1,047,200
1,047,200 is a composite number, even.
1,047,200 (one million forty-seven thousand two hundred) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 5² × 7 × 11 × 17. Its proper divisors sum to 2,327,584, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFFAA0.
Interestingness
Properties
Primality
Prime factorization: 2 5 × 5 2 × 7 × 11 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,047,200 = [1023; (3, 20, 7, 1, 1, 81, 3, 511, 3, 81, 1, 1, 7, 20, 3, 2046)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one million forty-seven thousand two hundred
- Ordinal
- 1047200th
- Binary
- 11111111101010100000
- Octal
- 3775240
- Hexadecimal
- 0xFFAA0
- Base64
- D/qg
- One's complement
- 4,293,920,095 (32-bit)
- Scientific notation
- 1.0472 × 10⁶
- As a duration
- 1,047,200 s = 12 days, 2 hours, 53 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢
- Chinese
- 一百零四萬七千二百
- Chinese (financial)
- 壹佰零肆萬柒仟貳佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1047200, here are decompositions:
- 3 + 1047197 = 1047200
- 43 + 1047157 = 1047200
- 61 + 1047139 = 1047200
- 67 + 1047133 = 1047200
- 73 + 1047127 = 1047200
- 103 + 1047097 = 1047200
- 139 + 1047061 = 1047200
- 157 + 1047043 = 1047200
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.250.160.
- Address
- 0.15.250.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.250.160
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Could be parsed as a date. Most likely interpretation: Tuesday, January 4, 7200 (MDDYYYY (US, single-digit month)).
Other possible interpretations (3)
- 7200-04-01 (DMMYYYY (Euro, single-digit day))
- 7200-10-04 (MMDYYYY (US, single-digit day))
- 7200-04-10 (DDMYYYY (Euro, single-digit month))
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,047,200 and was likely granted around 1912.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 1047200 first appears in π at position 979,925 of the decimal expansion (the 979,925ordinal-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°.