513,406
513,406 is a composite number, even.
513,406 (five hundred thirteen thousand four hundred six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 23 × 11,161. Written other ways, in hexadecimal, 0x7D57E.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 19
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 604,315
- Square (n²)
- 263,585,720,836
- Cube (n³)
- 135,326,490,591,527,416
- Divisor count
- 8
- σ(n) — sum of divisors
- 803,664
- φ(n) — Euler's totient
- 245,520
- Sum of prime factors
- 11,186
Primality
Prime factorization: 2 × 23 × 11161
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,406 = [716; (1, 1, 10, 8, 1, 2, 3, 2, 1, 1, 8, 1, 1, 6, 62, 6, 1, 1, 8, 1, 1, 2, 3, 2, …)]
Period length 30 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirteen thousand four hundred six
- Ordinal
- 513406th
- Binary
- 1111101010101111110
- Octal
- 1752576
- Hexadecimal
- 0x7D57E
- Base64
- B9V+
- One's complement
- 4,294,453,889 (32-bit)
- Scientific notation
- 5.13406 × 10⁵
- As a duration
- 513,406 s = 5 days, 22 hours, 36 minutes, 46 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵φιγυϛʹ
- Chinese
- 五十一萬三千四百零六
- Chinese (financial)
- 伍拾壹萬參仟肆佰零陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513406, here are decompositions:
- 53 + 513353 = 513406
- 59 + 513347 = 513406
- 137 + 513269 = 513406
- 149 + 513257 = 513406
- 167 + 513239 = 513406
- 233 + 513173 = 513406
- 239 + 513167 = 513406
- 269 + 513137 = 513406
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.126.
- Address
- 0.7.213.126
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.213.126
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 513,406 and was likely granted around 1893.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 513406 first appears in π at position 127,743 of the decimal expansion (the 127,743ordinal-suffix:rd 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°.