6,048
6,048 is a composite number, even.
6,048 (six thousand forty-eight) is an even 4-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3³ × 7. Its proper divisors sum to 14,112, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x17A0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 8,406
- Recamán's sequence
- a(12,667) = 6,048
- Square (n²)
- 36,578,304
- Cube (n³)
- 221,225,582,592
- Divisor count
- 48
- σ(n) — sum of divisors
- 20,160
- φ(n) — Euler's totient
- 1,728
- Sum of prime factors
- 26
Primality
Prime factorization: 2 5 × 3 3 × 7
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√6,048 = [77; (1, 3, 3, 16, 1, 37, 1, 16, 3, 3, 1, 154)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- six thousand forty-eight
- Ordinal
- 6048th
- Binary
- 1011110100000
- Octal
- 13640
- Hexadecimal
- 0x17A0
- Base64
- F6A=
- One's complement
- 59,487 (16-bit)
- Scientific notation
- 6.048 × 10³
- As a duration
- 6,048 s = 1 hour, 40 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϛμηʹ
- Mayan (base 20)
- 𝋯·𝋢·𝋨
- Chinese
- 六千零四十八
- Chinese (financial)
- 陸仟零肆拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 6,048 = 5
- e — Euler's number (e)
- Digit 6,048 = 6
- φ — Golden ratio (φ)
- Digit 6,048 = 1
- √2 — Pythagoras's (√2)
- Digit 6,048 = 9
- ln 2 — Natural log of 2
- Digit 6,048 = 0
- γ — Euler-Mascheroni (γ)
- Digit 6,048 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6048, here are decompositions:
- 5 + 6043 = 6048
- 11 + 6037 = 6048
- 19 + 6029 = 6048
- 37 + 6011 = 6048
- 41 + 6007 = 6048
- 61 + 5987 = 6048
- 67 + 5981 = 6048
- 109 + 5939 = 6048
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 9E A0 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.160.
- Address
- 0.0.23.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.23.160
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 6,048 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, +37¢)
- Scientific pitch (C4 = 256 Hz): G8 (6137.1 Hz, -25¢)
- Baroque pitch (A4 = 415 Hz): G8 (5915.6 Hz, +38¢)
The digit sequence 6048 first appears in π at position 37,275 of the decimal expansion (the 37,275ordinal-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°.