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Number

2,072

2,072 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 2072 AD

Current millennium spanning the years 2001 to 3000

The third millennium of the Anno Domini or Common Era is the current millennium spanning the years 2001 to 3000.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

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
Friday
January 1, 2072
Ended on
Saturday
December 31, 2072
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 10
Sunday, April 10, 2072
Decade
2070s
2070–2079
Century
21st century
2001–2100
Millennium
3rd millennium
2001–3000
Years until
46
46 years after 2026.
US presidential election
Yes
US holds a presidential election in years divisible by 4 starting from 1788.
Summer Olympics
Yes

In other calendars

Hebrew
5832 / 5833 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1494 / 1495 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Dragon
Sexagenary cycle position 29 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2615 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1450 / 1451 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
2064 / 2065 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1994 / 1993 Saka
Indian national calendar; year starts in March.
Japanese
Reiwa 54
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Even
Digit count
4
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
12 bits
Reversed
2,702
Recamán's sequence
a(3,607) = 2,072
Square (n²)
4,293,184
Cube (n³)
8,895,477,248
Divisor count
16
σ(n) — sum of divisors
4,560
φ(n) — Euler's totient
864
Sum of prime factors
50

Primality

Prime factorization: 2 3 × 7 × 37

Nearest primes: 2,069 (−3) · 2,081 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 37 · 56 · 74 · 148 · 259 · 296 · 518 · 1036 (half) · 2072
Aliquot sum (sum of proper divisors): 2,488
Factor pairs (a × b = 2,072)
1 × 2072
2 × 1036
4 × 518
7 × 296
8 × 259
14 × 148
28 × 74
37 × 56
First multiples
2,072 · 4,144 (double) · 6,216 · 8,288 · 10,360 · 12,432 · 14,504 · 16,576 · 18,648 · 20,720

Sums & aliquot sequence

As consecutive integers: 293 + 294 + … + 299 122 + 123 + … + 137 38 + 39 + … + 74
Aliquot sequence: 2,072 2,488 2,192 2,086 1,514 760 1,040 1,564 1,460 1,648 1,576 1,394 874 566 286 218 112 — unresolved within range

Representations

In words
two thousand seventy-two
Ordinal
2072nd
Roman numeral
MMLXXII
Binary
100000011000
Octal
4030
Hexadecimal
0x818
Base64
CBg=
One's complement
63,463 (16-bit)
In other bases
ternary (3) 2211202
quaternary (4) 200120
quinary (5) 31242
senary (6) 13332
septenary (7) 6020
nonary (9) 2752
undecimal (11) 1614
duodecimal (12) 1248
tridecimal (13) c35
tetradecimal (14) a80
pentadecimal (15) 932

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵βοβʹ
Mayan (base 20)
𝋥·𝋣·𝋬
Chinese
二千零七十二
Chinese (financial)
貳仟零柒拾貳
In other modern scripts
Eastern Arabic ٢٠٧٢ Devanagari २०७२ Bengali ২০৭২ Tamil ௨௦௭௨ Thai ๒๐๗๒ Tibetan ༢༠༧༢ Khmer ២០៧២ Lao ໒໐໗໒ Burmese ၂၀၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 2,072 = 9
e — Euler's number (e)
Digit 2,072 = 4
φ — Golden ratio (φ)
Digit 2,072 = 9
√2 — Pythagoras's (√2)
Digit 2,072 = 0
ln 2 — Natural log of 2
Digit 2,072 = 7
γ — Euler-Mascheroni (γ)
Digit 2,072 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2072, here are decompositions:

  • 3 + 2069 = 2072
  • 19 + 2053 = 2072
  • 43 + 2029 = 2072
  • 61 + 2011 = 2072
  • 73 + 1999 = 2072
  • 79 + 1993 = 2072
  • 139 + 1933 = 2072
  • 193 + 1879 = 2072

Showing the first eight; more decompositions exist.

Unicode codepoint
Samaritan Mark Occlusion
U+0818
Non-spacing mark (Mn)

UTF-8 encoding: E0 A0 98 (3 bytes).

Hex color
#000818
RGB(0, 8, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.24.

Address
0.0.8.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.24

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

Position in π

The digit sequence 2072 first appears in π at position 2,373 of the decimal expansion (the 2,373ordinal-suffix:rd 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.