Number

93

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

93 (ninety-three) is an odd 2-digit number. It is a composite number with 4 divisors, and factors as 3 × 31. Written other ways, in Roman numerals it is XCIII and in binary, 1011101.

Arithmetic Number Binary Palindrome Cake Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Interestingness

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7 notable facts · grade B

81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105

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Historical context — 93 AD

Calendar year

AD 93 (XCIII) was a common year starting on Tuesday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 93 BC

Calendar year

Year 93 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 93
Ended on: Thursday
December 31, 93
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 90s
90–99
Century: 1st century
1–100
Millennium: 1st millennium
1–1000
Years ago: 1,933
1933 years before 2026.

In other calendars

Hebrew: 3853 / 3854 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: 636 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 85 / 86 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 15 / 14 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 2
Digit sum: 12
Digit product: 27
Digital root: 3
Palindrome: No
Bit width: 7 bits
Reversed: 39
Recamán's sequence: a(401) = 93
Square (n²): 8,649
Cube (n³): 804,357
Divisor count: 4
σ(n) — sum of divisors: 128
φ(n) — Euler's totient: 60
Sum of prime factors: 34

Primality

Prime factorization: 3 × 31

Nearest primes: 89 (−4) · 97 (+4)

Divisors & multiples

All divisors (4)

1 · 3 · 31 · 93

Aliquot sum (sum of proper divisors): 35

Factor pairs (a × b = 93)

1 × 93

3 × 31

First multiples

93 · 186 (double) · 279 · 372 · 465 · 558 · 651 · 744 · 837 · 930

Sums & aliquot sequence

As consecutive integers: 46 + 47 30 + 31 + 32 13 + 14 + 15 + 16 + 17 + 18

Aliquot sequence: 93 → 35 → 13 → 1 → 0 — terminates at zero

Continued fraction of √n

√93 = [9; (1, 1, 1, 4, 6, 4, 1, 1, 1, 18)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: ninety-three
Ordinal: 93rd
Roman numeral: XCIII
Binary: 1011101
Octal: 135
Hexadecimal: 0x5D
Base64: XQ==
One's complement: 162 (8-bit)
Scientific notation: 9.3 × 10¹
As a duration: 93 s = 1 minute, 33 seconds

In other bases

ternary (3) 10110

quaternary (4) 1131

quinary (5) 333

senary (6) 233

septenary (7) 162

nonary (9) 113

undecimal (11) 85

duodecimal (12) 79

tridecimal (13) 72

tetradecimal (14) 69

pentadecimal (15) 63

Palindromic in base 2, base 5

As an angle

93°

93° ≈ 1.623 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ϟγʹ
Mayan (base 20): 𝋤·𝋭
Chinese: 九十三
Chinese (financial): 玖拾參

In other modern scripts

Eastern Arabic ٩٣ Devanagari ९३ Bengali ৯৩ Tamil ௯௩ Thai ๙๓ Tibetan ༩༣ Khmer ៩៣ Lao ໙໓ Burmese ၉၃

Digit at this position in famous constants

π — Pi (π): Digit 93 = 4
e — Euler's number (e): Digit 93 = 2
φ — Golden ratio (φ): Digit 93 = 8
√2 — Pythagoras's (√2): Digit 93 = 2
ln 2 — Natural log of 2: Digit 93 = 9
γ — Euler-Mascheroni (γ): Digit 93 = 9

Also seen as

ASCII character

As an ASCII codepoint, 93 is ]. Printable ASCII character ].

Hex color

#00005D

RGB(0, 0, 93)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.93.

Address: 0.0.0.93
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.93

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

US numbered highway

Matches numbered highway designation:

I-93 — Canton, MA to St. Johnsbury, VT.

Interstate 93 on Wikipedia ↗

Musical pitch

Heard as a frequency, 93 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯2 (92.5 Hz, +9¢)
Scientific pitch (C4 = 256 Hz): F♯2 (90.5 Hz, +47¢ — about midway to G2)
Baroque pitch (A4 = 415 Hz): G2 (92.4 Hz, +11¢)

(very low — many laptop and phone speakers can't reproduce it)

As a MIDI note number, 93 is A6 (1760 Hz at concert pitch).

Atomic number

On the periodic table, atomic number 93 is Neptunium (Np) — period 7.

Neptunium on Wikipedia ↗