1,036
1,036 is a composite number, even, a calendar year.
1,036 (one thousand thirty-six) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 37. Its proper divisors sum to 1,092, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MXXXVI and in binary, 10000001100.
Interestingness
Historical context — 1036 AD
Calendar year
Year 1036 (MXXXVI) was a leap year starting on Thursday 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
-
Friday
January 1, 1036
- Ended on
-
Saturday
December 31, 1036
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
1030s
1030–1039
- Century
-
11th century
1001–1100
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
990
990 years before 2026.
In other calendars
- Hebrew
-
4796 / 4797 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
427 / 428 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
-
1579 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
414 / 415 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1028 / 1029 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
958 / 957 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 2 × 7 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,036 = [32; (5, 2, 1, 6, 2, 6, 1, 2, 5, 64)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one thousand thirty-six
- Ordinal
- 1036th
- Roman numeral
- MXXXVI
- Binary
- 10000001100
- Octal
- 2014
- Hexadecimal
- 0x40C
- Base64
- BAw=
- One's complement
- 64,499 (16-bit)
- Scientific notation
- 1.036 × 10³
- As a duration
- 1,036 s = 17 minutes, 16 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵αλϛʹ
- Mayan (base 20)
- 𝋢·𝋫·𝋰
- Chinese
- 一千零三十六
- Chinese (financial)
- 壹仟零參拾陸
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,036 = 1
- e — Euler's number (e)
- Digit 1,036 = 7
- φ — Golden ratio (φ)
- Digit 1,036 = 5
- √2 — Pythagoras's (√2)
- Digit 1,036 = 4
- ln 2 — Natural log of 2
- Digit 1,036 = 3
- γ — Euler-Mascheroni (γ)
- Digit 1,036 = 4
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1036, here are decompositions:
- 3 + 1033 = 1036
- 5 + 1031 = 1036
- 17 + 1019 = 1036
- 23 + 1013 = 1036
- 53 + 983 = 1036
- 59 + 977 = 1036
- 83 + 953 = 1036
- 89 + 947 = 1036
Showing the first eight; more decompositions exist.
UTF-8 encoding: D0 8C (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.12.
- Address
- 0.0.4.12
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.4.12
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,036 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, -17¢)
- Scientific pitch (C4 = 256 Hz): C6 (1024 Hz, +20¢)
- Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, -16¢)
The digit sequence 1036 first appears in π at position 6,649 of the decimal expansion (the 6,649ordinal-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.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.