473,984
473,984 is a composite number, even.
473,984 (four hundred seventy-three thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁷ × 7 × 23². Its proper divisors sum to 654,136, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73B80.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 35
- Digit product
- 24,192
- Digital root
- 8
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 489,374
- Square (n²)
- 224,660,832,256
- Cube (n³)
- 106,485,639,916,027,904
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,128,120
- φ(n) — Euler's totient
- 194,304
- Sum of prime factors
- 67
Primality
Prime factorization: 2 7 × 7 × 23 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√473,984 = [688; (2, 6, 1, 1, 1, 2, 1, 3, 1, 3, 1, 2, 1, 1, 1, 6, 2, 1376)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-three thousand nine hundred eighty-four
- Ordinal
- 473984th
- Binary
- 1110011101110000000
- Octal
- 1635600
- Hexadecimal
- 0x73B80
- Base64
- BzuA
- One's complement
- 4,294,493,311 (32-bit)
- Scientific notation
- 4.73984 × 10⁵
- As a duration
- 473,984 s = 5 days, 11 hours, 39 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υογϡπδʹ
- Chinese
- 四十七萬三千九百八十四
- Chinese (financial)
- 肆拾柒萬參仟玖佰捌拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473984, here are decompositions:
- 3 + 473981 = 473984
- 13 + 473971 = 473984
- 31 + 473953 = 473984
- 61 + 473923 = 473984
- 73 + 473911 = 473984
- 97 + 473887 = 473984
- 127 + 473857 = 473984
- 151 + 473833 = 473984
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.59.128.
- Address
- 0.7.59.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.59.128
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 473,984 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 473984 first appears in π at position 821,408 of the decimal expansion (the 821,408ordinal-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°.