Number

1,172

1,172 is a composite number, even, a calendar year.

1,172 (one thousand one hundred seventy-two) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2² × 293. Written other ways, in Roman numerals it is MCLXXII and in binary, 10010010100.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Year

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,160 1,161 1,162 1,163 1,164 1,165 1,166 1,167 1,168 1,169 1,170 1,171 1,172 1,173 1,174 1,175 1,176 1,177 1,178 1,179 1,180 1,181 1,182 1,183 1,184

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Historical context — 1172 AD

Calendar year

Year 1172 (MCLXXII) was a leap 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: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Saturday
January 1, 1172
Ended on: Sunday
December 31, 1172
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1170s
1170–1179
Century: 12th century
1101–1200
Millennium: 2nd millennium
1001–2000
Years ago: 854
854 years before 2026.

In other calendars

Hebrew: 4932 / 4933 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 567 / 568 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Dragon
Sexagenary cycle position 29 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1715 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 550 / 551 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1164 / 1165 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1094 / 1093 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 11
Digit product: 14
Digital root: 2
Palindrome: No
Bit width: 11 bits
Reversed: 2,711
Recamán's sequence: a(1,828) = 1,172
Square (n²): 1,373,584
Cube (n³): 1,609,840,448
Divisor count: 6
σ(n) — sum of divisors: 2,058
φ(n) — Euler's totient: 584
Sum of prime factors: 297

Primality

Prime factorization: 2 ² × 293

Nearest primes: 1,171 (−1) · 1,181 (+9)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 293 · 586 (half) · 1172

Aliquot sum (sum of proper divisors): 886

Factor pairs (a × b = 1,172)

1 × 1172

2 × 586

4 × 293

First multiples

1,172 · 2,344 (double) · 3,516 · 4,688 · 5,860 · 7,032 · 8,204 · 9,376 · 10,548 · 11,720

Sums & aliquot sequence

As a sum of two squares: 4² + 34²

As consecutive integers: 143 + 144 + … + 150

Aliquot sequence: 1,172 → 886 → 446 → 226 → 116 → 94 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,172 = [34; (4, 3, 1, 3, 1, 1, 16, 1, 1, 3, 1, 3, 4, 68)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one thousand one hundred seventy-two
Ordinal: 1172nd
Roman numeral: MCLXXII
Binary: 10010010100
Octal: 2224
Hexadecimal: 0x494
Base64: BJQ=
One's complement: 64,363 (16-bit)
Scientific notation: 1.172 × 10³
As a duration: 1,172 s = 19 minutes, 32 seconds

In other bases

ternary (3) 1121102

quaternary (4) 102110

quinary (5) 14142

senary (6) 5232

septenary (7) 3263

nonary (9) 1542

undecimal (11) 976

duodecimal (12) 818

tridecimal (13) 6c2

tetradecimal (14) 5da

pentadecimal (15) 532

Palindromic in base 12, base 16

As an angle

1,172° = 3 × 360° + 92°

92° ≈ 1.606 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵αροβʹ
Mayan (base 20): 𝋢·𝋲·𝋬
Chinese: 一千一百七十二
Chinese (financial): 壹仟壹佰柒拾貳

In other modern scripts

Eastern Arabic ١١٧٢ Devanagari ११७२ Bengali ১১৭২ Tamil ௧௧௭௨ Thai ๑๑๗๒ Tibetan ༡༡༧༢ Khmer ១១៧២ Lao ໑໑໗໒ Burmese ၁၁၇၂

Digit at this position in famous constants

π — Pi (π): Digit 1,172 = 0
e — Euler's number (e): Digit 1,172 = 4
φ — Golden ratio (φ): Digit 1,172 = 9
√2 — Pythagoras's (√2): Digit 1,172 = 8
ln 2 — Natural log of 2: Digit 1,172 = 4
γ — Euler-Mascheroni (γ): Digit 1,172 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1172, here are decompositions:

19 + 1153 = 1172
43 + 1129 = 1172
79 + 1093 = 1172
103 + 1069 = 1172
109 + 1063 = 1172
139 + 1033 = 1172
151 + 1021 = 1172
163 + 1009 = 1172

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Ghe With Middle Hook

U+0494

Uppercase letter (Lu)

UTF-8 encoding: D2 94 (2 bytes).

Lookup U+0494 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000494

RGB(0, 4, 148)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.148.

Address: 0.0.4.148
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.148

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

Musical pitch

Heard as a frequency, 1,172 Hz is closest to:

Concert pitch (A4 = 440 Hz): D6 (1174.7 Hz, -4¢)
Scientific pitch (C4 = 256 Hz): D6 (1149.4 Hz, +34¢)
Baroque pitch (A4 = 415 Hz): D♯6 (1173.8 Hz, -3¢)

Position in π

The digit sequence 1172 first appears in π at position 6,804 of the decimal expansion (the 6,804ordinal-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 1172 on Pi Search ↗