Number

1,026

1,026 is a composite number, even, a calendar year.

1,026 (one thousand twenty-six) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 3³ × 19. Its proper divisors sum to 1,374, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MXXVI and in binary, 10000000010.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,014 1,015 1,016 1,017 1,018 1,019 1,020 1,021 1,022 1,023 1,024 1,025 1,026 1,027 1,028 1,029 1,030 1,031 1,032 1,033 1,034 1,035 1,036 1,037 1,038

less more

Historical context — 1026 AD

Calendar year

Year 1026 (MXXVI) was a common year starting on Saturday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 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: 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

Nearest primes: 1,021 (−5) · 1,031 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 9 · 18 · 19 · 27 · 38 · 54 · 57 · 114 · 171 · 342 · 513 (half) · 1026

Aliquot sum (sum of proper divisors): 1,374

Factor pairs (a × b = 1,026)

1 × 1026

2 × 513

3 × 342

6 × 171

9 × 114

18 × 57

19 × 54

27 × 38

First multiples

1,026 · 2,052 (double) · 3,078 · 4,104 · 5,130 · 6,156 · 7,182 · 8,208 · 9,234 · 10,260

Sums & aliquot sequence

As consecutive integers: 341 + 342 + 343 255 + 256 + 257 + 258 110 + 111 + … + 118 80 + 81 + … + 91

Aliquot sequence: 1,026 → 1,374 → 1,386 → 2,358 → 2,790 → 4,698 → 6,192 → 11,540 → 12,736 → 12,664 → 11,096 → 11,104 → 10,820 → 11,944 → 10,466 → 5,236 → 6,860 — unresolved within range

Continued fraction of √n

√1,026 = [32; (32, 64)]

Period length 2 — the block in parentheses repeats forever.

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)
Scientific notation: 1.026 × 10³
As a duration: 1,026 s = 17 minutes, 6 seconds

In other bases

ternary (3) 1102000

quaternary (4) 100002

quinary (5) 13101

senary (6) 4430

septenary (7) 2664

nonary (9) 1360

undecimal (11) 853

duodecimal (12) 716

tridecimal (13) 60c

tetradecimal (14) 534

pentadecimal (15) 486

Palindromic in base 8

As an angle

1,026° = 2 × 360° + 306°

306° ≈ 5.341 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

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

In other modern scripts

Eastern Arabic ١٠٢٦ Devanagari १०२६ Bengali ১০২৬ Tamil ௧௦௨௬ Thai ๑๐๒๖ Tibetan ༡༠༢༦ Khmer ១០២៦ Lao ໑໐໒໖ Burmese ၁၀၂၆

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 decomposition

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.

Unicode codepoint

Cyrillic Capital Letter Dje

U+0402

Uppercase letter (Lu)

UTF-8 encoding: D0 82 (2 bytes).

Lookup U+0402 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000402

RGB(0, 4, 2)

IPv4 address

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.

Musical pitch

Heard as a frequency, 1,026 Hz is closest to:

Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, -34¢)
Scientific pitch (C4 = 256 Hz): C6 (1024 Hz, +3¢)
Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, -33¢)

Position in π

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.

Look up 1026 on Pi Search ↗