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Number

1,044

1,044 is a composite number, even, a calendar year.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 1044 AD

Calendar year

Year 1044 (MXLIV) was a leap year starting on Sunday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Monday
January 1, 1044
Ended on
Tuesday
December 31, 1044
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1040s
1040–1049
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
982
982 years before 2026.

In other calendars

Hebrew
4804 / 4805 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
435 / 436 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Monkey
Sexagenary cycle position 21 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1587 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
422 / 423 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1036 / 1037 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
966 / 965 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
4,401
Recamán's sequence
a(4,331) = 1,044
Square (n²)
1,089,936
Cube (n³)
1,137,893,184
Divisor count
18
σ(n) — sum of divisors
2,730
φ(n) — Euler's totient
336
Sum of prime factors
39

Primality

Prime factorization: 2 2 × 3 2 × 29

Nearest primes: 1,039 (−5) · 1,049 (+5)

Divisors & multiples

All divisors (18)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 29 · 36 · 58 · 87 · 116 · 174 · 261 · 348 · 522 (half) · 1044
Aliquot sum (sum of proper divisors): 1,686
Factor pairs (a × b = 1,044)
1 × 1044
2 × 522
3 × 348
4 × 261
6 × 174
9 × 116
12 × 87
18 × 58
29 × 36
First multiples
1,044 · 2,088 (double) · 3,132 · 4,176 · 5,220 · 6,264 · 7,308 · 8,352 · 9,396 · 10,440

Sums & aliquot sequence

As a sum of two squares: 12² + 30²
As consecutive integers: 347 + 348 + 349 127 + 128 + … + 134 112 + 113 + … + 120 32 + 33 + … + 55
Aliquot sequence: 1,044 1,686 1,698 1,710 2,970 5,670 11,754 13,752 23,688 51,192 94,008 141,072 223,488 427,526 272,098 147,194 73,600 — unresolved within range

Representations

In words
one thousand forty-four
Ordinal
1044th
Roman numeral
MXLIV
Binary
10000010100
Octal
2024
Hexadecimal
0x414
Base64
BBQ=
One's complement
64,491 (16-bit)
In other bases
ternary (3) 1102200
quaternary (4) 100110
quinary (5) 13134
senary (6) 4500
septenary (7) 3021
nonary (9) 1380
undecimal (11) 86a
duodecimal (12) 730
tridecimal (13) 624
tetradecimal (14) 548
pentadecimal (15) 499

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αμδʹ
Mayan (base 20)
𝋢·𝋬·𝋤
Chinese
一千零四十四
Chinese (financial)
壹仟零肆拾肆
In other modern scripts
Eastern Arabic ١٠٤٤ Devanagari १०४४ Bengali ১০৪৪ Tamil ௧௦௪௪ Thai ๑๐๔๔ Tibetan ༡༠༤༤ Khmer ១០៤៤ Lao ໑໐໔໔ Burmese ၁၀၄၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,044 = 3
e — Euler's number (e)
Digit 1,044 = 9
φ — Golden ratio (φ)
Digit 1,044 = 0
√2 — Pythagoras's (√2)
Digit 1,044 = 2
ln 2 — Natural log of 2
Digit 1,044 = 7
γ — Euler-Mascheroni (γ)
Digit 1,044 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1044, here are decompositions:

  • 5 + 1039 = 1044
  • 11 + 1033 = 1044
  • 13 + 1031 = 1044
  • 23 + 1021 = 1044
  • 31 + 1013 = 1044
  • 47 + 997 = 1044
  • 53 + 991 = 1044
  • 61 + 983 = 1044

Showing the first eight; more decompositions exist.

Unicode codepoint
Д
Cyrillic Capital Letter De
U+0414
Uppercase letter (Lu)

UTF-8 encoding: D0 94 (2 bytes).

Hex color
#000414
RGB(0, 4, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.20.

Address
0.0.4.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.20

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 1044 first appears in π at position 3,966 of the decimal expansion (the 3,966ordinal-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.