472,104
472,104 is a composite number, even.
472,104 (four hundred seventy-two thousand one hundred four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 79 × 83. Its proper divisors sum to 838,296, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73428.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 401,274
- Square (n²)
- 222,882,186,816
- Cube (n³)
- 105,223,571,924,580,864
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,310,400
- φ(n) — Euler's totient
- 153,504
- Sum of prime factors
- 174
Primality
Prime factorization: 2 3 × 3 2 × 79 × 83
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,104 = [687; (10, 5, 1, 1, 1, 1, 18, 1, 2, 1, 28, 2, 28, 1, 2, 1, 18, 1, 1, 1, 1, 5, 10, 1374)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-two thousand one hundred four
- Ordinal
- 472104th
- Binary
- 1110011010000101000
- Octal
- 1632050
- Hexadecimal
- 0x73428
- Base64
- BzQo
- One's complement
- 4,294,495,191 (32-bit)
- Scientific notation
- 4.72104 × 10⁵
- As a duration
- 472,104 s = 5 days, 11 hours, 8 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υοβρδʹ
- Chinese
- 四十七萬二千一百零四
- Chinese (financial)
- 肆拾柒萬貳仟壹佰零肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472104, here are decompositions:
- 37 + 472067 = 472104
- 41 + 472063 = 472104
- 47 + 472057 = 472104
- 53 + 472051 = 472104
- 107 + 471997 = 472104
- 173 + 471931 = 472104
- 181 + 471923 = 472104
- 197 + 471907 = 472104
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.40.
- Address
- 0.7.52.40
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.52.40
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 472,104 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 472104 first appears in π at position 4,771 of the decimal expansion (the 4,771ordinal-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°.