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Number

1,326

1,326 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Hexagonal Practical Number Recamán's Sequence Semiperfect Number Squarefree Triangular Year

Historical context — 1326 AD

Calendar year

Year 1326 (MCCCXXVI) was a common year starting on Wednesday 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, 1326
Ended on
Tuesday
December 31, 1326
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1320s
1320–1329
Century
14th century
1301–1400
Millennium
2nd millennium
1001–2000
Years ago
700
700 years before 2026.

In other calendars

Hebrew
5086 / 5087 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
726 / 727 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
1869 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
704 / 705 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1318 / 1319 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1248 / 1247 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
12
Digit product
36
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
6,231
Recamán's sequence
a(16,483) = 1,326
Square (n²)
1,758,276
Cube (n³)
2,331,473,976
Divisor count
16
σ(n) — sum of divisors
3,024
φ(n) — Euler's totient
384
Sum of prime factors
35

Primality

Prime factorization: 2 × 3 × 13 × 17

Nearest primes: 1,321 (−5) · 1,327 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 13 · 17 · 26 · 34 · 39 · 51 · 78 · 102 · 221 · 442 · 663 (half) · 1326
Aliquot sum (sum of proper divisors): 1,698
Factor pairs (a × b = 1,326)
1 × 1326
2 × 663
3 × 442
6 × 221
13 × 102
17 × 78
26 × 51
34 × 39
First multiples
1,326 · 2,652 (double) · 3,978 · 5,304 · 6,630 · 7,956 · 9,282 · 10,608 · 11,934 · 13,260

Sums & aliquot sequence

As consecutive integers: 441 + 442 + 443 330 + 331 + 332 + 333 105 + 106 + … + 116 96 + 97 + … + 108
Aliquot sequence: 1,326 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 73,600 116,120 — unresolved within range

Representations

In words
one thousand three hundred twenty-six
Ordinal
1326th
Roman numeral
MCCCXXVI
Binary
10100101110
Octal
2456
Hexadecimal
0x52E
Base64
BS4=
One's complement
64,209 (16-bit)
In other bases
ternary (3) 1211010
quaternary (4) 110232
quinary (5) 20301
senary (6) 10050
septenary (7) 3603
nonary (9) 1733
undecimal (11) aa6
duodecimal (12) 926
tridecimal (13) 7b0
tetradecimal (14) 6aa
pentadecimal (15) 5d6

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ατκϛʹ
Mayan (base 20)
𝋣·𝋦·𝋦
Chinese
一千三百二十六
Chinese (financial)
壹仟參佰貳拾陸
In other modern scripts
Eastern Arabic ١٣٢٦ Devanagari १३२६ Bengali ১৩২৬ Tamil ௧௩௨௬ Thai ๑๓๒๖ Tibetan ༡༣༢༦ Khmer ១៣២៦ Lao ໑໓໒໖ Burmese ၁၃၂၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,326 = 6
e — Euler's number (e)
Digit 1,326 = 2
φ — Golden ratio (φ)
Digit 1,326 = 1
√2 — Pythagoras's (√2)
Digit 1,326 = 0
ln 2 — Natural log of 2
Digit 1,326 = 0
γ — Euler-Mascheroni (γ)
Digit 1,326 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1326, here are decompositions:

  • 5 + 1321 = 1326
  • 7 + 1319 = 1326
  • 19 + 1307 = 1326
  • 23 + 1303 = 1326
  • 29 + 1297 = 1326
  • 37 + 1289 = 1326
  • 43 + 1283 = 1326
  • 47 + 1279 = 1326

Showing the first eight; more decompositions exist.

Unicode codepoint
Ԯ
Cyrillic Capital Letter El With Descender
U+052E
Uppercase letter (Lu)

UTF-8 encoding: D4 AE (2 bytes).

Hex color
#00052E
RGB(0, 5, 46)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.46.

Address
0.0.5.46
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.46

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001326
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 1326 first appears in π at position 4,992 of the decimal expansion (the 4,992ordinal-suffix:nd 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.