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Number

641

641 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Deficient Number Descending Digits Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree Twin Prime Year

Historical context — 641 AD

Calendar year

Year 641 (DCXLI) was a common year starting on Monday of the Julian calendar.

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Historical context — 641 BC

Calendar year

The year 641 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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, 641
Ended on
Friday
December 31, 641
Friday the 13ths
1
One Friday the 13th this year.
Decade
640s
640–649
Century
7th century
601–700
Millennium
1st millennium
1–1000
Years ago
1,385
1385 years before 2026.

In other calendars

Hebrew
4401 / 4402 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
20 / 21 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Ox
Sexagenary cycle position 38 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1184 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
19 / 20 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
633 / 634 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
563 / 562 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
11
Digit product
24
Digital root
2
Palindrome
No
Bit width
10 bits
Reversed
146
Recamán's sequence
a(4,637) = 641
Square (n²)
410,881
Cube (n³)
263,374,721
Divisor count
2
σ(n) — sum of divisors
642
φ(n) — Euler's totient
640

Primality

641 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 641
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 641)
1 × 641
First multiples
641 · 1,282 (double) · 1,923 · 2,564 · 3,205 · 3,846 · 4,487 · 5,128 · 5,769 · 6,410

Sums & aliquot sequence

As a sum of two squares: 4² + 25²
As consecutive integers: 320 + 321

Representations

In words
six hundred forty-one
Ordinal
641st
Roman numeral
DCXLI
Binary
1010000001
Octal
1201
Hexadecimal
0x281
Base64
AoE=
One's complement
64,894 (16-bit)
In other bases
ternary (3) 212202
quaternary (4) 22001
quinary (5) 10031
senary (6) 2545
septenary (7) 1604
nonary (9) 782
undecimal (11) 533
duodecimal (12) 455
tridecimal (13) 3a4
tetradecimal (14) 33b
pentadecimal (15) 2cb

Historical numeral systems

Babylonian (base 60)
𒌋 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
χμαʹ
Mayan (base 20)
𝋡·𝋬·𝋡
Chinese
六百四十一
Chinese (financial)
陸佰肆拾壹
In other modern scripts
Eastern Arabic ٦٤١ Devanagari ६४१ Bengali ৬৪১ Tamil ௬௪௧ Thai ๖๔๑ Tibetan ༦༤༡ Khmer ៦៤១ Lao ໖໔໑ Burmese ၆၄၁

Digit at this position in famous constants

π — Pi (π)
Digit 641 = 1
e — Euler's number (e)
Digit 641 = 3
φ — Golden ratio (φ)
Digit 641 = 3
√2 — Pythagoras's (√2)
Digit 641 = 3
ln 2 — Natural log of 2
Digit 641 = 6
γ — Euler-Mascheroni (γ)
Digit 641 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 631 (gap of 10)
  • Next prime: 643 (gap of 2)

Pair status: twin with 643.

Unicode codepoint
ʁ
Latin Letter Small Capital Inverted R
U+0281
Lowercase letter (Ll)

UTF-8 encoding: CA 81 (2 bytes).

Hex color
#000281
RGB(0, 2, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.129.

Address
0.0.2.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.2.129

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

NANP area code 641

The number 641 is an active NANP area code (North American Numbering Plan).

Primary area
North-central Iowa
Region
Iowa
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.