Number

1,047

1,047 is a composite number, odd, a calendar year.

1,047 (one thousand forty-seven) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 3 × 349. Written other ways, in Roman numerals it is MXLVII and in binary, 10000010111.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,035 1,036 1,037 1,038 1,039 1,040 1,041 1,042 1,043 1,044 1,045 1,046 1,047 1,048 1,049 1,050 1,051 1,052 1,053 1,054 1,055 1,056 1,057 1,058 1,059

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Historical context — 1047 AD

Calendar year

Year 1047 (MXLVII) was a common year starting on Thursday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 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: 52
Started on: Friday
January 1, 1047
Ended on: Friday
December 31, 1047
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1040s
1040–1049
Century: 11th century
1001–1100
Millennium: 2nd millennium
1001–2000
Years ago: 979
979 years before 2026.

In other calendars

Hebrew: 4807 / 4808 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 438 / 439 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Pig
Sexagenary cycle position 24 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1590 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 425 / 426 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1039 / 1040 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 969 / 968 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: 7,401
Recamán's sequence: a(4,325) = 1,047
Square (n²): 1,096,209
Cube (n³): 1,147,730,823
Divisor count: 4
σ(n) — sum of divisors: 1,400
φ(n) — Euler's totient: 696
Sum of prime factors: 352

Primality

Prime factorization: 3 × 349

Nearest primes: 1,039 (−8) · 1,049 (+2)

Divisors & multiples

All divisors (4)

1 · 3 · 349 · 1047

Aliquot sum (sum of proper divisors): 353

Factor pairs (a × b = 1,047)

1 × 1047

3 × 349

First multiples

1,047 · 2,094 (double) · 3,141 · 4,188 · 5,235 · 6,282 · 7,329 · 8,376 · 9,423 · 10,470

Sums & aliquot sequence

As consecutive integers: 523 + 524 348 + 349 + 350 172 + 173 + 174 + 175 + 176 + 177

Aliquot sequence: 1,047 → 353 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,047 = [32; (2, 1, 3, 1, 20, 1, 3, 1, 2, 64)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one thousand forty-seven
Ordinal: 1047th
Roman numeral: MXLVII
Binary: 10000010111
Octal: 2027
Hexadecimal: 0x417
Base64: BBc=
One's complement: 64,488 (16-bit)
Scientific notation: 1.047 × 10³
As a duration: 1,047 s = 17 minutes, 27 seconds

In other bases

ternary (3) 1102210

quaternary (4) 100113

quinary (5) 13142

senary (6) 4503

septenary (7) 3024

nonary (9) 1383

undecimal (11) 872

duodecimal (12) 733

tridecimal (13) 627

tetradecimal (14) 54b

pentadecimal (15) 49c

As an angle

1,047° = 2 × 360° + 327°

327° ≈ 5.707 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αμζʹ
Mayan (base 20): 𝋢·𝋬·𝋧
Chinese: 一千零四十七
Chinese (financial): 壹仟零肆拾柒

In other modern scripts

Eastern Arabic ١٠٤٧ Devanagari १०४७ Bengali ১০৪৭ Tamil ௧௦௪௭ Thai ๑๐๔๗ Tibetan ༡༠༤༧ Khmer ១០៤៧ Lao ໑໐໔໗ Burmese ၁၀၄၇

Digit at this position in famous constants

π — Pi (π): Digit 1,047 = 0
e — Euler's number (e): Digit 1,047 = 3
φ — Golden ratio (φ): Digit 1,047 = 5
√2 — Pythagoras's (√2): Digit 1,047 = 6
ln 2 — Natural log of 2: Digit 1,047 = 6
γ — Euler-Mascheroni (γ): Digit 1,047 = 5

Also seen as

Unicode codepoint

Cyrillic Capital Letter Ze

U+0417

Uppercase letter (Lu)

UTF-8 encoding: D0 97 (2 bytes).

Lookup U+0417 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000417

RGB(0, 4, 23)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.23.

Address: 0.0.4.23
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.23

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

Musical pitch

Heard as a frequency, 1,047 Hz is closest to:

Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, +1¢)
Scientific pitch (C4 = 256 Hz): C6 (1024 Hz, +38¢)
Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, +2¢)

Position in π

The digit sequence 1047 first appears in π at position 1,219 of the decimal expansion (the 1,219ordinal-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 1047 on Pi Search ↗