472,416
472,416 is a composite number, even.
472,416 (four hundred seventy-two thousand four hundred sixteen) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 7 × 19 × 37. Its proper divisors sum to 1,059,744, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73560.
Interestingness
Properties
Primality
Prime factorization: 2 5 × 3 × 7 × 19 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,416 = [687; (3, 13, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 13, 3, 1374)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-two thousand four hundred sixteen
- Ordinal
- 472416th
- Binary
- 1110011010101100000
- Octal
- 1632540
- Hexadecimal
- 0x73560
- Base64
- BzVg
- One's complement
- 4,294,494,879 (32-bit)
- Scientific notation
- 4.72416 × 10⁵
- As a duration
- 472,416 s = 5 days, 11 hours, 13 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υοβυιϛʹ
- Chinese
- 四十七萬二千四百一十六
- Chinese (financial)
- 肆拾柒萬貳仟肆佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472416, here are decompositions:
- 5 + 472411 = 472416
- 17 + 472399 = 472416
- 23 + 472393 = 472416
- 47 + 472369 = 472416
- 67 + 472349 = 472416
- 83 + 472333 = 472416
- 97 + 472319 = 472416
- 107 + 472309 = 472416
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.96.
- Address
- 0.7.53.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.53.96
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 472,416 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 472416 first appears in π at position 223,122 of the decimal expansion (the 223,122ordinal-suffix:nd 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°.