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Number

309

309 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 309 AD

Calendar year

Year 309 (CCCIX) was a common year starting on Saturday of the Julian calendar.

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Historical context — 309 BC

Calendar year

Year 309 BC was a year of the pre-Julian Roman 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
Friday
January 1, 309
Ended on
Friday
December 31, 309
Friday the 13ths
1
One Friday the 13th this year.
Decade
300s
300–309
Century
4th century
301–400
Millennium
1st millennium
1–1000
Years ago
1,717
1717 years before 2026.

In other calendars

Hebrew
4069 / 4070 AM
Rosh Hashanah falls in September/October.
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
852 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
301 / 302 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
231 / 230 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
9 bits
Reversed
903
Recamán's sequence
a(630) = 309
Square (n²)
95,481
Cube (n³)
29,503,629
Divisor count
4
σ(n) — sum of divisors
416
φ(n) — Euler's totient
204
Sum of prime factors
106

Primality

Prime factorization: 3 × 103

Nearest primes: 307 (−2) · 311 (+2)

Divisors & multiples

All divisors (4)
1 · 3 · 103 · 309
Aliquot sum (sum of proper divisors): 107
Factor pairs (a × b = 309)
1 × 309
3 × 103
First multiples
309 · 618 (double) · 927 · 1,236 · 1,545 · 1,854 · 2,163 · 2,472 · 2,781 · 3,090

Sums & aliquot sequence

As consecutive integers: 154 + 155 102 + 103 + 104 49 + 50 + 51 + 52 + 53 + 54
Aliquot sequence: 309 107 1 0 — terminates at zero

Representations

In words
three hundred nine
Ordinal
309th
Roman numeral
CCCIX
Binary
100110101
Octal
465
Hexadecimal
0x135
Base64
ATU=
One's complement
65,226 (16-bit)
In other bases
ternary (3) 102110
quaternary (4) 10311
quinary (5) 2214
senary (6) 1233
septenary (7) 621
nonary (9) 373
undecimal (11) 261
duodecimal (12) 219
tridecimal (13) 1aa
tetradecimal (14) 181
pentadecimal (15) 159

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
τθʹ
Mayan (base 20)
𝋯·𝋩
Chinese
三百零九
Chinese (financial)
參佰零玖
In other modern scripts
Eastern Arabic ٣٠٩ Devanagari ३०९ Bengali ৩০৯ Tamil ௩௦௯ Thai ๓๐๙ Tibetan ༣༠༩ Khmer ៣០៩ Lao ໓໐໙ Burmese ၃၀၉

Digit at this position in famous constants

π — Pi (π)
Digit 309 = 0
e — Euler's number (e)
Digit 309 = 6
φ — Golden ratio (φ)
Digit 309 = 4
√2 — Pythagoras's (√2)
Digit 309 = 9
ln 2 — Natural log of 2
Digit 309 = 0
γ — Euler-Mascheroni (γ)
Digit 309 = 3

Also seen as

Unicode codepoint
ĵ
Latin Small Letter J With Circumflex
U+0135
Lowercase letter (Ll)

UTF-8 encoding: C4 B5 (2 bytes).

Hex color
#000135
RGB(0, 1, 53)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.53.

Address
0.0.1.53
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.1.53

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

NANP area code 309

The number 309 is an active NANP area code (North American Numbering Plan).

Primary area
Peoria / Bloomington
Region
Illinois
Country
United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.