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Number

1,146

1,146 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree Year

Historical context — 1146 AD

Calendar year

Year 1146 (MCXLVI) 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
Tuesday
January 1, 1146
Ended on
Tuesday
December 31, 1146
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1140s
1140–1149
Century
12th century
1101–1200
Millennium
2nd millennium
1001–2000
Years ago
880
880 years before 2026.

In other calendars

Hebrew
4906 / 4907 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
540 / 541 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Tiger
Sexagenary cycle position 3 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1689 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
524 / 525 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1138 / 1139 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1068 / 1067 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
12
Digit product
24
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
6,411
Recamán's sequence
a(1,880) = 1,146
Square (n²)
1,313,316
Cube (n³)
1,505,060,136
Divisor count
8
σ(n) — sum of divisors
2,304
φ(n) — Euler's totient
380
Sum of prime factors
196

Primality

Prime factorization: 2 × 3 × 191

Nearest primes: 1,129 (−17) · 1,151 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 191 · 382 · 573 (half) · 1146
Aliquot sum (sum of proper divisors): 1,158
Factor pairs (a × b = 1,146)
1 × 1146
2 × 573
3 × 382
6 × 191
First multiples
1,146 · 2,292 (double) · 3,438 · 4,584 · 5,730 · 6,876 · 8,022 · 9,168 · 10,314 · 11,460

Sums & aliquot sequence

As consecutive integers: 381 + 382 + 383 285 + 286 + 287 + 288 90 + 91 + … + 101
Aliquot sequence: 1,146 1,158 1,170 2,106 2,976 5,088 8,520 17,400 38,400 88,452 196,924 228,004 255,836 255,892 339,948 708,372 1,392,748 — unresolved within range

Representations

In words
one thousand one hundred forty-six
Ordinal
1146th
Roman numeral
MCXLVI
Binary
10001111010
Octal
2172
Hexadecimal
0x47A
Base64
BHo=
One's complement
64,389 (16-bit)
In other bases
ternary (3) 1120110
quaternary (4) 101322
quinary (5) 14041
senary (6) 5150
septenary (7) 3225
nonary (9) 1513
undecimal (11) 952
duodecimal (12) 7b6
tridecimal (13) 6a2
tetradecimal (14) 5bc
pentadecimal (15) 516

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αρμϛʹ
Mayan (base 20)
𝋢·𝋱·𝋦
Chinese
一千一百四十六
Chinese (financial)
壹仟壹佰肆拾陸
In other modern scripts
Eastern Arabic ١١٤٦ Devanagari ११४६ Bengali ১১৪৬ Tamil ௧௧௪௬ Thai ๑๑๔๖ Tibetan ༡༡༤༦ Khmer ១១៤៦ Lao ໑໑໔໖ Burmese ၁၁၄၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,146 = 7
e — Euler's number (e)
Digit 1,146 = 9
φ — Golden ratio (φ)
Digit 1,146 = 6
√2 — Pythagoras's (√2)
Digit 1,146 = 1
ln 2 — Natural log of 2
Digit 1,146 = 9
γ — Euler-Mascheroni (γ)
Digit 1,146 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1146, here are decompositions:

  • 17 + 1129 = 1146
  • 23 + 1123 = 1146
  • 29 + 1117 = 1146
  • 37 + 1109 = 1146
  • 43 + 1103 = 1146
  • 53 + 1093 = 1146
  • 59 + 1087 = 1146
  • 83 + 1063 = 1146

Showing the first eight; more decompositions exist.

Unicode codepoint
Ѻ
Cyrillic Capital Letter Round Omega
U+047A
Uppercase letter (Lu)

UTF-8 encoding: D1 BA (2 bytes).

Hex color
#00047A
RGB(0, 4, 122)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.122.

Address
0.0.4.122
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.122

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

Position in π

The digit sequence 1146 first appears in π at position 4,678 of the decimal expansion (the 4,678ordinal-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.