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Number

1,815

1,815 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Year

Notable events — 1815 AD

  1. Mar 20 Napoleon returns to Paris from Elba, beginning the Hundred Days.
  2. Apr 10 Mount Tambora in Indonesia erupts, the largest eruption in recorded history.
  3. Jun 18 Wellington and Blücher defeat Napoleon at Waterloo.
  4. Jun 22 Napoleon abdicates a second time; he is exiled to St. Helena.
  5. Jun 9 The Congress of Vienna concludes, reshaping Europe.

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
Sunday
January 1, 1815
Ended on
Sunday
December 31, 1815
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
March 26
Sunday, March 26, 1815
Decade
1810s
1810–1819
Century
19th century
1801–1900
Millennium
2nd millennium
1001–2000
Years ago
211
211 years before 2026.

In other calendars

Hebrew
5575 / 5576 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1230 / 1231 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Pig
Sexagenary cycle position 12 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2358 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1193 / 1194 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1807 / 1808 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1737 / 1736 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
15
Digit product
40
Digital root
6
Palindrome
No
Bit width
11 bits
Reversed
5,181
Recamán's sequence
a(453) = 1,815
Square (n²)
3,294,225
Cube (n³)
5,979,018,375
Divisor count
12
σ(n) — sum of divisors
3,192
φ(n) — Euler's totient
880
Sum of prime factors
30

Primality

Prime factorization: 3 × 5 × 11 2

Nearest primes: 1,811 (−4) · 1,823 (+8)

Divisors & multiples

All divisors (12)
1 · 3 · 5 · 11 · 15 · 33 · 55 · 121 · 165 · 363 · 605 · 1815
Aliquot sum (sum of proper divisors): 1,377
Factor pairs (a × b = 1,815)
1 × 1815
3 × 605
5 × 363
11 × 165
15 × 121
33 × 55
First multiples
1,815 · 3,630 (double) · 5,445 · 7,260 · 9,075 · 10,890 · 12,705 · 14,520 · 16,335 · 18,150

Sums & aliquot sequence

As consecutive integers: 907 + 908 604 + 605 + 606 361 + 362 + 363 + 364 + 365 300 + 301 + 302 + 303 + 304 + 305
Aliquot sequence: 1,815 1,377 801 369 177 63 41 1 0 — terminates at zero

Representations

In words
one thousand eight hundred fifteen
Ordinal
1815th
Roman numeral
MDCCCXV
Binary
11100010111
Octal
3427
Hexadecimal
0x717
Base64
Bxc=
One's complement
63,720 (16-bit)
In other bases
ternary (3) 2111020
quaternary (4) 130113
quinary (5) 24230
senary (6) 12223
septenary (7) 5202
nonary (9) 2436
undecimal (11) 1400
duodecimal (12) 1073
tridecimal (13) a98
tetradecimal (14) 939
pentadecimal (15) 810

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αωιεʹ
Mayan (base 20)
𝋤·𝋪·𝋯
Chinese
一千八百一十五
Chinese (financial)
壹仟捌佰壹拾伍
In other modern scripts
Eastern Arabic ١٨١٥ Devanagari १८१५ Bengali ১৮১৫ Tamil ௧௮௧௫ Thai ๑๘๑๕ Tibetan ༡༨༡༥ Khmer ១៨១៥ Lao ໑໘໑໕ Burmese ၁၈၁၅

Digit at this position in famous constants

π — Pi (π)
Digit 1,815 = 5
e — Euler's number (e)
Digit 1,815 = 5
φ — Golden ratio (φ)
Digit 1,815 = 4
√2 — Pythagoras's (√2)
Digit 1,815 = 1
ln 2 — Natural log of 2
Digit 1,815 = 2
γ — Euler-Mascheroni (γ)
Digit 1,815 = 8

Also seen as

Unicode codepoint
ܗ
Syriac Letter He
U+0717
Other letter (Lo)

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

Hex color
#000717
RGB(0, 7, 23)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.23.

Address
0.0.7.23
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.7.23

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

Position in π

The digit sequence 1815 first appears in π at position 728 of the decimal expansion (the 728ordinal-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.