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Number

1,029

1,029 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Year

Historical context — 1029 AD

Calendar year

Year 1029 (MXXIX) was a common year starting on Wednesday 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
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 1029
Ended on
Thursday
December 31, 1029
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1020s
1020–1029
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
997
997 years before 2026.

In other calendars

Hebrew
4789 / 4790 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
419 / 420 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Snake
Sexagenary cycle position 6 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1572 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
407 / 408 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1021 / 1022 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
951 / 950 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
9,201
Recamán's sequence
a(4,361) = 1,029
Square (n²)
1,058,841
Cube (n³)
1,089,547,389
Divisor count
8
σ(n) — sum of divisors
1,600
φ(n) — Euler's totient
588
Sum of prime factors
24

Primality

Prime factorization: 3 × 7 3

Nearest primes: 1,021 (−8) · 1,031 (+2)

Divisors & multiples

All divisors (8)
1 · 3 · 7 · 21 · 49 · 147 · 343 · 1029
Aliquot sum (sum of proper divisors): 571
Factor pairs (a × b = 1,029)
1 × 1029
3 × 343
7 × 147
21 × 49
First multiples
1,029 · 2,058 (double) · 3,087 · 4,116 · 5,145 · 6,174 · 7,203 · 8,232 · 9,261 · 10,290

Sums & aliquot sequence

As consecutive integers: 514 + 515 342 + 343 + 344 169 + 170 + 171 + 172 + 173 + 174 144 + 145 + … + 150
Aliquot sequence: 1,029 571 1 0 — terminates at zero

Representations

In words
one thousand twenty-nine
Ordinal
1029th
Roman numeral
MXXIX
Binary
10000000101
Octal
2005
Hexadecimal
0x405
Base64
BAU=
One's complement
64,506 (16-bit)
In other bases
ternary (3) 1102010
quaternary (4) 100011
quinary (5) 13104
senary (6) 4433
septenary (7) 3000
nonary (9) 1363
undecimal (11) 856
duodecimal (12) 719
tridecimal (13) 612
tetradecimal (14) 537
pentadecimal (15) 489

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ακθʹ
Mayan (base 20)
𝋢·𝋫·𝋩
Chinese
一千零二十九
Chinese (financial)
壹仟零貳拾玖
In other modern scripts
Eastern Arabic ١٠٢٩ Devanagari १०२९ Bengali ১০২৯ Tamil ௧௦௨௯ Thai ๑๐๒๙ Tibetan ༡༠༢༩ Khmer ១០២៩ Lao ໑໐໒໙ Burmese ၁၀၂၉

Digit at this position in famous constants

π — Pi (π)
Digit 1,029 = 3
e — Euler's number (e)
Digit 1,029 = 2
φ — Golden ratio (φ)
Digit 1,029 = 9
√2 — Pythagoras's (√2)
Digit 1,029 = 6
ln 2 — Natural log of 2
Digit 1,029 = 9
γ — Euler-Mascheroni (γ)
Digit 1,029 = 4

Also seen as

Unicode codepoint
Ѕ
Cyrillic Capital Letter Dze
U+0405
Uppercase letter (Lu)

UTF-8 encoding: D0 85 (2 bytes).

Hex color
#000405
RGB(0, 4, 5)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.5.

Address
0.0.4.5
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.5

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 1029 first appears in π at position 8,196 of the decimal expansion (the 8,196ordinal-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.