Number

162

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

162 (one hundred sixty-two) is an even 3-digit number. It is a composite number with 10 divisors, and factors as 2 × 3⁴. Its proper divisors sum to 201, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CLXII and in binary, 10100010.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174

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Historical context — 162 AD

Calendar year

Year 162 (CLXII) was a common year starting on Thursday of the Julian calendar.

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

Historical context — 162 BC

Calendar year

Year 162 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: 52
Started on: Friday
January 1, 162
Ended on: Friday
December 31, 162
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 160s
160–169
Century: 2nd century
101–200
Millennium: 1st millennium
1–1000
Years ago: 1,864
1864 years before 2026.

In other calendars

Hebrew: 3922 / 3923 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Tiger
Sexagenary cycle position 39 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 705 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 154 / 155 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 84 / 83 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 9
Digit product: 12
Digital root: 9
Palindrome: No
Bit width: 8 bits
Reversed: 261
Recamán's sequence: a(96) = 162
Square (n²): 26,244
Cube (n³): 4,251,528
Divisor count: 10
σ(n) — sum of divisors: 363
φ(n) — Euler's totient: 54
Sum of prime factors: 14

Primality

Prime factorization: 2 × 3 ⁴

Nearest primes: 157 (−5) · 163 (+1)

Divisors & multiples

All divisors (10)

1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 81 (half) · 162

Aliquot sum (sum of proper divisors): 201

Factor pairs (a × b = 162)

1 × 162

2 × 81

3 × 54

6 × 27

9 × 18

First multiples

162 · 324 (double) · 486 · 648 · 810 · 972 · 1,134 · 1,296 · 1,458 · 1,620

Sums & aliquot sequence

As a sum of two squares: 9² + 9²

As consecutive integers: 53 + 54 + 55 39 + 40 + 41 + 42 14 + 15 + … + 22 8 + 9 + … + 19

Aliquot sequence: 162 → 201 → 71 → 1 → 0 — terminates at zero

Continued fraction of √n

√162 = [12; (1, 2, 1, 2, 12, 2, 1, 2, 1, 24)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one hundred sixty-two
Ordinal: 162nd
Roman numeral: CLXII
Binary: 10100010
Octal: 242
Hexadecimal: 0xA2
Base64: og==
One's complement: 93 (8-bit)
Scientific notation: 1.62 × 10²
As a duration: 162 s = 2 minutes, 42 seconds

In other bases

ternary (3) 20000

quaternary (4) 2202

quinary (5) 1122

senary (6) 430

septenary (7) 321

nonary (9) 200

undecimal (11) 138

duodecimal (12) 116

tridecimal (13) c6

tetradecimal (14) b8

pentadecimal (15) ac

Palindromic in base 8

As an angle

162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ρξβʹ
Mayan (base 20): 𝋨·𝋢
Chinese: 一百六十二
Chinese (financial): 壹佰陸拾貳

In other modern scripts

Eastern Arabic ١٦٢ Devanagari १६२ Bengali ১৬২ Tamil ௧௬௨ Thai ๑๖๒ Tibetan ༡༦༢ Khmer ១៦២ Lao ໑໖໒ Burmese ၁၆၂

Digit at this position in famous constants

π — Pi (π): Digit 162 = 8
e — Euler's number (e): Digit 162 = 3
φ — Golden ratio (φ): Digit 162 = 8
√2 — Pythagoras's (√2): Digit 162 = 2
ln 2 — Natural log of 2: Digit 162 = 2
γ — Euler-Mascheroni (γ): Digit 162 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 162, here are decompositions:

5 + 157 = 162
11 + 151 = 162
13 + 149 = 162
23 + 139 = 162
31 + 131 = 162
53 + 109 = 162
59 + 103 = 162
61 + 101 = 162

Showing the first eight; more decompositions exist.

Unicode codepoint

Cent Sign

U+00A2

Currency symbol (Sc)

UTF-8 encoding: C2 A2 (2 bytes).

Lookup U+00A2 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0000A2

RGB(0, 0, 162)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.162.

Address: 0.0.0.162
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.162

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

Musical pitch

Heard as a frequency, 162 Hz is closest to:

Concert pitch (A4 = 440 Hz): E3 (164.8 Hz, -30¢)
Scientific pitch (C4 = 256 Hz): E3 (161.3 Hz, +8¢)
Baroque pitch (A4 = 415 Hz): F3 (164.7 Hz, -29¢)

Food additive (E-number)

On an ingredients label, E162 is Beetroot red (betanin), a food colour.

E-number reference (Wikipedia) ↗