 1, 2, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- four thousand two hundred sixty-four
- Ordinal
- 4264th
- Binary
- 1000010101000
- Octal
- 10250
- Hexadecimal
- 0x10A8
- Base64
- EKg=
- One's complement
- 61,271 (16-bit)
- Scientific notation
- 4.264 × 10³
- As a duration
- 4,264 s = 1 hour, 11 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵δσξδʹ
- Mayan (base 20)
- 𝋪·𝋭·𝋤
- Chinese
- 四千二百六十四
- Chinese (financial)
- 肆仟貳佰陸拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 4,264 = 4
- e — Euler's number (e)
- Digit 4,264 = 2
- φ — Golden ratio (φ)
- Digit 4,264 = 5
- √2 — Pythagoras's (√2)
- Digit 4,264 = 1
- ln 2 — Natural log of 2
- Digit 4,264 = 7
- γ — Euler-Mascheroni (γ)
- Digit 4,264 = 8
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4264, here are decompositions:
- 3 + 4261 = 4264
- 5 + 4259 = 4264
- 11 + 4253 = 4264
- 23 + 4241 = 4264
- 47 + 4217 = 4264
- 53 + 4211 = 4264
- 107 + 4157 = 4264
- 131 + 4133 = 4264
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 82 A8 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.168.
- Address
- 0.0.16.168
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.16.168
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 4,264 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C8 (4186 Hz, +32¢)
- Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, -30¢)
- Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, +33¢)
The digit sequence 4264 first appears in π at position 5,840 of the decimal expansion (the 5,840ordinal-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.