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Number

1,226

1,226 is a composite number, even, a calendar year.

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

Historical context — 1226 AD

Calendar year

Year 1226 (MCCXXVI) was a common year starting on Thursday 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
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, 1226
Ended on
Thursday
December 31, 1226
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1220s
1220–1229
Century
13th century
1201–1300
Millennium
2nd millennium
1001–2000
Years ago
800
800 years before 2026.

In other calendars

Hebrew
4986 / 4987 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
622 / 624 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Dog
Sexagenary cycle position 23 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1769 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
604 / 605 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1218 / 1219 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1148 / 1147 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
11
Digit product
24
Digital root
2
Palindrome
No
Bit width
11 bits
Reversed
6,221
Recamán's sequence
a(8,536) = 1,226
Square (n²)
1,503,076
Cube (n³)
1,842,771,176
Divisor count
4
σ(n) — sum of divisors
1,842
φ(n) — Euler's totient
612
Sum of prime factors
615

Primality

Prime factorization: 2 × 613

Nearest primes: 1,223 (−3) · 1,229 (+3)

Divisors & multiples

All divisors (4)
1 · 2 · 613 (half) · 1226
Aliquot sum (sum of proper divisors): 616
Factor pairs (a × b = 1,226)
1 × 1226
2 × 613
First multiples
1,226 · 2,452 (double) · 3,678 · 4,904 · 6,130 · 7,356 · 8,582 · 9,808 · 11,034 · 12,260

Sums & aliquot sequence

As a sum of two squares: 1² + 35²
As consecutive integers: 305 + 306 + 307 + 308
Aliquot sequence: 1,226 616 824 736 776 694 350 394 200 265 59 1 0 — terminates at zero

Representations

In words
one thousand two hundred twenty-six
Ordinal
1226th
Roman numeral
MCCXXVI
Binary
10011001010
Octal
2312
Hexadecimal
0x4CA
Base64
BMo=
One's complement
64,309 (16-bit)
In other bases
ternary (3) 1200102
quaternary (4) 103022
quinary (5) 14401
senary (6) 5402
septenary (7) 3401
nonary (9) 1612
undecimal (11) a15
duodecimal (12) 862
tridecimal (13) 734
tetradecimal (14) 638
pentadecimal (15) 56b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ασκϛʹ
Mayan (base 20)
𝋣·𝋡·𝋦
Chinese
一千二百二十六
Chinese (financial)
壹仟貳佰貳拾陸
In other modern scripts
Eastern Arabic ١٢٢٦ Devanagari १२२६ Bengali ১২২৬ Tamil ௧௨௨௬ Thai ๑๒๒๖ Tibetan ༡༢༢༦ Khmer ១២២៦ Lao ໑໒໒໖ Burmese ၁၂၂၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,226 = 1
e — Euler's number (e)
Digit 1,226 = 1
φ — Golden ratio (φ)
Digit 1,226 = 0
√2 — Pythagoras's (√2)
Digit 1,226 = 4
ln 2 — Natural log of 2
Digit 1,226 = 0
γ — Euler-Mascheroni (γ)
Digit 1,226 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1226, here are decompositions:

  • 3 + 1223 = 1226
  • 13 + 1213 = 1226
  • 73 + 1153 = 1226
  • 97 + 1129 = 1226
  • 103 + 1123 = 1226
  • 109 + 1117 = 1226
  • 139 + 1087 = 1226
  • 157 + 1069 = 1226

Showing the first eight; more decompositions exist.

Unicode codepoint
ӊ
Cyrillic Small Letter En With Tail
U+04CA
Lowercase letter (Ll)

UTF-8 encoding: D3 8A (2 bytes).

Hex color
#0004CA
RGB(0, 4, 202)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.202.

Address
0.0.4.202
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.202

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

Position in π

The digit sequence 1226 first appears in π at position 963 of the decimal expansion (the 963ordinal-suffix:rd 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.