481,320
481,320 is a composite number, even.
481,320 (four hundred eighty-one thousand three hundred twenty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 5 × 7 × 191. Its proper divisors sum to 1,315,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x75828.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 23,184
- Recamán's sequence
- a(142,456) = 481,320
- Square (n²)
- 231,668,942,400
- Cube (n³)
- 111,506,895,355,968,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 1,797,120
- φ(n) — Euler's totient
- 109,440
- Sum of prime factors
- 215
Primality
Prime factorization: 2 3 × 3 2 × 5 × 7 × 191
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√481,320 = [693; (1, 3, 2, 1, 1, 4, 4, 1, 3, 11, 4, 1, 7, 1, 1, 1, 11, 154, 11, 1, 1, 1, 7, 1, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- four hundred eighty-one thousand three hundred twenty
- Ordinal
- 481320th
- Binary
- 1110101100000101000
- Octal
- 1654050
- Hexadecimal
- 0x75828
- Base64
- B1go
- One's complement
- 4,294,485,975 (32-bit)
- Scientific notation
- 4.8132 × 10⁵
- As a duration
- 481,320 s = 5 days, 13 hours, 42 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵υπατκʹ
- Chinese
- 四十八萬一千三百二十
- Chinese (financial)
- 肆拾捌萬壹仟參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 481320, here are decompositions:
- 13 + 481307 = 481320
- 17 + 481303 = 481320
- 19 + 481301 = 481320
- 23 + 481297 = 481320
- 71 + 481249 = 481320
- 89 + 481231 = 481320
- 109 + 481211 = 481320
- 113 + 481207 = 481320
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.88.40.
- Address
- 0.7.88.40
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.88.40
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 481,320 and was likely granted around 1892.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 481320 first appears in π at position 531,137 of the decimal expansion (the 531,137ordinal-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°.