471,872
471,872 is a composite number, even.
471,872 (four hundred seventy-one thousand eight hundred seventy-two) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 73 × 101. Its proper divisors sum to 486,724, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73340.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 29
- Digit product
- 3,136
- Digital root
- 2
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 278,174
- Square (n²)
- 222,663,184,384
- Cube (n³)
- 105,068,522,141,646,848
- Divisor count
- 28
- σ(n) — sum of divisors
- 958,596
- φ(n) — Euler's totient
- 230,400
- Sum of prime factors
- 186
Primality
Prime factorization: 2 6 × 73 × 101
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√471,872 = [686; (1, 13, 6, 11, 5, 3, 1, 1, 1, 1, 3, 1, 2, 1, 4, 9, 1, 4, 2, 6, 1, 1, 3, 1, …)]
Representations
- In words
- four hundred seventy-one thousand eight hundred seventy-two
- Ordinal
- 471872nd
- Binary
- 1110011001101000000
- Octal
- 1631500
- Hexadecimal
- 0x73340
- Base64
- BzNA
- One's complement
- 4,294,495,423 (32-bit)
- Scientific notation
- 4.71872 × 10⁵
- As a duration
- 471,872 s = 5 days, 11 hours, 4 minutes, 32 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵υοαωοβʹ
- Chinese
- 四十七萬一千八百七十二
- Chinese (financial)
- 肆拾柒萬壹仟捌佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471872, here are decompositions:
- 19 + 471853 = 471872
- 31 + 471841 = 471872
- 103 + 471769 = 471872
- 151 + 471721 = 471872
- 199 + 471673 = 471872
- 223 + 471649 = 471872
- 283 + 471589 = 471872
- 421 + 471451 = 471872
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.51.64.
- Address
- 0.7.51.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.51.64
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 471,872 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 471872 first appears in π at position 922,171 of the decimal expansion (the 922,171ordinal-suffix:st 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°.