6,090
6,090 is a composite number, even.
6,090 (six thousand ninety) is an even 4-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 7 × 29. Its proper divisors sum to 11,190, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x17CA.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 906
- Flips to (rotate 180°)
- 609
- Recamán's sequence
- a(12,583) = 6,090
- Square (n²)
- 37,088,100
- Cube (n³)
- 225,866,529,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 17,280
- φ(n) — Euler's totient
- 1,344
- Sum of prime factors
- 46
Primality
Prime factorization: 2 × 3 × 5 × 7 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√6,090 = [78; (26, 156)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- six thousand ninety
- Ordinal
- 6090th
- Binary
- 1011111001010
- Octal
- 13712
- Hexadecimal
- 0x17CA
- Base64
- F8o=
- One's complement
- 59,445 (16-bit)
- Scientific notation
- 6.09 × 10³
- As a duration
- 6,090 s = 1 hour, 41 minutes, 30 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ϛϟʹ
- Mayan (base 20)
- 𝋯·𝋤·𝋪
- Chinese
- 六千零九十
- Chinese (financial)
- 陸仟零玖拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 6,090 = 7
- e — Euler's number (e)
- Digit 6,090 = 2
- φ — Golden ratio (φ)
- Digit 6,090 = 7
- √2 — Pythagoras's (√2)
- Digit 6,090 = 8
- ln 2 — Natural log of 2
- Digit 6,090 = 4
- γ — Euler-Mascheroni (γ)
- Digit 6,090 = 5
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6090, here are decompositions:
- 11 + 6079 = 6090
- 17 + 6073 = 6090
- 23 + 6067 = 6090
- 37 + 6053 = 6090
- 43 + 6047 = 6090
- 47 + 6043 = 6090
- 53 + 6037 = 6090
- 61 + 6029 = 6090
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 9F 8A (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.202.
- Address
- 0.0.23.202
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.23.202
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 6,090 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, +49¢ — about midway to G8)
- Scientific pitch (C4 = 256 Hz): G8 (6137.1 Hz, -13¢)
- Baroque pitch (A4 = 415 Hz): G♯8 (6267.3 Hz, -50¢ — about midway to G8)
The digit sequence 6090 first appears in π at position 8,105 of the decimal expansion (the 8,105ordinal-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°.