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2,123

2,123 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.).

2,123 (two thousand one hundred twenty-three) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 11 × 193. Written other ways, in Roman numerals it is MMCXXIII and in binary, 100001001011.

Arithmetic Number Consecutive Digits Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Self Number Semiprime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
8
Digit product
12
Digital root
8
Palindrome
No
Bit width
12 bits
Reversed
3,212
Recamán's sequence
a(3,505) = 2,123
Square (n²)
4,507,129
Cube (n³)
9,568,634,867
Divisor count
4
σ(n) — sum of divisors
2,328
φ(n) — Euler's totient
1,920
Sum of prime factors
204

Primality

Prime factorization: 11 × 193

Nearest primes: 2,113 (−10) · 2,129 (+6)

Divisors & multiples

All divisors (4)
1 · 11 · 193 · 2123
Aliquot sum (sum of proper divisors): 205
Factor pairs (a × b = 2,123)
1 × 2123
11 × 193
First multiples
2,123 · 4,246 (double) · 6,369 · 8,492 · 10,615 · 12,738 · 14,861 · 16,984 · 19,107 · 21,230

Sums & aliquot sequence

As consecutive integers: 1,061 + 1,062 188 + 189 + … + 198 86 + 87 + … + 107
Aliquot sequence: 2,123 205 47 1 0 — terminates at zero

Continued fraction of √n

√2,123 = [46; (13, 6, 1, 1, 45, 1, 1, 6, 13, 92)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
two thousand one hundred twenty-three
Ordinal
2123rd
Roman numeral
MMCXXIII
Binary
100001001011
Octal
4113
Hexadecimal
0x84B
Base64
CEs=
One's complement
63,412 (16-bit)
Scientific notation
2.123 × 10³
As a duration
2,123 s = 35 minutes, 23 seconds
In other bases
ternary (3) 2220122
quaternary (4) 201023
quinary (5) 31443
senary (6) 13455
septenary (7) 6122
nonary (9) 2818
undecimal (11) 1660
duodecimal (12) 128b
tridecimal (13) c74
tetradecimal (14) ab9
pentadecimal (15) 968

As an angle

2,123° = 5 × 360° + 323°
323° ≈ 5.637 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵βρκγʹ
Mayan (base 20)
𝋥·𝋦·𝋣
Chinese
二千一百二十三
Chinese (financial)
貳仟壹佰貳拾參
In other modern scripts
Eastern Arabic ٢١٢٣ Devanagari २१२३ Bengali ২১২৩ Tamil ௨௧௨௩ Thai ๒๑๒๓ Tibetan ༢༡༢༣ Khmer ២១២៣ Lao ໒໑໒໓ Burmese ၂၁၂၃

Digit at this position in famous constants

π — Pi (π)
Digit 2,123 = 4
e — Euler's number (e)
Digit 2,123 = 3
φ — Golden ratio (φ)
Digit 2,123 = 1
√2 — Pythagoras's (√2)
Digit 2,123 = 5
ln 2 — Natural log of 2
Digit 2,123 = 7
γ — Euler-Mascheroni (γ)
Digit 2,123 = 1

Also seen as

Unicode codepoint
Mandaic Letter Al
U+084B
Other letter (Lo)

UTF-8 encoding: E0 A1 8B (3 bytes).

Hex color
#00084B
RGB(0, 8, 75)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.75.

Address
0.0.8.75
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.75

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

Musical pitch

Heard as a frequency, 2,123 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C7 (2093 Hz, +25¢)
  • Scientific pitch (C4 = 256 Hz): C♯7 (2169.8 Hz, -38¢)
  • Baroque pitch (A4 = 415 Hz): C♯7 (2091.5 Hz, +26¢)
Position in π

The digit sequence 2123 first appears in π at position 8,771 of the decimal expansion (the 8,771ordinal-suffix:st 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.