Number

2,072

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

2,072 (two thousand seventy-two) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 37. Its proper divisors sum to 2,488, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMLXXII and in binary, 100000011000.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

2,060 2,061 2,062 2,063 2,064 2,065 2,066 2,067 2,068 2,069 2,070 2,071 2,072 2,073 2,074 2,075 2,076 2,077 2,078 2,079 2,080 2,081 2,082 2,083 2,084

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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 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

Continued fraction of √n

√2,072 = [45; (1, 1, 12, 1, 1, 90)]

Period length 6 — the block in parentheses repeats forever.

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)
Scientific notation: 2.072 × 10³
As a duration: 2,072 s = 34 minutes, 32 seconds

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

Palindromic in base 16

As an angle

2,072° = 5 × 360° + 272°

272° ≈ 4.747 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

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).

Lookup U+0818 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 2,072 Hz is closest to:

Concert pitch (A4 = 440 Hz): C7 (2093 Hz, -17¢)
Scientific pitch (C4 = 256 Hz): C7 (2048 Hz, +20¢)
Baroque pitch (A4 = 415 Hz): C♯7 (2091.5 Hz, -16¢)

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.

Look up 2072 on Pi Search ↗