1,236
1,236 is a composite number, even, a calendar year.
1,236 (one thousand two hundred thirty-six) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 103. Its proper divisors sum to 1,676, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCXXXVI and in binary, 10011010100.
Interestingness
Historical context — 1236 AD
Calendar year
Year 1236 (MCCXXXVI) was a leap year starting on Tuesday of the Julian calendar.
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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
-
Tuesday
January 1, 1236
- Ended on
-
Wednesday
December 31, 1236
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
1230s
1230–1239
- Century
-
13th century
1201–1300
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
790
790 years before 2026.
In other calendars
- Hebrew
-
4996 / 4997 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
633 / 634 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Fire zodiac:Monkey
Sexagenary cycle position 33 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1779 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
614 / 615 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1228 / 1229 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1158 / 1157 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
- 6,321
- Recamán's sequence
- a(8,516) = 1,236
- Square (n²)
- 1,527,696
- Cube (n³)
- 1,888,232,256
- Divisor count
- 12
- σ(n) — sum of divisors
- 2,912
- φ(n) — Euler's totient
- 408
- Sum of prime factors
- 110
Primality
Prime factorization: 2 2 × 3 × 103
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,236 = [35; (6, 2, 1, 1, 1, 4, 1, 3, 1, 1, 2, 1, 22, 1, 2, 1, 1, 3, 1, 4, 1, 1, 1, 2, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- one thousand two hundred thirty-six
- Ordinal
- 1236th
- Roman numeral
- MCCXXXVI
- Binary
- 10011010100
- Octal
- 2324
- Hexadecimal
- 0x4D4
- Base64
- BNQ=
- One's complement
- 64,299 (16-bit)
- Scientific notation
- 1.236 × 10³
- As a duration
- 1,236 s = 20 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ασλϛʹ
- Mayan (base 20)
- 𝋣·𝋡·𝋰
- Chinese
- 一千二百三十六
- Chinese (financial)
- 壹仟貳佰參拾陸
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,236 = 9
- e — Euler's number (e)
- Digit 1,236 = 2
- φ — Golden ratio (φ)
- Digit 1,236 = 6
- √2 — Pythagoras's (√2)
- Digit 1,236 = 0
- ln 2 — Natural log of 2
- Digit 1,236 = 8
- γ — Euler-Mascheroni (γ)
- Digit 1,236 = 2
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1236, here are decompositions:
- 5 + 1231 = 1236
- 7 + 1229 = 1236
- 13 + 1223 = 1236
- 19 + 1217 = 1236
- 23 + 1213 = 1236
- 43 + 1193 = 1236
- 73 + 1163 = 1236
- 83 + 1153 = 1236
Showing the first eight; more decompositions exist.
UTF-8 encoding: D3 94 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.212.
- Address
- 0.0.4.212
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.4.212
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,236 Hz is closest to:
- Concert pitch (A4 = 440 Hz): D♯6 (1244.5 Hz, -12¢)
- Scientific pitch (C4 = 256 Hz): D♯6 (1217.7 Hz, +26¢)
- Baroque pitch (A4 = 415 Hz): E6 (1243.6 Hz, -11¢)
The digit sequence 1236 first appears in π at position 10,972 of the decimal expansion (the 10,972ordinal-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.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.