480,013
480,013 is a prime, odd.
480,013 (four hundred eighty thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7530D.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 310,084
- Square (n²)
- 230,412,480,169
- Cube (n³)
- 110,600,985,843,362,197
- Divisor count
- 2
- σ(n) — sum of divisors
- 480,014
- φ(n) — Euler's totient
- 480,012
Primality
480,013 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√480,013 = [692; (1, 4, 1, 6, 1, 4, 1, 1, 1, 2, 11, 1, 1, 3, 4, 1, 9, 1, 1, 1, 1, 4, 1, 1, …)]
Representations
- In words
- four hundred eighty thousand thirteen
- Ordinal
- 480013th
- Binary
- 1110101001100001101
- Octal
- 1651415
- Hexadecimal
- 0x7530D
- Base64
- B1MN
- One's complement
- 4,294,487,282 (32-bit)
- Scientific notation
- 4.80013 × 10⁵
- As a duration
- 480,013 s = 5 days, 13 hours, 20 minutes, 13 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵υπιγʹ
- Chinese
- 四十八萬零一十三
- Chinese (financial)
- 肆拾捌萬零壹拾參
Also seen as
As an unsigned 32-bit integer, this is the IPv4 address 0.7.83.13.
- Address
- 0.7.83.13
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.83.13
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 480,013 and was likely granted around 1892.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 480013 first appears in π at position 416,416 of the decimal expansion (the 416,416ordinal-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
- Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.