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Number

33

33 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Palindrome Pernicious Number Recamán's Sequence Repdigit Semiprime Squarefree Year

Historical context — 33 AD

Calendar year

AD 33 (XXXIII) was a common year starting on Thursday of the Julian calendar.

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Historical context — 33 BC

Calendar year

Year 33 BC was either a common year starting on Saturday, Sunday or Monday or a leap year starting on Sunday of the Julian calendar and a leap year starting on Saturday of the Proleptic Julian calendar.

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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: Saturday
January 1, 33
Ended on: Saturday
December 31, 33
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 30s
30–39
Century: 1st century
1–100
Millennium: 1st millennium
1–1000
Years ago: 1,993
1993 years before 2026.

In other calendars

Hebrew: 3793 / 3794 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Snake
Sexagenary cycle position 30 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 576 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 25 / 26 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): -45 / -46 Saka
Indian national calendar; year starts in March.

Cultural significance

Christian significant

Traditional age of Jesus at his crucifixion.

Freemasonry significant

Highest degree in the Scottish Rite of Freemasonry.

Sourced from Wikipedia (Numerology, Chinese numerology, Gematria, and per-culture articles).

Properties

Parity: Odd
Digit count: 2
Digit sum: 6
Digit product: 9
Digital root: 6
Palindrome: Yes
Bit width: 6 bits
Recamán's sequence: a(50) = 33
Square (n²): 1,089
Cube (n³): 35,937
Divisor count: 4
σ(n) — sum of divisors: 48
φ(n) — Euler's totient: 20
Sum of prime factors: 14

Primality

Prime factorization: 3 × 11

Nearest primes: 31 (−2) · 37 (+4)

Divisors & multiples

All divisors (4)

1 · 3 · 11 · 33

Aliquot sum (sum of proper divisors): 15

Factor pairs (a × b = 33)

1 × 33

3 × 11

First multiples

33 · 66 (double) · 99 · 132 · 165 · 198 · 231 · 264 · 297 · 330

Sums & aliquot sequence

As consecutive integers: 16 + 17 10 + 11 + 12 3 + 4 + 5 + 6 + 7 + 8

Aliquot sequence: 33 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Representations

In words: thirty-three
Ordinal: 33rd
Roman numeral: XXXIII
Binary: 100001
Octal: 41
Hexadecimal: 0x21
Base64: IQ==
One's complement: 222 (8-bit)

In other bases

ternary (3) 1020

quaternary (4) 201

quinary (5) 113

senary (6) 53

septenary (7) 45

nonary (9) 36

undecimal (11) 30

duodecimal (12) 29

tridecimal (13) 27

tetradecimal (14) 25

pentadecimal (15) 23

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): λγʹ
Mayan (base 20): 𝋡·𝋭
Chinese: 三十三
Chinese (financial): 參拾參

In other modern scripts

Eastern Arabic ٣٣ Devanagari ३३ Bengali ৩৩ Tamil ௩௩ Thai ๓๓ Tibetan ༣༣ Khmer ៣៣ Lao ໓໓ Burmese ၃၃

Digit at this position in famous constants

π — Pi (π): Digit 33 = 0
e — Euler's number (e): Digit 33 = 6
φ — Golden ratio (φ): Digit 33 = 3
√2 — Pythagoras's (√2): Digit 33 = 9
ln 2 — Natural log of 2: Digit 33 = 7
γ — Euler-Mascheroni (γ): Digit 33 = 0

Also seen as

ASCII character

As an ASCII codepoint, 33 is !. Printable ASCII character !.

Hex color

#000021

RGB(0, 0, 33)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.33.

Address: 0.0.0.33
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.33

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