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Number

1,845

1,845 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Gapful Number Odious Number Pernicious Number Recamán's Sequence Year

Notable events — 1845 AD

  1. Mar 3 Florida becomes the 27th US state.
  2. Dec 29 Texas becomes the 28th US state.
  3. Jul 5 Henry David Thoreau moves to Walden Pond.
  4. May 19 The Franklin Expedition sets sail to find the Northwest Passage; all hands are eventually lost.
  5. Aug 16 The Irish potato famine begins.

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
Wednesday
January 1, 1845
Ended on
Wednesday
December 31, 1845
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
March 23
Sunday, March 23, 1845
Decade
1840s
1840–1849
Century
19th century
1801–1900
Millennium
2nd millennium
1001–2000
Years ago
181
181 years before 2026.

In other calendars

Hebrew
5605 / 5606 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1260 / 1262 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Snake
Sexagenary cycle position 42 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2388 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1223 / 1224 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1837 / 1838 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1767 / 1766 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
18
Digit product
160
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
5,481
Recamán's sequence
a(8,054) = 1,845
Square (n²)
3,404,025
Cube (n³)
6,280,426,125
Divisor count
12
σ(n) — sum of divisors
3,276
φ(n) — Euler's totient
960
Sum of prime factors
52

Primality

Prime factorization: 3 2 × 5 × 41

Nearest primes: 1,831 (−14) · 1,847 (+2)

Divisors & multiples

All divisors (12)
1 · 3 · 5 · 9 · 15 · 41 · 45 · 123 · 205 · 369 · 615 · 1845
Aliquot sum (sum of proper divisors): 1,431
Factor pairs (a × b = 1,845)
1 × 1845
3 × 615
5 × 369
9 × 205
15 × 123
41 × 45
First multiples
1,845 · 3,690 (double) · 5,535 · 7,380 · 9,225 · 11,070 · 12,915 · 14,760 · 16,605 · 18,450

Sums & aliquot sequence

As a sum of two squares: 9² + 42² = 18² + 39²
As consecutive integers: 922 + 923 614 + 615 + 616 367 + 368 + 369 + 370 + 371 305 + 306 + 307 + 308 + 309 + 310
Aliquot sequence: 1,845 1,431 729 364 420 924 1,764 3,423 1,825 469 75 49 8 7 1 0 — terminates at zero

Representations

In words
one thousand eight hundred forty-five
Ordinal
1845th
Roman numeral
MDCCCXLV
Binary
11100110101
Octal
3465
Hexadecimal
0x735
Base64
BzU=
One's complement
63,690 (16-bit)
In other bases
ternary (3) 2112100
quaternary (4) 130311
quinary (5) 24340
senary (6) 12313
septenary (7) 5244
nonary (9) 2470
undecimal (11) 1428
duodecimal (12) 1099
tridecimal (13) abc
tetradecimal (14) 95b
pentadecimal (15) 830

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αωμεʹ
Mayan (base 20)
𝋤·𝋬·𝋥
Chinese
一千八百四十五
Chinese (financial)
壹仟捌佰肆拾伍
In other modern scripts
Eastern Arabic ١٨٤٥ Devanagari १८४५ Bengali ১৮৪৫ Tamil ௧௮௪௫ Thai ๑๘๔๕ Tibetan ༡༨༤༥ Khmer ១៨៤៥ Lao ໑໘໔໕ Burmese ၁၈၄၅

Digit at this position in famous constants

π — Pi (π)
Digit 1,845 = 2
e — Euler's number (e)
Digit 1,845 = 3
φ — Golden ratio (φ)
Digit 1,845 = 5
√2 — Pythagoras's (√2)
Digit 1,845 = 4
ln 2 — Natural log of 2
Digit 1,845 = 4
γ — Euler-Mascheroni (γ)
Digit 1,845 = 1

Also seen as

Unicode codepoint
ܵ
Syriac Zqapha Dotted
U+0735
Non-spacing mark (Mn)

UTF-8 encoding: DC B5 (2 bytes).

Hex color
#000735
RGB(0, 7, 53)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.53.

Address
0.0.7.53
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.7.53

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

Position in π

The digit sequence 1845 first appears in π at position 2,867 of the decimal expansion (the 2,867ordinal-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.