Number

962

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

Deficient Number Descending Digits Odious Number Pernicious Number Recamán's Sequence Self Number Sphenic Number Squarefree Year

Notable events — 962 AD

Feb 2 Otto I is crowned Holy Roman Emperor, traditional start of the Empire.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Historical context — 962 BC

Decade

The 960s BC is a decade that lasted from 969 BC to 960 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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, 962
Ended on: Friday
December 31, 962
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 960s
960–969
Century: 10th century
901–1000
Millennium: 1st millennium
1–1000
Years ago: 1,064
1064 years before 2026.

In other calendars

Hebrew: 4722 / 4723 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 350 / 351 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Dog
Sexagenary cycle position 59 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1505 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 340 / 341 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 954 / 955 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 884 / 883 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 17
Digit product: 108
Digital root: 8
Palindrome: No
Bit width: 10 bits
Reversed: 269
Recamán's sequence: a(675) = 962
Square (n²): 925,444
Cube (n³): 890,277,128
Divisor count: 8
σ(n) — sum of divisors: 1,596
φ(n) — Euler's totient: 432
Sum of prime factors: 52

Primality

Prime factorization: 2 × 13 × 37

Nearest primes: 953 (−9) · 967 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 13 · 26 · 37 · 74 · 481 (half) · 962

Aliquot sum (sum of proper divisors): 634

Factor pairs (a × b = 962)

1 × 962

2 × 481

13 × 74

26 × 37

First multiples

962 · 1,924 (double) · 2,886 · 3,848 · 4,810 · 5,772 · 6,734 · 7,696 · 8,658 · 9,620

Sums & aliquot sequence

As a sum of two squares: 1² + 31² = 11² + 29²

As consecutive integers: 239 + 240 + 241 + 242 68 + 69 + … + 80 8 + 9 + … + 44

Aliquot sequence: 962 → 634 → 320 → 442 → 314 → 160 → 218 → 112 → 136 → 134 → 70 → 74 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Representations

In words: nine hundred sixty-two
Ordinal: 962nd
Roman numeral: CMLXII
Binary: 1111000010
Octal: 1702
Hexadecimal: 0x3C2
Base64: A8I=
One's complement: 64,573 (16-bit)

In other bases

ternary (3) 1022122

quaternary (4) 33002

quinary (5) 12322

senary (6) 4242

septenary (7) 2543

nonary (9) 1278

undecimal (11) 7a5

duodecimal (12) 682

tridecimal (13) 590

tetradecimal (14) 4ca

pentadecimal (15) 442

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ϡξβʹ
Mayan (base 20): 𝋢·𝋨·𝋢
Chinese: 九百六十二
Chinese (financial): 玖佰陸拾貳

In other modern scripts

Eastern Arabic ٩٦٢ Devanagari ९६२ Bengali ৯৬২ Tamil ௯௬௨ Thai ๙๖๒ Tibetan ༩༦༢ Khmer ៩៦២ Lao ໙໖໒ Burmese ၉၆၂

Digit at this position in famous constants

π — Pi (π): Digit 962 = 1
e — Euler's number (e): Digit 962 = 1
φ — Golden ratio (φ): Digit 962 = 0
√2 — Pythagoras's (√2): Digit 962 = 6
ln 2 — Natural log of 2: Digit 962 = 1
γ — Euler-Mascheroni (γ): Digit 962 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 962, here are decompositions:

43 + 919 = 962
79 + 883 = 962
103 + 859 = 962
109 + 853 = 962
139 + 823 = 962
151 + 811 = 962
193 + 769 = 962
211 + 751 = 962

Showing the first eight; more decompositions exist.

Unicode codepoint

Greek Small Letter Final Sigma

U+03C2

Lowercase letter (Ll)

UTF-8 encoding: CF 82 (2 bytes).

Lookup U+03C2 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0003C2

RGB(0, 3, 194)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.194.

Address: 0.0.3.194
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.194

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