477,972
477,972 is a composite number, even.
477,972 (four hundred seventy-seven thousand nine hundred seventy-two) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 11 × 17 × 71. Its proper divisors sum to 937,260, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74B14.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 36
- Digit product
- 24,696
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 279,774
- Square (n²)
- 228,457,232,784
- Cube (n³)
- 109,196,160,468,234,048
- Divisor count
- 72
- σ(n) — sum of divisors
- 1,415,232
- φ(n) — Euler's totient
- 134,400
- Sum of prime factors
- 109
Primality
Prime factorization: 2 2 × 3 2 × 11 × 17 × 71
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√477,972 = [691; (2, 1, 4, 2, 2, 1, 1, 85, 1, 5, 20, 5, 1, 85, 1, 1, 2, 2, 4, 1, 2, 1382)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-seven thousand nine hundred seventy-two
- Ordinal
- 477972nd
- Binary
- 1110100101100010100
- Octal
- 1645424
- Hexadecimal
- 0x74B14
- Base64
- B0sU
- One's complement
- 4,294,489,323 (32-bit)
- Scientific notation
- 4.77972 × 10⁵
- As a duration
- 477,972 s = 5 days, 12 hours, 46 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵υοζϡοβʹ
- Chinese
- 四十七萬七千九百七十二
- Chinese (financial)
- 肆拾柒萬柒仟玖佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 477972, here are decompositions:
- 31 + 477941 = 477972
- 59 + 477913 = 477972
- 73 + 477899 = 477972
- 109 + 477863 = 477972
- 149 + 477823 = 477972
- 151 + 477821 = 477972
- 163 + 477809 = 477972
- 181 + 477791 = 477972
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.75.20.
- Address
- 0.7.75.20
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.75.20
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 477,972 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 477972 first appears in π at position 130,663 of the decimal expansion (the 130,663ordinal-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°.