Number

1,041

1,041 is a composite number, odd, a calendar year.

1,041 (one thousand forty-one) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 3 × 347. Written other ways, in Roman numerals it is MXLI and in binary, 10000010001.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,029 1,030 1,031 1,032 1,033 1,034 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

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Historical context — 1041 AD

Calendar year

Year 1041 (MXLI) 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, 1041
Ended on: Friday
December 31, 1041
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: 985
985 years before 2026.

In other calendars

Hebrew: 4801 / 4802 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 432 / 433 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Snake
Sexagenary cycle position 18 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1584 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 419 / 420 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1033 / 1034 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 963 / 962 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 1,401
Recamán's sequence: a(4,337) = 1,041
Square (n²): 1,083,681
Cube (n³): 1,128,111,921
Divisor count: 4
σ(n) — sum of divisors: 1,392
φ(n) — Euler's totient: 692
Sum of prime factors: 350

Primality

Prime factorization: 3 × 347

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

Divisors & multiples

All divisors (4)

1 · 3 · 347 · 1041

Aliquot sum (sum of proper divisors): 351

Factor pairs (a × b = 1,041)

1 × 1041

3 × 347

First multiples

1,041 · 2,082 (double) · 3,123 · 4,164 · 5,205 · 6,246 · 7,287 · 8,328 · 9,369 · 10,410

Sums & aliquot sequence

As consecutive integers: 520 + 521 346 + 347 + 348 171 + 172 + 173 + 174 + 175 + 176

Aliquot sequence: 1,041 → 351 → 209 → 31 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,041 = [32; (3, 1, 3, 1, 1, 4, 2, 2, 7, 1, 1, 1, 12, 3, 1, 20, 1, 3, 12, 1, 1, 1, 7, 2, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: one thousand forty-one
Ordinal: 1041st
Roman numeral: MXLI
Binary: 10000010001
Octal: 2021
Hexadecimal: 0x411
Base64: BBE=
One's complement: 64,494 (16-bit)
Scientific notation: 1.041 × 10³
As a duration: 1,041 s = 17 minutes, 21 seconds

In other bases

ternary (3) 1102120

quaternary (4) 100101

quinary (5) 13131

senary (6) 4453

septenary (7) 3015

nonary (9) 1376

undecimal (11) 867

duodecimal (12) 729

tridecimal (13) 621

tetradecimal (14) 545

pentadecimal (15) 496

Palindromic in base 5, base 14

As an angle

1,041° = 2 × 360° + 321°

321° ≈ 5.603 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵αμαʹ
Mayan (base 20): 𝋢·𝋬·𝋡
Chinese: 一千零四十一
Chinese (financial): 壹仟零肆拾壹

In other modern scripts

Eastern Arabic ١٠٤١ Devanagari १०४१ Bengali ১০৪১ Tamil ௧௦௪௧ Thai ๑๐๔๑ Tibetan ༡༠༤༡ Khmer ១០៤១ Lao ໑໐໔໑ Burmese ၁၀၄၁

Digit at this position in famous constants

π — Pi (π): Digit 1,041 = 6
e — Euler's number (e): Digit 1,041 = 3
φ — Golden ratio (φ): Digit 1,041 = 0
√2 — Pythagoras's (√2): Digit 1,041 = 6
ln 2 — Natural log of 2: Digit 1,041 = 0
γ — Euler-Mascheroni (γ): Digit 1,041 = 3

Also seen as

Unicode codepoint

Cyrillic Capital Letter Be

U+0411

Uppercase letter (Lu)

UTF-8 encoding: D0 91 (2 bytes).

Lookup U+0411 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000411

RGB(0, 4, 17)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.17.

Address: 0.0.4.17
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.17

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

Musical pitch

Heard as a frequency, 1,041 Hz is closest to:

Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, -9¢)
Scientific pitch (C4 = 256 Hz): C6 (1024 Hz, +29¢)
Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, -8¢)

Position in π

The digit sequence 1041 first appears in π at position 7,802 of the decimal expansion (the 7,802ordinal-suffix:nd 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 1041 on Pi Search ↗