471,072
471,072 is a composite number, even.
471,072 (four hundred seventy-one thousand seventy-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 7 × 701. Its proper divisors sum to 944,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73020.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 270,174
- Square (n²)
- 221,908,829,184
- Cube (n³)
- 104,535,035,981,365,248
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,415,232
- φ(n) — Euler's totient
- 134,400
- Sum of prime factors
- 721
Primality
Prime factorization: 2 5 × 3 × 7 × 701
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√471,072 = [686; (2, 1, 7, 1, 1, 4, 4, 1, 1, 3, 1, 1, 11, 1, 4, 7, 1, 11, 2, 1, 1, 1, 4, 2, …)]
Representations
- In words
- four hundred seventy-one thousand seventy-two
- Ordinal
- 471072nd
- Binary
- 1110011000000100000
- Octal
- 1630040
- Hexadecimal
- 0x73020
- Base64
- BzAg
- One's complement
- 4,294,496,223 (32-bit)
- Scientific notation
- 4.71072 × 10⁵
- As a duration
- 471,072 s = 5 days, 10 hours, 51 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵υοαοβʹ
- Chinese
- 四十七萬一千零七十二
- Chinese (financial)
- 肆拾柒萬壹仟零柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471072, here are decompositions:
- 11 + 471061 = 471072
- 31 + 471041 = 471072
- 73 + 470999 = 471072
- 79 + 470993 = 471072
- 113 + 470959 = 471072
- 131 + 470941 = 471072
- 139 + 470933 = 471072
- 181 + 470891 = 471072
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.48.32.
- Address
- 0.7.48.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.48.32
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 471,072 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 471072 first appears in π at position 574,309 of the decimal expansion (the 574,309ordinal-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°.