1,005
1,005 is a composite number, odd, a calendar year.
1,005 (one thousand five) is an odd 4-digit number. It is a composite number with 8 divisors, and factors as 3 × 5 × 67. Written other ways, in Roman numerals it is MV and in binary, 1111101101.
Interestingness
Historical context — 1005 AD
Calendar year
Year 1005 (MV) was a common year starting on Monday of the Julian calendar.
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Year facts
- Year type
-
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
- Days in year
- 365
- ISO weeks
- 52
- Started on
-
Tuesday
January 1, 1005
- Ended on
-
Tuesday
December 31, 1005
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
1000s
1000–1009
- Century
-
11th century
1001–1100
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
1,021
1021 years before 2026.
In other calendars
- Hebrew
-
4765 / 4766 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
395 / 396 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Wood zodiac:Snake
Sexagenary cycle position 42 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1548 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
383 / 384 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
997 / 998 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
927 / 926 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 3 × 5 × 67
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,005 = [31; (1, 2, 2, 1, 5, 15, 1, 2, 12, 2, 1, 15, 5, 1, 2, 2, 1, 62)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- one thousand five
- Ordinal
- 1005th
- Roman numeral
- MV
- Binary
- 1111101101
- Octal
- 1755
- Hexadecimal
- 0x3ED
- Base64
- A+0=
- One's complement
- 64,530 (16-bit)
- Scientific notation
- 1.005 × 10³
- As a duration
- 1,005 s = 16 minutes, 45 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵αεʹ
- Mayan (base 20)
- 𝋢·𝋪·𝋥
- Chinese
- 一千零五
- Chinese (financial)
- 壹仟零伍
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,005 = 9
- e — Euler's number (e)
- Digit 1,005 = 2
- φ — Golden ratio (φ)
- Digit 1,005 = 6
- √2 — Pythagoras's (√2)
- Digit 1,005 = 6
- ln 2 — Natural log of 2
- Digit 1,005 = 1
- γ — Euler-Mascheroni (γ)
- Digit 1,005 = 4
Also seen as
UTF-8 encoding: CF AD (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.237.
- Address
- 0.0.3.237
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.3.237
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,005 Hz is closest to:
- Concert pitch (A4 = 440 Hz): B5 (987.8 Hz, +30¢)
- Scientific pitch (C4 = 256 Hz): C6 (1024 Hz, -32¢)
- Baroque pitch (A4 = 415 Hz): C6 (987 Hz, +31¢)
The digit sequence 1005 first appears in π at position 2,880 of the decimal expansion (the 2,880ordinal-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°.