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Number

176

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

176 (one hundred seventy-six) is an even 3-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 11. Its proper divisors sum to 196, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CLXXVI and in binary, 10110000.

Abundant Number Cake Number Gapful Number Happy Number Octagonal Odious Number Partition Number Pentagonal Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number Year

Interestingness

10 notable facts · grade A
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Historical context — 176 AD

Calendar year

Year 176 (CLXXVI) was a leap year starting on Sunday of the Julian calendar.

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

Historical context — 176 BC

Calendar year

Year 176 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
Monday
January 1, 176
Ended on
Tuesday
December 31, 176
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
170s
170–179
Century
2nd century
101–200
Millennium
1st millennium
1–1000
Years ago
1,850
1850 years before 2026.

In other calendars

Hebrew
3936 / 3937 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Fire zodiac:Dragon
Sexagenary cycle position 53 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
719 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
168 / 169 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
98 / 97 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
14
Digit product
42
Digital root
5
Palindrome
No
Bit width
8 bits
Reversed
671
Recamán's sequence
a(315) = 176
Square (n²)
30,976
Cube (n³)
5,451,776
Divisor count
10
σ(n) — sum of divisors
372
φ(n) — Euler's totient
80
Sum of prime factors
19

Primality

Prime factorization: 2 4 × 11

Nearest primes: 173 (−3) · 179 (+3)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 11 · 16 · 22 · 44 · 88 (half) · 176
Aliquot sum (sum of proper divisors): 196
Factor pairs (a × b = 176)
1 × 176
2 × 88
4 × 44
8 × 22
11 × 16
First multiples
176 · 352 (double) · 528 · 704 · 880 · 1,056 · 1,232 · 1,408 · 1,584 · 1,760

Sums & aliquot sequence

As consecutive integers: 11 + 12 + … + 21
Aliquot sequence: 176 196 203 37 1 0 — terminates at zero

Continued fraction of √n

√176 = [13; (3, 1, 3, 26)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy-six
Ordinal
176th
Roman numeral
CLXXVI
Binary
10110000
Octal
260
Hexadecimal
0xB0
Base64
sA==
One's complement
79 (8-bit)
Scientific notation
1.76 × 10²
As a duration
176 s = 2 minutes, 56 seconds
In other bases
ternary (3) 20112
quaternary (4) 2300
quinary (5) 1201
senary (6) 452
septenary (7) 341
nonary (9) 215
undecimal (11) 150
duodecimal (12) 128
tridecimal (13) 107
tetradecimal (14) c8
pentadecimal (15) bb

As an angle

176°
176° ≈ 3.072 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
ροϛʹ
Mayan (base 20)
𝋨·𝋰
Chinese
一百七十六
Chinese (financial)
壹佰柒拾陸
In other modern scripts
Eastern Arabic ١٧٦ Devanagari १७६ Bengali ১৭৬ Tamil ௧௭௬ Thai ๑๗๖ Tibetan ༡༧༦ Khmer ១៧៦ Lao ໑໗໖ Burmese ၁၇၆

Digit at this position in famous constants

π — Pi (π)
Digit 176 = 1
e — Euler's number (e)
Digit 176 = 7
φ — Golden ratio (φ)
Digit 176 = 9
√2 — Pythagoras's (√2)
Digit 176 = 7
ln 2 — Natural log of 2
Digit 176 = 1
γ — Euler-Mascheroni (γ)
Digit 176 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 176, here are decompositions:

  • 3 + 173 = 176
  • 13 + 163 = 176
  • 19 + 157 = 176
  • 37 + 139 = 176
  • 67 + 109 = 176
  • 73 + 103 = 176
  • 79 + 97 = 176
Unicode codepoint
°
Degree Sign
U+00B0
Other symbol (So)

UTF-8 encoding: C2 B0 (2 bytes).

Hex color
#0000B0
RGB(0, 0, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.176.

Address
0.0.0.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.176

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

Musical pitch

Heard as a frequency, 176 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F3 (174.6 Hz, +14¢)
  • Scientific pitch (C4 = 256 Hz): F♯3 (181 Hz, -49¢ — about midway to F3)
  • Baroque pitch (A4 = 415 Hz): F♯3 (174.5 Hz, +15¢)

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.