number.wiki
Live analysis

2,133

2,133 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.).

2,133 (two thousand one hundred thirty-three) is an odd 4-digit number. It is a composite number with 8 divisors, and factors as 3³ × 79. Written other ways, in Roman numerals it is MMCXXXIII and in binary, 100001010101.

Arithmetic Number Deficient Number Happy Number Harshad / Niven Octagonal Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
9
Digit product
18
Digital root
9
Palindrome
No
Bit width
12 bits
Reversed
3,312
Recamán's sequence
a(3,485) = 2,133
Square (n²)
4,549,689
Cube (n³)
9,704,486,637
Divisor count
8
σ(n) — sum of divisors
3,200
φ(n) — Euler's totient
1,404
Sum of prime factors
88

Primality

Prime factorization: 3 3 × 79

Nearest primes: 2,131 (−2) · 2,137 (+4)

Divisors & multiples

All divisors (8)
1 · 3 · 9 · 27 · 79 · 237 · 711 · 2133
Aliquot sum (sum of proper divisors): 1,067
Factor pairs (a × b = 2,133)
1 × 2133
3 × 711
9 × 237
27 × 79
First multiples
2,133 · 4,266 (double) · 6,399 · 8,532 · 10,665 · 12,798 · 14,931 · 17,064 · 19,197 · 21,330

Sums & aliquot sequence

As consecutive integers: 1,066 + 1,067 710 + 711 + 712 353 + 354 + 355 + 356 + 357 + 358 233 + 234 + … + 241
Aliquot sequence: 2,133 1,067 109 1 0 — terminates at zero

Continued fraction of √n

√2,133 = [46; (5, 2, 2, 1, 2, 1, 2, 2, 5, 92)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
two thousand one hundred thirty-three
Ordinal
2133rd
Roman numeral
MMCXXXIII
Binary
100001010101
Octal
4125
Hexadecimal
0x855
Base64
CFU=
One's complement
63,402 (16-bit)
Scientific notation
2.133 × 10³
As a duration
2,133 s = 35 minutes, 33 seconds
In other bases
ternary (3) 2221000
quaternary (4) 201111
quinary (5) 32013
senary (6) 13513
septenary (7) 6135
nonary (9) 2830
undecimal (11) 166a
duodecimal (12) 1299
tridecimal (13) c81
tetradecimal (14) ac5
pentadecimal (15) 973

As an angle

2,133° = 5 × 360° + 333°
333° ≈ 5.812 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵βρλγʹ
Mayan (base 20)
𝋥·𝋦·𝋭
Chinese
二千一百三十三
Chinese (financial)
貳仟壹佰參拾參
In other modern scripts
Eastern Arabic ٢١٣٣ Devanagari २१३३ Bengali ২১৩৩ Tamil ௨௧௩௩ Thai ๒๑๓๓ Tibetan ༢༡༣༣ Khmer ២១៣៣ Lao ໒໑໓໓ Burmese ၂၁၃၃

Digit at this position in famous constants

π — Pi (π)
Digit 2,133 = 5
e — Euler's number (e)
Digit 2,133 = 8
φ — Golden ratio (φ)
Digit 2,133 = 1
√2 — Pythagoras's (√2)
Digit 2,133 = 4
ln 2 — Natural log of 2
Digit 2,133 = 5
γ — Euler-Mascheroni (γ)
Digit 2,133 = 8

Also seen as

Unicode codepoint
Mandaic Letter At
U+0855
Other letter (Lo)

UTF-8 encoding: E0 A1 95 (3 bytes).

Hex color
#000855
RGB(0, 8, 85)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.85.

Address
0.0.8.85
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.85

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

Musical pitch

Heard as a frequency, 2,133 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C7 (2093 Hz, +33¢)
  • Scientific pitch (C4 = 256 Hz): C♯7 (2169.8 Hz, -30¢)
  • Baroque pitch (A4 = 415 Hz): C♯7 (2091.5 Hz, +34¢)
Position in π

The digit sequence 2133 first appears in π at position 280 of the decimal expansion (the 280ordinal-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°.