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2,109

2,109 is a composite number, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

2,109 (two thousand one hundred nine) is an odd 4-digit number. It is a composite number with 8 divisors, and factors as 3 × 19 × 37. Written other ways, in Roman numerals it is MMCIX and in binary, 100000111101.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Recamán's Sequence Sphenic Number Square Pyramidal Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
12 bits
Reversed
9,012
Recamán's sequence
a(3,533) = 2,109
Square (n²)
4,447,881
Cube (n³)
9,380,581,029
Divisor count
8
σ(n) — sum of divisors
3,040
φ(n) — Euler's totient
1,296
Sum of prime factors
59

Primality

Prime factorization: 3 × 19 × 37

Nearest primes: 2,099 (−10) · 2,111 (+2)

Divisors & multiples

All divisors (8)
1 · 3 · 19 · 37 · 57 · 111 · 703 · 2109
Aliquot sum (sum of proper divisors): 931
Factor pairs (a × b = 2,109)
1 × 2109
3 × 703
19 × 111
37 × 57
First multiples
2,109 · 4,218 (double) · 6,327 · 8,436 · 10,545 · 12,654 · 14,763 · 16,872 · 18,981 · 21,090

Sums & aliquot sequence

As consecutive integers: 1,054 + 1,055 702 + 703 + 704 349 + 350 + 351 + 352 + 353 + 354 102 + 103 + … + 120
Aliquot sequence: 2,109 931 209 31 1 0 — terminates at zero

Continued fraction of √n

√2,109 = [45; (1, 12, 7, 1, 1, 2, 1, 2, 1, 22, 4, 3, 30, 3, 4, 22, 1, 2, 1, 2, 1, 1, 7, 12, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
two thousand one hundred nine
Ordinal
2109th
Roman numeral
MMCIX
Binary
100000111101
Octal
4075
Hexadecimal
0x83D
Base64
CD0=
One's complement
63,426 (16-bit)
Scientific notation
2.109 × 10³
As a duration
2,109 s = 35 minutes, 9 seconds
In other bases
ternary (3) 2220010
quaternary (4) 200331
quinary (5) 31414
senary (6) 13433
septenary (7) 6102
nonary (9) 2803
undecimal (11) 1648
duodecimal (12) 1279
tridecimal (13) c63
tetradecimal (14) aa9
pentadecimal (15) 959
Palindromic in base 15

As an angle

2,109° = 5 × 360° + 309°
309° ≈ 5.393 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βρθʹ
Mayan (base 20)
𝋥·𝋥·𝋩
Chinese
二千一百零九
Chinese (financial)
貳仟壹佰零玖
In other modern scripts
Eastern Arabic ٢١٠٩ Devanagari २१०९ Bengali ২১০৯ Tamil ௨௧௦௯ Thai ๒๑๐๙ Tibetan ༢༡༠༩ Khmer ២១០៩ Lao ໒໑໐໙ Burmese ၂၁၀၉

Digit at this position in famous constants

π — Pi (π)
Digit 2,109 = 5
e — Euler's number (e)
Digit 2,109 = 3
φ — Golden ratio (φ)
Digit 2,109 = 3
√2 — Pythagoras's (√2)
Digit 2,109 = 5
ln 2 — Natural log of 2
Digit 2,109 = 3
γ — Euler-Mascheroni (γ)
Digit 2,109 = 4

Also seen as

Unicode codepoint
Samaritan Punctuation Sof Mashfaat
U+083D
Other punctuation (Po)

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

Hex color
#00083D
RGB(0, 8, 61)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.61.

Address
0.0.8.61
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.61

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

Musical pitch

Heard as a frequency, 2,109 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C7 (2093 Hz, +13¢)
  • Scientific pitch (C4 = 256 Hz): C♯7 (2169.8 Hz, -49¢ — about midway to C7)
  • Baroque pitch (A4 = 415 Hz): C♯7 (2091.5 Hz, +14¢)
Position in π

The digit sequence 2109 first appears in π at position 9,918 of the decimal expansion (the 9,918ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.