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Number

1,045

1,045 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Octagonal Recamán's Sequence Sphenic Number Squarefree Year

Historical context — 1045 AD

Calendar year

Year 1045 (MXLV) was a common year starting on Tuesday 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
Wednesday
January 1, 1045
Ended on
Wednesday
December 31, 1045
Friday the 13ths
1
One Friday the 13th this year.
Decade
1040s
1040–1049
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
981
981 years before 2026.

In other calendars

Hebrew
4805 / 4806 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
436 / 437 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Rooster
Sexagenary cycle position 22 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1588 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
423 / 424 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1037 / 1038 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
967 / 966 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
11 bits
Reversed
5,401
Recamán's sequence
a(4,329) = 1,045
Square (n²)
1,092,025
Cube (n³)
1,141,166,125
Divisor count
8
σ(n) — sum of divisors
1,440
φ(n) — Euler's totient
720
Sum of prime factors
35

Primality

Prime factorization: 5 × 11 × 19

Nearest primes: 1,039 (−6) · 1,049 (+4)

Divisors & multiples

All divisors (8)
1 · 5 · 11 · 19 · 55 · 95 · 209 · 1045
Aliquot sum (sum of proper divisors): 395
Factor pairs (a × b = 1,045)
1 × 1045
5 × 209
11 × 95
19 × 55
First multiples
1,045 · 2,090 (double) · 3,135 · 4,180 · 5,225 · 6,270 · 7,315 · 8,360 · 9,405 · 10,450

Sums & aliquot sequence

As consecutive integers: 522 + 523 207 + 208 + 209 + 210 + 211 100 + 101 + … + 109 90 + 91 + … + 100
Aliquot sequence: 1,045 395 85 23 1 0 — terminates at zero

Representations

In words
one thousand forty-five
Ordinal
1045th
Roman numeral
MXLV
Binary
10000010101
Octal
2025
Hexadecimal
0x415
Base64
BBU=
One's complement
64,490 (16-bit)
In other bases
ternary (3) 1102201
quaternary (4) 100111
quinary (5) 13140
senary (6) 4501
septenary (7) 3022
nonary (9) 1381
undecimal (11) 870
duodecimal (12) 731
tridecimal (13) 625
tetradecimal (14) 549
pentadecimal (15) 49a

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αμεʹ
Mayan (base 20)
𝋢·𝋬·𝋥
Chinese
一千零四十五
Chinese (financial)
壹仟零肆拾伍
In other modern scripts
Eastern Arabic ١٠٤٥ Devanagari १०४५ Bengali ১০৪৫ Tamil ௧௦௪௫ Thai ๑๐๔๕ Tibetan ༡༠༤༥ Khmer ១០៤៥ Lao ໑໐໔໕ Burmese ၁၀၄၅

Digit at this position in famous constants

π — Pi (π)
Digit 1,045 = 0
e — Euler's number (e)
Digit 1,045 = 3
φ — Golden ratio (φ)
Digit 1,045 = 5
√2 — Pythagoras's (√2)
Digit 1,045 = 3
ln 2 — Natural log of 2
Digit 1,045 = 0
γ — Euler-Mascheroni (γ)
Digit 1,045 = 8

Also seen as

Unicode codepoint
Е
Cyrillic Capital Letter Ie
U+0415
Uppercase letter (Lu)

UTF-8 encoding: D0 95 (2 bytes).

Hex color
#000415
RGB(0, 4, 21)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.21.

Address
0.0.4.21
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.21

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

Position in π

The digit sequence 1045 first appears in π at position 269 of the decimal expansion (the 269ordinal-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.