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Number

1,054

1,054 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Self Number Sphenic Number Squarefree Year

Notable events — 1054 AD

  1. 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

Parity
Even
Digit count
4
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
11 bits
Reversed
4,501
Recamán's sequence
a(4,311) = 1,054
Square (n²)
1,110,916
Cube (n³)
1,170,905,464
Divisor count
8
σ(n) — sum of divisors
1,728
φ(n) — Euler's totient
480
Sum of prime factors
50

Primality

Prime factorization: 2 × 17 × 31

Nearest primes: 1,051 (−3) · 1,061 (+7)

Divisors & multiples

All divisors (8)
1 · 2 · 17 · 31 · 34 · 62 · 527 (half) · 1054
Aliquot sum (sum of proper divisors): 674
Factor pairs (a × b = 1,054)
1 × 1054
2 × 527
17 × 62
31 × 34
First multiples
1,054 · 2,108 (double) · 3,162 · 4,216 · 5,270 · 6,324 · 7,378 · 8,432 · 9,486 · 10,540

Sums & aliquot sequence

As consecutive integers: 262 + 263 + 264 + 265 54 + 55 + … + 70 19 + 20 + … + 49
Aliquot sequence: 1,054 674 340 416 466 236 184 176 196 203 37 1 0 — terminates at zero

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)
In other bases
ternary (3) 1110001
quaternary (4) 100132
quinary (5) 13204
senary (6) 4514
septenary (7) 3034
nonary (9) 1401
undecimal (11) 879
duodecimal (12) 73a
tridecimal (13) 631
tetradecimal (14) 554
pentadecimal (15) 4a4

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
In other modern scripts
Eastern Arabic ١٠٥٤ Devanagari १०५४ Bengali ১০৫৪ Tamil ௧௦௫௪ Thai ๑๐๕๔ Tibetan ༡༠༥༤ Khmer ១០៥៤ Lao ໑໐໕໔ Burmese ၁၀၅၄

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 decomposition

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.

Unicode codepoint
О
Cyrillic Capital Letter O
U+041E
Uppercase letter (Lu)

UTF-8 encoding: D0 9E (2 bytes).

Hex color
#00041E
RGB(0, 4, 30)
IPv4 address

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.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001054
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

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.