1,026
1,026 is a composite number, even, a calendar year.
Historical context — 1026 AD
Calendar year
Year 1026 (MXXVI) was a common year starting on Saturday of the Julian calendar.
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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
-
Sunday
January 1, 1026
- Ended on
-
Sunday
December 31, 1026
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
1020s
1020–1029
- Century
-
11th century
1001–1100
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
1,000
1000 years before 2026.
In other calendars
- Hebrew
-
4786 / 4787 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
416 / 417 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
-
1569 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
404 / 405 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1018 / 1019 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
948 / 947 Saka
Indian national calendar; year starts in March.
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 11 bits
- Reversed
- 6,201
- Recamán's sequence
- a(4,367) = 1,026
- Square (n²)
- 1,052,676
- Cube (n³)
- 1,080,045,576
- Divisor count
- 16
- σ(n) — sum of divisors
- 2,400
- φ(n) — Euler's totient
- 324
- Sum of prime factors
- 30
Primality
Prime factorization: 2 × 3 3 × 19
Divisors & multiples
Sums & aliquot sequence
Representations
- In words
- one thousand twenty-six
- Ordinal
- 1026th
- Roman numeral
- MXXVI
- Binary
- 10000000010
- Octal
- 2002
- Hexadecimal
- 0x402
- Base64
- BAI=
- One's complement
- 64,509 (16-bit)
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ακϛʹ
- Mayan (base 20)
- 𝋢·𝋫·𝋦
- Chinese
- 一千零二十六
- Chinese (financial)
- 壹仟零貳拾陸
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,026 = 6
- e — Euler's number (e)
- Digit 1,026 = 7
- φ — Golden ratio (φ)
- Digit 1,026 = 6
- √2 — Pythagoras's (√2)
- Digit 1,026 = 9
- ln 2 — Natural log of 2
- Digit 1,026 = 6
- γ — Euler-Mascheroni (γ)
- Digit 1,026 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1026, here are decompositions:
- 5 + 1021 = 1026
- 7 + 1019 = 1026
- 13 + 1013 = 1026
- 17 + 1009 = 1026
- 29 + 997 = 1026
- 43 + 983 = 1026
- 59 + 967 = 1026
- 73 + 953 = 1026
Showing the first eight; more decompositions exist.
UTF-8 encoding: D0 82 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.2.
- Address
- 0.0.4.2
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.4.2
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 1026 first appears in π at position 14,678 of the decimal expansion (the 14,678ordinal-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.