Number

1,206

1,206 is a composite number, even, a calendar year.

1,206 (one thousand two hundred six) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 67. Its proper divisors sum to 1,446, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCVI and in binary, 10010110110.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,194 1,195 1,196 1,197 1,198 1,199 1,200 1,201 1,202 1,203 1,204 1,205 1,206 1,207 1,208 1,209 1,210 1,211 1,212 1,213 1,214 1,215 1,216 1,217 1,218

less more

Notable events — 1206 AD

Undated Temüjin is proclaimed Genghis Khan, founding the Mongol Empire.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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, 1206
Ended on: Sunday
December 31, 1206
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1200s
1200–1209
Century: 13th century
1201–1300
Millennium: 2nd millennium
1001–2000
Years ago: 820
820 years before 2026.

In other calendars

Hebrew: 4966 / 4967 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 602 / 603 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: 1749 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 584 / 585 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1198 / 1199 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1128 / 1127 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: 6,021
Recamán's sequence: a(8,576) = 1,206
Square (n²): 1,454,436
Cube (n³): 1,754,049,816
Divisor count: 12
σ(n) — sum of divisors: 2,652
φ(n) — Euler's totient: 396
Sum of prime factors: 75

Primality

Prime factorization: 2 × 3 ² × 67

Nearest primes: 1,201 (−5) · 1,213 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 67 · 134 · 201 · 402 · 603 (half) · 1206

Aliquot sum (sum of proper divisors): 1,446

Factor pairs (a × b = 1,206)

1 × 1206

2 × 603

3 × 402

6 × 201

9 × 134

18 × 67

First multiples

1,206 · 2,412 (double) · 3,618 · 4,824 · 6,030 · 7,236 · 8,442 · 9,648 · 10,854 · 12,060

Sums & aliquot sequence

As consecutive integers: 401 + 402 + 403 300 + 301 + 302 + 303 130 + 131 + … + 138 95 + 96 + … + 106

Aliquot sequence: 1,206 → 1,446 → 1,458 → 1,821 → 611 → 61 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,206 = [34; (1, 2, 1, 2, 34, 2, 1, 2, 1, 68)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one thousand two hundred six
Ordinal: 1206th
Roman numeral: MCCVI
Binary: 10010110110
Octal: 2266
Hexadecimal: 0x4B6
Base64: BLY=
One's complement: 64,329 (16-bit)
Scientific notation: 1.206 × 10³
As a duration: 1,206 s = 20 minutes, 6 seconds

In other bases

ternary (3) 1122200

quaternary (4) 102312

quinary (5) 14311

senary (6) 5330

septenary (7) 3342

nonary (9) 1580

undecimal (11) 9a7

duodecimal (12) 846

tridecimal (13) 71a

tetradecimal (14) 622

pentadecimal (15) 556

As an angle

1,206° = 3 × 360° + 126°

126° ≈ 2.199 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ασϛʹ
Mayan (base 20): 𝋣·𝋠·𝋦
Chinese: 一千二百零六
Chinese (financial): 壹仟貳佰零陸

In other modern scripts

Eastern Arabic ١٢٠٦ Devanagari १२०६ Bengali ১২০৬ Tamil ௧௨௦௬ Thai ๑๒๐๖ Tibetan ༡༢༠༦ Khmer ១២០៦ Lao ໑໒໐໖ Burmese ၁၂၀၆

Digit at this position in famous constants

π — Pi (π): Digit 1,206 = 6
e — Euler's number (e): Digit 1,206 = 9
φ — Golden ratio (φ): Digit 1,206 = 6
√2 — Pythagoras's (√2): Digit 1,206 = 6
ln 2 — Natural log of 2: Digit 1,206 = 2
γ — Euler-Mascheroni (γ): Digit 1,206 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1206, here are decompositions:

5 + 1201 = 1206
13 + 1193 = 1206
19 + 1187 = 1206
43 + 1163 = 1206
53 + 1153 = 1206
83 + 1123 = 1206
89 + 1117 = 1206
97 + 1109 = 1206

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Che With Descender

U+04B6

Uppercase letter (Lu)

UTF-8 encoding: D2 B6 (2 bytes).

Lookup U+04B6 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0004B6

RGB(0, 4, 182)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.182.

Address: 0.0.4.182
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.182

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

Musical pitch

Heard as a frequency, 1,206 Hz is closest to:

Concert pitch (A4 = 440 Hz): D6 (1174.7 Hz, +46¢ — about midway to D♯6)
Scientific pitch (C4 = 256 Hz): D♯6 (1217.7 Hz, -17¢)
Baroque pitch (A4 = 415 Hz): D♯6 (1173.8 Hz, +47¢ — about midway to E6)

Position in π

The digit sequence 1206 first appears in π at position 3,258 of the decimal expansion (the 3,258ordinal-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 1206 on Pi Search ↗