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Number

1,933

1,933 is a prime, odd, a calendar year.

1,933 (one thousand nine hundred thirty-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MCMXXXIII and in binary, 11110001101.

Arithmetic Number Cube-Free Deficient Number Emirp Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime Year

Interestingness

Notable events — 1933 AD

  1. Jan 30 Adolf Hitler is appointed Chancellor of Germany.
  2. Feb 27 The Reichstag fire is used to justify suspending civil liberties in Germany.
  3. Mar 4 Franklin D. Roosevelt is inaugurated US president.
  4. Mar 22 The first Nazi concentration camp opens at Dachau.
  5. Dec 5 The 21st Amendment ends Prohibition in the United States.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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
Sunday
January 1, 1933
Ended on
Sunday
December 31, 1933
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
April 16
Sunday, April 16, 1933
Decade
1930s
1930–1939
Century
20th century
1901–2000
Millennium
2nd millennium
1001–2000
Years ago
93
93 years before 2026.

In other calendars

Hebrew
5693 / 5694 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1351 / 1352 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Rooster
Sexagenary cycle position 10 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2476 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1311 / 1312 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1925 / 1926 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1855 / 1854 Saka
Indian national calendar; year starts in March.
Japanese
Shōwa 8
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Odd
Digit count
4
Digit sum
16
Digit product
81
Digital root
7
Palindrome
No
Bit width
11 bits
Reversed
3,391
Recamán's sequence
a(30,170) = 1,933
Square (n²)
3,736,489
Cube (n³)
7,222,633,237
Divisor count
2
σ(n) — sum of divisors
1,934
φ(n) — Euler's totient
1,932

Primality

1,933 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1933
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,933)
1 × 1933
First multiples
1,933 · 3,866 (double) · 5,799 · 7,732 · 9,665 · 11,598 · 13,531 · 15,464 · 17,397 · 19,330

Sums & aliquot sequence

As a sum of two squares: 13² + 42²
As consecutive integers: 966 + 967

Continued fraction of √n

√1,933 = [43; (1, 28, 3, 9, 2, 3, 1, 2, 2, 12, 7, 4, 21, 1, 2, 1, 6, 1, 1, 2, 1, 1, 1, 1, …)]

Period length 51 — the block in parentheses repeats forever.

Representations

In words
one thousand nine hundred thirty-three
Ordinal
1933rd
Roman numeral
MCMXXXIII
Binary
11110001101
Octal
3615
Hexadecimal
0x78D
Base64
B40=
One's complement
63,602 (16-bit)
Scientific notation
1.933 × 10³
As a duration
1,933 s = 32 minutes, 13 seconds
In other bases
ternary (3) 2122121
quaternary (4) 132031
quinary (5) 30213
senary (6) 12541
septenary (7) 5431
nonary (9) 2577
undecimal (11) 14a8
duodecimal (12) 1151
tridecimal (13) b59
tetradecimal (14) 9c1
pentadecimal (15) 88d

As an angle

1,933° = 5 × 360° + 133°
133° ≈ 2.321 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵αϡλγʹ
Mayan (base 20)
𝋤·𝋰·𝋭
Chinese
一千九百三十三
Chinese (financial)
壹仟玖佰參拾參
In other modern scripts
Eastern Arabic ١٩٣٣ Devanagari १९३३ Bengali ১৯৩৩ Tamil ௧௯௩௩ Thai ๑๙๓๓ Tibetan ༡༩༣༣ Khmer ១៩៣៣ Lao ໑໙໓໓ Burmese ၁၉၃၃

Digit at this position in famous constants

π — Pi (π)
Digit 1,933 = 6
e — Euler's number (e)
Digit 1,933 = 6
φ — Golden ratio (φ)
Digit 1,933 = 9
√2 — Pythagoras's (√2)
Digit 1,933 = 9
ln 2 — Natural log of 2
Digit 1,933 = 2
γ — Euler-Mascheroni (γ)
Digit 1,933 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,931 (gap of 2)
  • Next prime: 1,949 (gap of 16)

Pair status: twin with 1931.

Unicode codepoint
ލ
Thaana Letter Laamu
U+078D
Other letter (Lo)

UTF-8 encoding: DE 8D (2 bytes).

Hex color
#00078D
RGB(0, 7, 141)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.141.

Address
0.0.7.141
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.7.141

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

Musical pitch

Heard as a frequency, 1,933 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): B6 (1975.5 Hz, -38¢)
  • Scientific pitch (C4 = 256 Hz): B6 (1933.1 Hz, exact)
  • Baroque pitch (A4 = 415 Hz): C7 (1974.1 Hz, -36¢)
Position in π

The digit sequence 1933 first appears in π at position 13,811 of the decimal expansion (the 13,811ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.