461,472
461,472 is a composite number, even.
461,472 (four hundred sixty-one thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 11 × 19 × 23. Its proper divisors sum to 990,048, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x70AA0.
Interestingness
Properties
Primality
Prime factorization: 2 5 × 3 × 11 × 19 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√461,472 = [679; (3, 6, 1, 1, 2, 27, 3, 339, 3, 27, 2, 1, 1, 6, 3, 1358)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty-one thousand four hundred seventy-two
- Ordinal
- 461472nd
- Binary
- 1110000101010100000
- Octal
- 1605240
- Hexadecimal
- 0x70AA0
- Base64
- Bwqg
- One's complement
- 4,294,505,823 (32-bit)
- Scientific notation
- 4.61472 × 10⁵
- As a duration
- 461,472 s = 5 days, 8 hours, 11 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵υξαυοβʹ
- Chinese
- 四十六萬一千四百七十二
- Chinese (financial)
- 肆拾陸萬壹仟肆佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 461472, here are decompositions:
- 5 + 461467 = 461472
- 29 + 461443 = 461472
- 31 + 461441 = 461472
- 59 + 461413 = 461472
- 61 + 461411 = 461472
- 79 + 461393 = 461472
- 113 + 461359 = 461472
- 139 + 461333 = 461472
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.10.160.
- Address
- 0.7.10.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.10.160
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 461,472 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 461472 first appears in π at position 425,125 of the decimal expansion (the 425,125ordinal-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°.