471,680
471,680 is a composite number, even.
471,680 (four hundred seventy-one thousand six hundred eighty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 5 × 11 × 67. Its proper divisors sum to 776,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73280.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 26
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 86,174
- Recamán's sequence
- a(136,924) = 471,680
- Square (n²)
- 222,482,022,400
- Cube (n³)
- 104,940,320,325,632,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,248,480
- φ(n) — Euler's totient
- 168,960
- Sum of prime factors
- 97
Primality
Prime factorization: 2 7 × 5 × 11 × 67
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√471,680 = [686; (1, 3, 1, 3, 17, 8, 14, 2, 1, 85, 5, 1, 2, 1, 3, 1, 1, 3, 4, 15, 5, 343, 5, 15, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-one thousand six hundred eighty
- Ordinal
- 471680th
- Binary
- 1110011001010000000
- Octal
- 1631200
- Hexadecimal
- 0x73280
- Base64
- BzKA
- One's complement
- 4,294,495,615 (32-bit)
- Scientific notation
- 4.7168 × 10⁵
- As a duration
- 471,680 s = 5 days, 11 hours, 1 minute, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υοαχπʹ
- Chinese
- 四十七萬一千六百八十
- Chinese (financial)
- 肆拾柒萬壹仟陸佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471680, here are decompositions:
- 3 + 471677 = 471680
- 7 + 471673 = 471680
- 31 + 471649 = 471680
- 61 + 471619 = 471680
- 73 + 471607 = 471680
- 109 + 471571 = 471680
- 127 + 471553 = 471680
- 193 + 471487 = 471680
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.50.128.
- Address
- 0.7.50.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.50.128
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 471,680 and was likely granted around 1891.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 471680 first appears in π at position 906,359 of the decimal expansion (the 906,359ordinal-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°.