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Number

1,821

1,821 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Notable events — 1821 AD

  1. May 5 Napoleon Bonaparte dies in exile on Saint Helena.
  2. Mar 25 The Greek War of Independence begins.
  3. Jul 28 Peru declares independence from Spain.
  4. Aug 24 The Treaty of Córdoba recognizes Mexican independence.
  5. Aug 10 Missouri becomes the 24th US state.

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
Monday
January 1, 1821
Ended on
Monday
December 31, 1821
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
April 22
Sunday, April 22, 1821
Decade
1820s
1820–1829
Century
19th century
1801–1900
Millennium
2nd millennium
1001–2000
Years ago
205
205 years before 2026.

In other calendars

Hebrew
5581 / 5582 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1236 / 1237 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
2364 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1199 / 1200 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1813 / 1814 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1743 / 1742 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
12
Digit product
16
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
1,281
Recamán's sequence
a(8,102) = 1,821
Square (n²)
3,316,041
Cube (n³)
6,038,510,661
Divisor count
4
σ(n) — sum of divisors
2,432
φ(n) — Euler's totient
1,212
Sum of prime factors
610

Primality

Prime factorization: 3 × 607

Nearest primes: 1,811 (−10) · 1,823 (+2)

Divisors & multiples

All divisors (4)
1 · 3 · 607 · 1821
Aliquot sum (sum of proper divisors): 611
Factor pairs (a × b = 1,821)
1 × 1821
3 × 607
First multiples
1,821 · 3,642 (double) · 5,463 · 7,284 · 9,105 · 10,926 · 12,747 · 14,568 · 16,389 · 18,210

Sums & aliquot sequence

As consecutive integers: 910 + 911 606 + 607 + 608 301 + 302 + 303 + 304 + 305 + 306
Aliquot sequence: 1,821 611 61 1 0 — terminates at zero

Representations

In words
one thousand eight hundred twenty-one
Ordinal
1821st
Roman numeral
MDCCCXXI
Binary
11100011101
Octal
3435
Hexadecimal
0x71D
Base64
Bx0=
One's complement
63,714 (16-bit)
In other bases
ternary (3) 2111110
quaternary (4) 130131
quinary (5) 24241
senary (6) 12233
septenary (7) 5211
nonary (9) 2443
undecimal (11) 1406
duodecimal (12) 1079
tridecimal (13) aa1
tetradecimal (14) 941
pentadecimal (15) 816

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵αωκαʹ
Mayan (base 20)
𝋤·𝋫·𝋡
Chinese
一千八百二十一
Chinese (financial)
壹仟捌佰貳拾壹
In other modern scripts
Eastern Arabic ١٨٢١ Devanagari १८२१ Bengali ১৮২১ Tamil ௧௮௨௧ Thai ๑๘๒๑ Tibetan ༡༨༢༡ Khmer ១៨២១ Lao ໑໘໒໑ Burmese ၁၈၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 1,821 = 5
e — Euler's number (e)
Digit 1,821 = 0
φ — Golden ratio (φ)
Digit 1,821 = 4
√2 — Pythagoras's (√2)
Digit 1,821 = 2
ln 2 — Natural log of 2
Digit 1,821 = 4
γ — Euler-Mascheroni (γ)
Digit 1,821 = 4

Also seen as

Unicode codepoint
ܝ
Syriac Letter Yudh
U+071D
Other letter (Lo)

UTF-8 encoding: DC 9D (2 bytes).

Hex color
#00071D
RGB(0, 7, 29)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.29.

Address
0.0.7.29
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.7.29

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001821
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 1821 first appears in π at position 8,431 of the decimal expansion (the 8,431ordinal-suffix:st 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.