1,054
1,054 is a composite number, even, a calendar year.
1,054 (one thousand fifty-four) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 17 × 31. Written other ways, in Roman numerals it is MLIV and in binary, 10000011110.
Interestingness
Notable events — 1054 AD
- Jul 16 The Great Schism splits the Catholic and Orthodox churches.
Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0
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
-
Sunday
January 1, 1054
- Ended on
-
Sunday
December 31, 1054
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
1050s
1050–1059
- Century
-
11th century
1001–1100
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
972
972 years before 2026.
In other calendars
- Hebrew
-
4814 / 4815 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
445 / 446 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Wood zodiac:Horse
Sexagenary cycle position 31 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1597 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
432 / 433 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1046 / 1047 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
976 / 975 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 × 17 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,054 = [32; (2, 6, 1, 2, 1, 1, 4, 2, 2, 1, 1, 1, 3, 1, 2, 3, 4, 32, 4, 3, 2, 1, 3, 1, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one thousand fifty-four
- Ordinal
- 1054th
- Roman numeral
- MLIV
- Binary
- 10000011110
- Octal
- 2036
- Hexadecimal
- 0x41E
- Base64
- BB4=
- One's complement
- 64,481 (16-bit)
- Scientific notation
- 1.054 × 10³
- As a duration
- 1,054 s = 17 minutes, 34 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ανδʹ
- Mayan (base 20)
- 𝋢·𝋬·𝋮
- Chinese
- 一千零五十四
- Chinese (financial)
- 壹仟零伍拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,054 = 5
- e — Euler's number (e)
- Digit 1,054 = 5
- φ — Golden ratio (φ)
- Digit 1,054 = 2
- √2 — Pythagoras's (√2)
- Digit 1,054 = 1
- ln 2 — Natural log of 2
- Digit 1,054 = 1
- γ — Euler-Mascheroni (γ)
- Digit 1,054 = 9
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1054, here are decompositions:
- 3 + 1051 = 1054
- 5 + 1049 = 1054
- 23 + 1031 = 1054
- 41 + 1013 = 1054
- 71 + 983 = 1054
- 83 + 971 = 1054
- 101 + 953 = 1054
- 107 + 947 = 1054
Showing the first eight; more decompositions exist.
UTF-8 encoding: D0 9E (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.30.
- Address
- 0.0.4.30
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.4.30
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,054 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, +12¢)
- Scientific pitch (C4 = 256 Hz): C6 (1024 Hz, +50¢ — about midway to C♯6)
- Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, +14¢)
The digit sequence 1054 first appears in π at position 15,751 of the decimal expansion (the 15,751ordinal-suffix:st 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.