Number

936

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

936 (nine hundred thirty-six) is an even 3-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 13. Its proper divisors sum to 1,794, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CMXXXVI and in binary, 1110101000.

Abundant Number Harshad / Niven Octagonal Odious Number Pentagonal Pyramidal Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number Year

Interestingness

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7 notable facts · grade B

924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948

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Historical context — 936 AD

Calendar year

Year 936 (CMXXXVI) 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 — 936 BC

Decade

The 930s BC is a decade that lasted from 939 BC to 930 BC.

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, 936
Ended on: Monday
December 31, 936
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 930s
930–939
Century: 10th century
901–1000
Millennium: 1st millennium
1–1000
Years ago: 1,090
1090 years before 2026.

In other calendars

Hebrew: 4696 / 4697 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 324 / 325 AH
Lunar calendar; year spans differ from Gregorian.
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: 1479 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 314 / 315 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 928 / 929 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 858 / 857 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 18
Digit product: 162
Digital root: 9
Palindrome: No
Bit width: 10 bits
Reversed: 639
Recamán's sequence: a(623) = 936
Square (n²): 876,096
Cube (n³): 820,025,856
Divisor count: 24
σ(n) — sum of divisors: 2,730
φ(n) — Euler's totient: 288
Sum of prime factors: 25

Primality

Prime factorization: 2 ³ × 3 ² × 13

Nearest primes: 929 (−7) · 937 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 18 · 24 · 26 · 36 · 39 · 52 · 72 · 78 · 104 · 117 · 156 · 234 · 312 · 468 (half) · 936

Aliquot sum (sum of proper divisors): 1,794

Factor pairs (a × b = 936)

1 × 936

2 × 468

3 × 312

4 × 234

6 × 156

8 × 117

9 × 104

12 × 78

13 × 72

18 × 52

24 × 39

26 × 36

First multiples

936 · 1,872 (double) · 2,808 · 3,744 · 4,680 · 5,616 · 6,552 · 7,488 · 8,424 · 9,360

Sums & aliquot sequence

As a sum of two squares: 6² + 30²

As consecutive integers: 311 + 312 + 313 100 + 101 + … + 108 66 + 67 + … + 78 51 + 52 + … + 66

Aliquot sequence: 936 → 1,794 → 2,238 → 2,250 → 3,834 → 4,806 → 5,994 → 7,800 → 18,240 → 42,720 → 93,360 → 196,800 → 464,616 → 845,784 → 1,583,136 → 3,134,304 → 5,779,692 — unresolved within range

Continued fraction of √n

√936 = [30; (1, 1, 2, 6, 2, 1, 1, 60)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: nine hundred thirty-six
Ordinal: 936th
Roman numeral: CMXXXVI
Binary: 1110101000
Octal: 1650
Hexadecimal: 0x3A8
Base64: A6g=
One's complement: 64,599 (16-bit)
Scientific notation: 9.36 × 10²
As a duration: 936 s = 15 minutes, 36 seconds

In other bases

ternary (3) 1021200

quaternary (4) 32220

quinary (5) 12221

senary (6) 4200

septenary (7) 2505

nonary (9) 1250

undecimal (11) 781

duodecimal (12) 660

tridecimal (13) 570

tetradecimal (14) 4ac

pentadecimal (15) 426

Palindromic in base 5

As an angle

936° = 2 × 360° + 216°

216° ≈ 3.77 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ϡλϛʹ
Mayan (base 20): 𝋢·𝋦·𝋰
Chinese: 九百三十六
Chinese (financial): 玖佰參拾陸

In other modern scripts

Eastern Arabic ٩٣٦ Devanagari ९३६ Bengali ৯৩৬ Tamil ௯௩௬ Thai ๙๓๖ Tibetan ༩༣༦ Khmer ៩៣៦ Lao ໙໓໖ Burmese ၉၃၆

Digit at this position in famous constants

π — Pi (π): Digit 936 = 5
e — Euler's number (e): Digit 936 = 0
φ — Golden ratio (φ): Digit 936 = 1
√2 — Pythagoras's (√2): Digit 936 = 3
ln 2 — Natural log of 2: Digit 936 = 4
γ — Euler-Mascheroni (γ): Digit 936 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 936, here are decompositions:

7 + 929 = 936
17 + 919 = 936
29 + 907 = 936
53 + 883 = 936
59 + 877 = 936
73 + 863 = 936
79 + 857 = 936
83 + 853 = 936

Showing the first eight; more decompositions exist.

Unicode codepoint

Greek Capital Letter Psi

U+03A8

Uppercase letter (Lu)

UTF-8 encoding: CE A8 (2 bytes).

Lookup U+03A8 on Compart ↗ Lookup on FileFormat.Info ↗

Code page identifier

Code page 936 is GBK (Simplified Chinese) — Standard for Simplified Chinese.

Code pages are integer identifiers used by Windows and other systems to refer to specific character encodings.

Microsoft code page reference ↗

Hex color

#0003A8

RGB(0, 3, 168)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.168.

Address: 0.0.3.168
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.168

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

NANP area code 936

The number 936 is an active NANP area code (North American Numbering Plan).

Primary area: Lufkin / Huntsville
Region: Texas
Country: United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 936 ↗

Musical pitch

Heard as a frequency, 936 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯5 (932.3 Hz, +7¢)
Scientific pitch (C4 = 256 Hz): A♯5 (912.3 Hz, +44¢)
Baroque pitch (A4 = 415 Hz): B5 (931.6 Hz, +8¢)