1,078
1,078 is a composite number, even, a calendar year.
1,078 (one thousand seventy-eight) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2 × 7² × 11. Written other ways, in Roman numerals it is MLXXVIII and in binary, 10000110110.
Interestingness
Historical context — 1078 AD
Calendar year
Year 1078 (MLXXVIII) 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, 1078
- Ended on
-
Tuesday
December 31, 1078
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
1070s
1070–1079
- Century
-
11th century
1001–1100
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
948
948 years before 2026.
In other calendars
- Hebrew
-
4838 / 4839 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
470 / 471 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Earth zodiac:Horse
Sexagenary cycle position 55 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1621 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
456 / 457 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1070 / 1071 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1000 / 999 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 × 7 2 × 11
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,078 = [32; (1, 4, 1, 64)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- one thousand seventy-eight
- Ordinal
- 1078th
- Roman numeral
- MLXXVIII
- Binary
- 10000110110
- Octal
- 2066
- Hexadecimal
- 0x436
- Base64
- BDY=
- One's complement
- 64,457 (16-bit)
- Scientific notation
- 1.078 × 10³
- As a duration
- 1,078 s = 17 minutes, 58 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵αοηʹ
- Mayan (base 20)
- 𝋢·𝋭·𝋲
- Chinese
- 一千零七十八
- Chinese (financial)
- 壹仟零柒拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,078 = 3
- e — Euler's number (e)
- Digit 1,078 = 3
- φ — Golden ratio (φ)
- Digit 1,078 = 4
- √2 — Pythagoras's (√2)
- Digit 1,078 = 5
- ln 2 — Natural log of 2
- Digit 1,078 = 0
- γ — Euler-Mascheroni (γ)
- Digit 1,078 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1078, here are decompositions:
- 17 + 1061 = 1078
- 29 + 1049 = 1078
- 47 + 1031 = 1078
- 59 + 1019 = 1078
- 101 + 977 = 1078
- 107 + 971 = 1078
- 131 + 947 = 1078
- 137 + 941 = 1078
Showing the first eight; more decompositions exist.
UTF-8 encoding: D0 B6 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.54.
- Address
- 0.0.4.54
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.4.54
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,078 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C♯6 (1108.7 Hz, -49¢ — about midway to C6)
- Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, -11¢)
- Baroque pitch (A4 = 415 Hz): D6 (1107.9 Hz, -47¢ — about midway to C♯6)
The digit sequence 1078 first appears in π at position 12,883 of the decimal expansion (the 12,883ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.