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Number

1,872

1,872 is a composite number, even, a calendar year.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Smith Number Year

Notable events — 1872 AD

  1. Mar 1 Yellowstone becomes the world's first national park.
  2. Nov 5 Susan B. Anthony illegally casts a vote in the US presidential election; Grant wins re-election.
  3. Nov 9 The Great Boston Fire of 1872 destroys 65 acres of downtown.
  4. Apr 2 Inventor Samuel F. B. Morse dies in New York.
  5. Dec 5 The Mary Celeste is found drifting and abandoned in the Atlantic.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Monday
January 1, 1872
Ended on
Tuesday
December 31, 1872
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
March 31
Sunday, March 31, 1872
Decade
1870s
1870–1879
Century
19th century
1801–1900
Millennium
2nd millennium
1001–2000
Years ago
154
154 years before 2026.
US presidential election
Yes
US holds a presidential election in years divisible by 4 starting from 1788.

In other calendars

Hebrew
5632 / 5633 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1288 / 1289 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Monkey
Sexagenary cycle position 9 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2415 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1250 / 1251 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1864 / 1865 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1794 / 1793 Saka
Indian national calendar; year starts in March.
Japanese
Meiji 5
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Even
Digit count
4
Digit sum
18
Digit product
112
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
2,781
Recamán's sequence
a(8,000) = 1,872
Square (n²)
3,504,384
Cube (n³)
6,560,206,848
Divisor count
30
σ(n) — sum of divisors
5,642
φ(n) — Euler's totient
576
Sum of prime factors
27

Primality

Prime factorization: 2 4 × 3 2 × 13

Nearest primes: 1,871 (−1) · 1,873 (+1)

Divisors & multiples

All divisors (30)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 16 · 18 · 24 · 26 · 36 · 39 · 48 · 52 · 72 · 78 · 104 · 117 · 144 · 156 · 208 · 234 · 312 · 468 · 624 · 936 (half) · 1872
Aliquot sum (sum of proper divisors): 3,770
Factor pairs (a × b = 1,872)
1 × 1872
2 × 936
3 × 624
4 × 468
6 × 312
8 × 234
9 × 208
12 × 156
13 × 144
16 × 117
18 × 104
24 × 78
26 × 72
36 × 52
39 × 48
First multiples
1,872 · 3,744 (double) · 5,616 · 7,488 · 9,360 · 11,232 · 13,104 · 14,976 · 16,848 · 18,720

Sums & aliquot sequence

As a sum of two squares: 24² + 36²
As consecutive integers: 623 + 624 + 625 204 + 205 + … + 212 138 + 139 + … + 150 43 + 44 + … + 74
Aliquot sequence: 1,872 3,770 3,790 3,050 2,716 2,772 5,964 10,164 19,628 19,684 22,876 26,404 30,044 33,796 38,780 54,628 54,684 — unresolved within range

Representations

In words
one thousand eight hundred seventy-two
Ordinal
1872nd
Roman numeral
MDCCCLXXII
Binary
11101010000
Octal
3520
Hexadecimal
0x750
Base64
B1A=
One's complement
63,663 (16-bit)
In other bases
ternary (3) 2120100
quaternary (4) 131100
quinary (5) 24442
senary (6) 12400
septenary (7) 5313
nonary (9) 2510
undecimal (11) 1452
duodecimal (12) 1100
tridecimal (13) b10
tetradecimal (14) 97a
pentadecimal (15) 84c

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵αωοβʹ
Mayan (base 20)
𝋤·𝋭·𝋬
Chinese
一千八百七十二
Chinese (financial)
壹仟捌佰柒拾貳
In other modern scripts
Eastern Arabic ١٨٧٢ Devanagari १८७२ Bengali ১৮৭২ Tamil ௧௮௭௨ Thai ๑๘๗๒ Tibetan ༡༨༧༢ Khmer ១៨៧២ Lao ໑໘໗໒ Burmese ၁၈၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 1,872 = 2
e — Euler's number (e)
Digit 1,872 = 2
φ — Golden ratio (φ)
Digit 1,872 = 7
√2 — Pythagoras's (√2)
Digit 1,872 = 8
ln 2 — Natural log of 2
Digit 1,872 = 0
γ — Euler-Mascheroni (γ)
Digit 1,872 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1872, here are decompositions:

  • 5 + 1867 = 1872
  • 11 + 1861 = 1872
  • 41 + 1831 = 1872
  • 61 + 1811 = 1872
  • 71 + 1801 = 1872
  • 83 + 1789 = 1872
  • 89 + 1783 = 1872
  • 113 + 1759 = 1872

Showing the first eight; more decompositions exist.

Unicode codepoint
ݐ
Arabic Letter Beh With Three Dots Horizontally Below
U+0750
Other letter (Lo)

UTF-8 encoding: DD 90 (2 bytes).

Hex color
#000750
RGB(0, 7, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.80.

Address
0.0.7.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.7.80

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

Position in π

The digit sequence 1872 first appears in π at position 7,292 of the decimal expansion (the 7,292ordinal-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.