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Number

1,009

1,009 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Emirp Flippable Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Year

Historical context — 1009 AD

Calendar year

Year 1009 (MIX) 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, 1009
Ended on
Sunday
December 31, 1009
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1000s
1000–1009
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
1,017
1017 years before 2026.

In other calendars

Hebrew
4769 / 4770 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
399 / 400 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Rooster
Sexagenary cycle position 46 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1552 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
387 / 388 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1001 / 1002 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
931 / 930 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
10 bits
Reversed
9,001
Flips to (rotate 180°)
6,001
Recamán's sequence
a(4,401) = 1,009
Square (n²)
1,018,081
Cube (n³)
1,027,243,729
Divisor count
2
σ(n) — sum of divisors
1,010
φ(n) — Euler's totient
1,008

Primality

1,009 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1009
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,009)
1 × 1009
First multiples
1,009 · 2,018 (double) · 3,027 · 4,036 · 5,045 · 6,054 · 7,063 · 8,072 · 9,081 · 10,090

Sums & aliquot sequence

As a sum of two squares: 15² + 28²
As consecutive integers: 504 + 505

Representations

In words
one thousand nine
Ordinal
1009th
Roman numeral
MIX
Binary
1111110001
Octal
1761
Hexadecimal
0x3F1
Base64
A/E=
One's complement
64,526 (16-bit)
In other bases
ternary (3) 1101101
quaternary (4) 33301
quinary (5) 13014
senary (6) 4401
septenary (7) 2641
nonary (9) 1341
undecimal (11) 838
duodecimal (12) 701
tridecimal (13) 5c8
tetradecimal (14) 521
pentadecimal (15) 474

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αθʹ
Mayan (base 20)
𝋢·𝋪·𝋩
Chinese
一千零九
Chinese (financial)
壹仟零玖
In other modern scripts
Eastern Arabic ١٠٠٩ Devanagari १००९ Bengali ১০০৯ Tamil ௧௦௦௯ Thai ๑๐๐๙ Tibetan ༡༠༠༩ Khmer ១០០៩ Lao ໑໐໐໙ Burmese ၁၀၀၉

Digit at this position in famous constants

π — Pi (π)
Digit 1,009 = 7
e — Euler's number (e)
Digit 1,009 = 7
φ — Golden ratio (φ)
Digit 1,009 = 9
√2 — Pythagoras's (√2)
Digit 1,009 = 3
ln 2 — Natural log of 2
Digit 1,009 = 4
γ — Euler-Mascheroni (γ)
Digit 1,009 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 997 (gap of 12)
  • Next prime: 1,013 (gap of 4)

Pair status: cousin with 1013.

Unicode codepoint
ϱ
Greek Rho Symbol
U+03F1
Lowercase letter (Ll)

UTF-8 encoding: CF B1 (2 bytes).

Hex color
#0003F1
RGB(0, 3, 241)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.241.

Address
0.0.3.241
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.241

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001009
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 1009 first appears in π at position 1,816 of the decimal expansion (the 1,816ordinal-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.