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Number

1,156

1,156 is a composite number, even, a calendar year.

Deficient Number Odious Number Perfect Square Pernicious Number Powerful Number Recamán's Sequence Year

Historical context — 1156 AD

Calendar year

Year 1156 (MCLVI) 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
Sunday
January 1, 1156
Ended on
Monday
December 31, 1156
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1150s
1150–1159
Century
12th century
1101–1200
Millennium
2nd millennium
1001–2000
Years ago
870
870 years before 2026.

In other calendars

Hebrew
4916 / 4917 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
550 / 551 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Rat
Sexagenary cycle position 13 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1699 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
534 / 535 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1148 / 1149 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1078 / 1077 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
13
Digit product
30
Digital root
4
Palindrome
No
Bit width
11 bits
Reversed
6,511
Recamán's sequence
a(1,860) = 1,156
Square (n²)
1,336,336
Cube (n³)
1,544,804,416
Square root (√n)
34
Divisor count
9
σ(n) — sum of divisors
2,149
φ(n) — Euler's totient
544
Sum of prime factors
38

Primality

Prime factorization: 2 2 × 17 2

Nearest primes: 1,153 (−3) · 1,163 (+7)

Divisors & multiples

All divisors (9)
1 · 2 · 4 · 17 · 34 · 68 · 289 · 578 (half) · 1156
Aliquot sum (sum of proper divisors): 993
Factor pairs (a × b = 1,156)
1 × 1156
2 × 578
4 × 289
17 × 68
34 × 34
First multiples
1,156 · 2,312 (double) · 3,468 · 4,624 · 5,780 · 6,936 · 8,092 · 9,248 · 10,404 · 11,560

Sums & aliquot sequence

As a sum of two squares: 0² + 34² = 16² + 30²
As consecutive integers: 141 + 142 + … + 148 60 + 61 + … + 76
Aliquot sequence: 1,156 993 335 73 1 0 — terminates at zero

Representations

In words
one thousand one hundred fifty-six
Ordinal
1156th
Roman numeral
MCLVI
Binary
10010000100
Octal
2204
Hexadecimal
0x484
Base64
BIQ=
One's complement
64,379 (16-bit)
In other bases
ternary (3) 1120211
quaternary (4) 102010
quinary (5) 14111
senary (6) 5204
septenary (7) 3241
nonary (9) 1524
undecimal (11) 961
duodecimal (12) 804
tridecimal (13) 6ac
tetradecimal (14) 5c8
pentadecimal (15) 521

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αρνϛʹ
Mayan (base 20)
𝋢·𝋱·𝋰
Chinese
一千一百五十六
Chinese (financial)
壹仟壹佰伍拾陸
In other modern scripts
Eastern Arabic ١١٥٦ Devanagari ११५६ Bengali ১১৫৬ Tamil ௧௧௫௬ Thai ๑๑๕๖ Tibetan ༡༡༥༦ Khmer ១១៥៦ Lao ໑໑໕໖ Burmese ၁၁၅၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,156 = 4
e — Euler's number (e)
Digit 1,156 = 1
φ — Golden ratio (φ)
Digit 1,156 = 0
√2 — Pythagoras's (√2)
Digit 1,156 = 6
ln 2 — Natural log of 2
Digit 1,156 = 8
γ — Euler-Mascheroni (γ)
Digit 1,156 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1156, here are decompositions:

  • 3 + 1153 = 1156
  • 5 + 1151 = 1156
  • 47 + 1109 = 1156
  • 53 + 1103 = 1156
  • 59 + 1097 = 1156
  • 107 + 1049 = 1156
  • 137 + 1019 = 1156
  • 173 + 983 = 1156

Showing the first eight; more decompositions exist.

Unicode codepoint
҄
Combining Cyrillic Palatalization
U+0484
Non-spacing mark (Mn)

UTF-8 encoding: D2 84 (2 bytes).

Hex color
#000484
RGB(0, 4, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.132.

Address
0.0.4.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.132

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

Position in π

The digit sequence 1156 first appears in π at position 6,926 of the decimal expansion (the 6,926ordinal-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.