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Number

1,036

1,036 is a composite number, even, a calendar year.

Abundant Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 1036 AD

Calendar year

Year 1036 (MXXXVI) was a leap 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
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

Parity
Even
Digit count
4
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
11 bits
Reversed
6,301
Recamán's sequence
a(4,347) = 1,036
Square (n²)
1,073,296
Cube (n³)
1,111,934,656
Divisor count
12
σ(n) — sum of divisors
2,128
φ(n) — Euler's totient
432
Sum of prime factors
48

Primality

Prime factorization: 2 2 × 7 × 37

Nearest primes: 1,033 (−3) · 1,039 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 37 · 74 · 148 · 259 · 518 (half) · 1036
Aliquot sum (sum of proper divisors): 1,092
Factor pairs (a × b = 1,036)
1 × 1036
2 × 518
4 × 259
7 × 148
14 × 74
28 × 37
First multiples
1,036 · 2,072 (double) · 3,108 · 4,144 · 5,180 · 6,216 · 7,252 · 8,288 · 9,324 · 10,360

Sums & aliquot sequence

As consecutive integers: 145 + 146 + … + 151 126 + 127 + … + 133 10 + 11 + … + 46
Aliquot sequence: 1,036 1,092 2,044 2,100 4,844 4,900 7,469 1,939 285 195 141 51 21 11 1 0 — terminates at zero

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)
In other bases
ternary (3) 1102101
quaternary (4) 100030
quinary (5) 13121
senary (6) 4444
septenary (7) 3010
nonary (9) 1371
undecimal (11) 862
duodecimal (12) 724
tridecimal (13) 619
tetradecimal (14) 540
pentadecimal (15) 491

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
In other modern scripts
Eastern Arabic ١٠٣٦ Devanagari १०३६ Bengali ১০৩৬ Tamil ௧௦௩௬ Thai ๑๐๓๖ Tibetan ༡༠༣༦ Khmer ១០៣៦ Lao ໑໐໓໖ Burmese ၁၀၃၆

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 decomposition

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.

Unicode codepoint
Ќ
Cyrillic Capital Letter Kje
U+040C
Uppercase letter (Lu)

UTF-8 encoding: D0 8C (2 bytes).

Hex color
#00040C
RGB(0, 4, 12)
IPv4 address

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.

Position in π

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.