Number

946

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

Arithmetic Number Deficient Number Evil Number Happy Number Hexagonal Recamán's Sequence Sphenic Number Squarefree Triangular Year

Historical context — 946 AD

Calendar year

Year 946 (CMXLVI) was a common year starting on Thursday of the Julian calendar.

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Historical context — 946 BC

Decade

The 940s BC is a decade that lasted from 949 BC to 940 BC.

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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: Saturday
January 1, 946
Ended on: Saturday
December 31, 946
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 940s
940–949
Century: 10th century
901–1000
Millennium: 1st millennium
1–1000
Years ago: 1,080
1080 years before 2026.

In other calendars

Hebrew: 4706 / 4707 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 334 / 335 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Horse
Sexagenary cycle position 43 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1489 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 324 / 325 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 938 / 939 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 868 / 867 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 19
Digit product: 216
Digital root: 1
Palindrome: No
Bit width: 10 bits
Reversed: 649
Recamán's sequence: a(643) = 946
Square (n²): 894,916
Cube (n³): 846,590,536
Divisor count: 8
σ(n) — sum of divisors: 1,584
φ(n) — Euler's totient: 420
Sum of prime factors: 56

Primality

Prime factorization: 2 × 11 × 43

Nearest primes: 941 (−5) · 947 (+1)

Divisors & multiples

All divisors (8)

1 · 2 · 11 · 22 · 43 · 86 · 473 (half) · 946

Aliquot sum (sum of proper divisors): 638

Factor pairs (a × b = 946)

1 × 946

2 × 473

11 × 86

22 × 43

First multiples

946 · 1,892 (double) · 2,838 · 3,784 · 4,730 · 5,676 · 6,622 · 7,568 · 8,514 · 9,460

Sums & aliquot sequence

As consecutive integers: 235 + 236 + 237 + 238 81 + 82 + … + 91 1 + 2 + … + 43

Aliquot sequence: 946 → 638 → 442 → 314 → 160 → 218 → 112 → 136 → 134 → 70 → 74 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Representations

In words: nine hundred forty-six
Ordinal: 946th
Roman numeral: CMXLVI
Binary: 1110110010
Octal: 1662
Hexadecimal: 0x3B2
Base64: A7I=
One's complement: 64,589 (16-bit)

In other bases

ternary (3) 1022001

quaternary (4) 32302

quinary (5) 12241

senary (6) 4214

septenary (7) 2521

nonary (9) 1261

undecimal (11) 790

duodecimal (12) 66a

tridecimal (13) 57a

tetradecimal (14) 4b8

pentadecimal (15) 431

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ϡμϛʹ
Mayan (base 20): 𝋢·𝋧·𝋦
Chinese: 九百四十六
Chinese (financial): 玖佰肆拾陸

In other modern scripts

Eastern Arabic ٩٤٦ Devanagari ९४६ Bengali ৯৪৬ Tamil ௯௪௬ Thai ๙๔๖ Tibetan ༩༤༦ Khmer ៩៤៦ Lao ໙໔໖ Burmese ၉၄၆

Digit at this position in famous constants

π — Pi (π): Digit 946 = 1
e — Euler's number (e): Digit 946 = 3
φ — Golden ratio (φ): Digit 946 = 8
√2 — Pythagoras's (√2): Digit 946 = 1
ln 2 — Natural log of 2: Digit 946 = 1
γ — Euler-Mascheroni (γ): Digit 946 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 946, here are decompositions:

5 + 941 = 946
17 + 929 = 946
59 + 887 = 946
83 + 863 = 946
89 + 857 = 946
107 + 839 = 946
137 + 809 = 946
149 + 797 = 946

Showing the first eight; more decompositions exist.

Unicode codepoint

Greek Small Letter Beta

U+03B2

Lowercase letter (Ll)

UTF-8 encoding: CE B2 (2 bytes).

Lookup U+03B2 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0003B2

RGB(0, 3, 178)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.178.

Address: 0.0.3.178
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.178

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