Number

1,326

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

1,326 (one thousand three hundred twenty-six) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 13 × 17. Its proper divisors sum to 1,698, more than the number itself, making it an abundant number. It is the 51st triangular number. Written other ways, in Roman numerals it is MCCCXXVI and in binary, 10100101110.

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

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,314 1,315 1,316 1,317 1,318 1,319 1,320 1,321 1,322 1,323 1,324 1,325 1,326 1,327 1,328 1,329 1,330 1,331 1,332 1,333 1,334 1,335 1,336 1,337 1,338

less more

Historical context — 1326 AD

Calendar year

Year 1326 (MCCCXXVI) was a common year starting on Wednesday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

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

Continued fraction of √n

√1,326 = [36; (2, 2, 2, 2, 2, 72)]

Period length 6 — the block in parentheses repeats forever.

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)
Scientific notation: 1.326 × 10³
As a duration: 1,326 s = 22 minutes, 6 seconds

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

As an angle

1,326° = 3 × 360° + 246°

246° ≈ 4.294 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

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

Cyrillic Capital Letter El With Descender

U+052E

Uppercase letter (Lu)

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

Lookup U+052E on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,326 Hz is closest to:

Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, +10¢)
Scientific pitch (C4 = 256 Hz): E6 (1290.2 Hz, +47¢ — about midway to F6)
Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, +11¢)

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.

Look up 1326 on Pi Search ↗