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Number

96

96 is a composite number, even, a calendar year.

96 (ninety-six) is an even 2-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 3. Its proper divisors sum to 156, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is XCVI and in binary, 1100000.

Abundant Number Arithmetic Number Evil Number Flippable Highly Abundant Octagonal Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number Strobogrammatic Year

Interestingness

9 notable facts · grade A
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Historical context — 96 AD

Calendar year

AD 96 (XCVI) was a leap year starting on Friday of the Julian calendar.

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

Historical context — 96 BC

Calendar year

Year 96 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
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Sunday
January 1, 96
Ended on
Monday
December 31, 96
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
1,930
1930 years before 2026.

In other calendars

Hebrew
3856 / 3857 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Fire zodiac:Monkey
Sexagenary cycle position 33 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
639 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
88 / 89 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
18 / 17 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
2
Digit sum
15
Digit product
54
Digital root
6
Palindrome
No
Bit width
7 bits
Reversed
69
Recamán's sequence
a(395) = 96
Square (n²)
9,216
Cube (n³)
884,736
Divisor count
12
σ(n) — sum of divisors
252
φ(n) — Euler's totient
32
Sum of prime factors
13

Primality

Prime factorization: 2 5 × 3

Nearest primes: 89 (−7) · 97 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 (half) · 96
Aliquot sum (sum of proper divisors): 156
Factor pairs (a × b = 96)
1 × 96
2 × 48
3 × 32
4 × 24
6 × 16
8 × 12
First multiples
96 · 192 (double) · 288 · 384 · 480 · 576 · 672 · 768 · 864 · 960

Sums & aliquot sequence

As consecutive integers: 31 + 32 + 33
Aliquot sequence: 96 156 236 184 176 196 203 37 1 0 — terminates at zero

Continued fraction of √n

√96 = [9; (1, 3, 1, 18)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
ninety-six
Ordinal
96th
Roman numeral
XCVI
Binary
1100000
Octal
140
Hexadecimal
0x60
Base64
YA==
One's complement
159 (8-bit)
Scientific notation
9.6 × 10¹
As a duration
96 s = 1 minute, 36 seconds
In other bases
ternary (3) 10120
quaternary (4) 1200
quinary (5) 341
senary (6) 240
septenary (7) 165
nonary (9) 116
undecimal (11) 88
duodecimal (12) 80
tridecimal (13) 75
tetradecimal (14) 6c
pentadecimal (15) 66

As an angle

96°
96° ≈ 1.676 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
ϟϛʹ
Mayan (base 20)
𝋤·𝋰
Chinese
九十六
Chinese (financial)
玖拾陸
In other modern scripts
Eastern Arabic ٩٦ Devanagari ९६ Bengali ৯৬ Tamil ௯௬ Thai ๙๖ Tibetan ༩༦ Khmer ៩៦ Lao ໙໖ Burmese ၉၆

Digit at this position in famous constants

π — Pi (π)
Digit 96 = 1
e — Euler's number (e)
Digit 96 = 6
φ — Golden ratio (φ)
Digit 96 = 9
√2 — Pythagoras's (√2)
Digit 96 = 4
ln 2 — Natural log of 2
Digit 96 = 1
γ — Euler-Mascheroni (γ)
Digit 96 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 96, here are decompositions:

  • 7 + 89 = 96
  • 13 + 83 = 96
  • 17 + 79 = 96
  • 23 + 73 = 96
  • 29 + 67 = 96
  • 37 + 59 = 96
  • 43 + 53 = 96
ASCII character

As an ASCII codepoint, 96 is `. Printable ASCII character `.

Hex color
#000060
RGB(0, 0, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.96.

Address
0.0.0.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.96

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

US numbered highway

Matches numbered highway designation:

  • I-96 — Grand Rapids to Detroit, MI.
Musical pitch

Heard as a frequency, 96 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G2 (98 Hz, -36¢)
  • Scientific pitch (C4 = 256 Hz): G2 (95.9 Hz, +2¢)
  • Baroque pitch (A4 = 415 Hz): G♯2 (97.9 Hz, -34¢)
(very low — many laptop and phone speakers can't reproduce it)

As a MIDI note number, 96 is C7 (2093 Hz at concert pitch).

Atomic number

On the periodic table, atomic number 96 is Curium (Cm) — period 7.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.