461,742
461,742 is a composite number, even.
461,742 (four hundred sixty-one thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 41 × 1,877. Its proper divisors sum to 484,770, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x70BAE.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 1,344
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 247,164
- Square (n²)
- 213,205,674,564
- Cube (n³)
- 98,446,014,584,530,488
- Divisor count
- 16
- σ(n) — sum of divisors
- 946,512
- φ(n) — Euler's totient
- 150,080
- Sum of prime factors
- 1,923
Primality
Prime factorization: 2 × 3 × 41 × 1877
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√461,742 = [679; (1, 1, 15, 8, 3, 1, 1, 1, 21, 3, 1, 1, 5, 1, 4, 3, 1, 4, 1, 3, 4, 1, 5, 1, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty-one thousand seven hundred forty-two
- Ordinal
- 461742nd
- Binary
- 1110000101110101110
- Octal
- 1605656
- Hexadecimal
- 0x70BAE
- Base64
- Bwuu
- One's complement
- 4,294,505,553 (32-bit)
- Scientific notation
- 4.61742 × 10⁵
- As a duration
- 461,742 s = 5 days, 8 hours, 15 minutes, 42 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵υξαψμβʹ
- Chinese
- 四十六萬一千七百四十二
- Chinese (financial)
- 肆拾陸萬壹仟柒佰肆拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 461742, here are decompositions:
- 53 + 461689 = 461742
- 89 + 461653 = 461742
- 103 + 461639 = 461742
- 139 + 461603 = 461742
- 173 + 461569 = 461742
- 181 + 461561 = 461742
- 263 + 461479 = 461742
- 331 + 461411 = 461742
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.11.174.
- Address
- 0.7.11.174
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.11.174
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 461,742 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 461742 first appears in π at position 908,149 of the decimal expansion (the 908,149ordinal-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°.