477,312
477,312 is a composite number, even.
477,312 (four hundred seventy-seven thousand three hundred twelve) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 3 × 11 × 113. Its proper divisors sum to 918,048, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74880.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 1,176
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 213,774
- Square (n²)
- 227,826,745,344
- Cube (n³)
- 108,744,439,473,635,328
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,395,360
- φ(n) — Euler's totient
- 143,360
- Sum of prime factors
- 141
Primality
Prime factorization: 2 7 × 3 × 11 × 113
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√477,312 = [690; (1, 7, 5, 1, 1, 1, 10, 6, 1, 3, 1, 1, 4, 345, 4, 1, 1, 3, 1, 6, 10, 1, 1, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-seven thousand three hundred twelve
- Ordinal
- 477312th
- Binary
- 1110100100010000000
- Octal
- 1644200
- Hexadecimal
- 0x74880
- Base64
- B0iA
- One's complement
- 4,294,489,983 (32-bit)
- Scientific notation
- 4.77312 × 10⁵
- As a duration
- 477,312 s = 5 days, 12 hours, 35 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺
- Greek (Milesian)
- ͵υοζτιβʹ
- Chinese
- 四十七萬七千三百一十二
- Chinese (financial)
- 肆拾柒萬柒仟參佰壹拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 477312, here are decompositions:
- 19 + 477293 = 477312
- 53 + 477259 = 477312
- 83 + 477229 = 477312
- 103 + 477209 = 477312
- 149 + 477163 = 477312
- 163 + 477149 = 477312
- 181 + 477131 = 477312
- 239 + 477073 = 477312
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.72.128.
- Address
- 0.7.72.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.72.128
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 477,312 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 477312 first appears in π at position 213,349 of the decimal expansion (the 213,349ordinal-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°.