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Number

1,114

1,114 is a composite number, even, a calendar year.

Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 1114 AD

Calendar year

Year 1114 (MCXIV) was a common year starting on Thursday 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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 1114
Ended on
Thursday
December 31, 1114
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1110s
1110–1119
Century
12th century
1101–1200
Millennium
2nd millennium
1001–2000
Years ago
912
912 years before 2026.

In other calendars

Hebrew
4874 / 4875 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
507 / 508 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
1657 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
492 / 493 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1106 / 1107 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1036 / 1035 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
7
Digit product
4
Digital root
7
Palindrome
No
Bit width
11 bits
Reversed
4,111
Recamán's sequence
a(1,944) = 1,114
Square (n²)
1,240,996
Cube (n³)
1,382,469,544
Divisor count
4
σ(n) — sum of divisors
1,674
φ(n) — Euler's totient
556
Sum of prime factors
559

Primality

Prime factorization: 2 × 557

Nearest primes: 1,109 (−5) · 1,117 (+3)

Divisors & multiples

All divisors (4)
1 · 2 · 557 (half) · 1114
Aliquot sum (sum of proper divisors): 560
Factor pairs (a × b = 1,114)
1 × 1114
2 × 557
First multiples
1,114 · 2,228 (double) · 3,342 · 4,456 · 5,570 · 6,684 · 7,798 · 8,912 · 10,026 · 11,140

Sums & aliquot sequence

As a sum of two squares: 5² + 33²
As consecutive integers: 277 + 278 + 279 + 280
Aliquot sequence: 1,114 560 928 962 634 320 442 314 160 218 112 136 134 70 74 40 50 — unresolved within range

Representations

In words
one thousand one hundred fourteen
Ordinal
1114th
Roman numeral
MCXIV
Binary
10001011010
Octal
2132
Hexadecimal
0x45A
Base64
BFo=
One's complement
64,421 (16-bit)
In other bases
ternary (3) 1112021
quaternary (4) 101122
quinary (5) 13424
senary (6) 5054
septenary (7) 3151
nonary (9) 1467
undecimal (11) 923
duodecimal (12) 78a
tridecimal (13) 679
tetradecimal (14) 598
pentadecimal (15) 4e4

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αριδʹ
Mayan (base 20)
𝋢·𝋯·𝋮
Chinese
一千一百一十四
Chinese (financial)
壹仟壹佰壹拾肆
In other modern scripts
Eastern Arabic ١١١٤ Devanagari १११४ Bengali ১১১৪ Tamil ௧௧௧௪ Thai ๑๑๑๔ Tibetan ༡༡༡༤ Khmer ១១១៤ Lao ໑໑໑໔ Burmese ၁၁၁၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,114 = 4
e — Euler's number (e)
Digit 1,114 = 0
φ — Golden ratio (φ)
Digit 1,114 = 9
√2 — Pythagoras's (√2)
Digit 1,114 = 7
ln 2 — Natural log of 2
Digit 1,114 = 0
γ — Euler-Mascheroni (γ)
Digit 1,114 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1114, here are decompositions:

  • 5 + 1109 = 1114
  • 11 + 1103 = 1114
  • 17 + 1097 = 1114
  • 23 + 1091 = 1114
  • 53 + 1061 = 1114
  • 83 + 1031 = 1114
  • 101 + 1013 = 1114
  • 131 + 983 = 1114

Showing the first eight; more decompositions exist.

Unicode codepoint
њ
Cyrillic Small Letter Nje
U+045A
Lowercase letter (Ll)

UTF-8 encoding: D1 9A (2 bytes).

Hex color
#00045A
RGB(0, 4, 90)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.90.

Address
0.0.4.90
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.90

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

Position in π

The digit sequence 1114 first appears in π at position 23,208 of the decimal expansion (the 23,208ordinal-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.