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Number

2,100

2,100 is a composite number, even, a calendar year.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 2100 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
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
Friday
January 1, 2100
Ended on
Friday
December 31, 2100
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
March 28
Sunday, March 28, 2100
Decade
2100s
2100–2109
Century
21st century
2001–2100
Millennium
3rd millennium
2001–3000
Years until
74
74 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
5860 / 5861 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1523 / 1524 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Monkey
Sexagenary cycle position 57 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2643 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1478 / 1479 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
2092 / 2093 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
2022 / 2021 Saka
Indian national calendar; year starts in March.
Japanese
Reiwa 82
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Even
Digit count
4
Digit sum
3
Digit product
0
Digital root
3
Palindrome
No
Bit width
12 bits
Reversed
12
Recamán's sequence
a(3,551) = 2,100
Square (n²)
4,410,000
Cube (n³)
9,261,000,000
Divisor count
36
σ(n) — sum of divisors
6,944
φ(n) — Euler's totient
480
Sum of prime factors
24

Primality

Prime factorization: 2 2 × 3 × 5 2 × 7

Nearest primes: 2,099 (−1) · 2,111 (+11)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 10 · 12 · 14 · 15 · 20 · 21 · 25 · 28 · 30 · 35 · 42 · 50 · 60 · 70 · 75 · 84 · 100 · 105 · 140 · 150 · 175 · 210 · 300 · 350 · 420 · 525 · 700 · 1050 (half) · 2100
Aliquot sum (sum of proper divisors): 4,844
Factor pairs (a × b = 2,100)
1 × 2100
2 × 1050
3 × 700
4 × 525
5 × 420
6 × 350
7 × 300
10 × 210
12 × 175
14 × 150
15 × 140
20 × 105
21 × 100
25 × 84
28 × 75
30 × 70
35 × 60
42 × 50
First multiples
2,100 · 4,200 (double) · 6,300 · 8,400 · 10,500 · 12,600 · 14,700 · 16,800 · 18,900 · 21,000

Sums & aliquot sequence

As consecutive integers: 699 + 700 + 701 418 + 419 + 420 + 421 + 422 297 + 298 + … + 303 259 + 260 + … + 266
Aliquot sequence: 2,100 4,844 4,900 7,469 1,939 285 195 141 51 21 11 1 0 — terminates at zero

Representations

In words
two thousand one hundred
Ordinal
2100th
Roman numeral
MMC
Binary
100000110100
Octal
4064
Hexadecimal
0x834
Base64
CDQ=
One's complement
63,435 (16-bit)
In other bases
ternary (3) 2212210
quaternary (4) 200310
quinary (5) 31400
senary (6) 13420
septenary (7) 6060
nonary (9) 2783
undecimal (11) 163a
duodecimal (12) 1270
tridecimal (13) c57
tetradecimal (14) aa0
pentadecimal (15) 950

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆼𓆼𓍢
Greek (Milesian)
͵βρʹ
Mayan (base 20)
𝋥·𝋥·𝋠
Chinese
二千一百
Chinese (financial)
貳仟壹佰
In other modern scripts
Eastern Arabic ٢١٠٠ Devanagari २१०० Bengali ২১০০ Tamil ௨௧௦௦ Thai ๒๑๐๐ Tibetan ༢༡༠༠ Khmer ២១០០ Lao ໒໑໐໐ Burmese ၂၁၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 2,100 = 0
e — Euler's number (e)
Digit 2,100 = 3
φ — Golden ratio (φ)
Digit 2,100 = 4
√2 — Pythagoras's (√2)
Digit 2,100 = 6
ln 2 — Natural log of 2
Digit 2,100 = 2
γ — Euler-Mascheroni (γ)
Digit 2,100 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2100, here are decompositions:

  • 11 + 2089 = 2100
  • 13 + 2087 = 2100
  • 17 + 2083 = 2100
  • 19 + 2081 = 2100
  • 31 + 2069 = 2100
  • 37 + 2063 = 2100
  • 47 + 2053 = 2100
  • 61 + 2039 = 2100

Showing the first eight; more decompositions exist.

Unicode codepoint
Samaritan Punctuation Atmaau
U+0834
Other punctuation (Po)

UTF-8 encoding: E0 A0 B4 (3 bytes).

Hex color
#000834
RGB(0, 8, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.52.

Address
0.0.8.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.52

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

Position in π

The digit sequence 2100 first appears in π at position 3,479 of the decimal expansion (the 3,479ordinal-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.