Number

953

953 is a prime, odd, a calendar year.

953 (nine hundred fifty-three) is an odd 3-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is CMLIII and in binary, 1110111001.

Arithmetic Number Chen Prime Cube-Free Deficient Number Descending Digits Emirp Left-Truncatable Prime Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree Year

Interestingness

★ ★ ★ ★ ★

12 notable facts · grade A

941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965

less more

Historical context — 953 AD

Calendar year

Year 953 (CMLIII) was a common year starting on Saturday of the Julian calendar.

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

Historical context — 953 BC

Decade

The 950s BC is a decade that lasted from 959 BC to 950 BC.

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: Monday
January 1, 953
Ended on: Monday
December 31, 953
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 950s
950–959
Century: 10th century
901–1000
Millennium: 1st millennium
1–1000
Years ago: 1,073
1073 years before 2026.

In other calendars

Hebrew: 4713 / 4714 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 341 / 342 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Ox
Sexagenary cycle position 50 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1496 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 331 / 332 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 945 / 946 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 875 / 874 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 17
Digit product: 135
Digital root: 8
Palindrome: No
Bit width: 10 bits
Reversed: 359
Recamán's sequence: a(657) = 953
Square (n²): 908,209
Cube (n³): 865,523,177
Divisor count: 2
σ(n) — sum of divisors: 954
φ(n) — Euler's totient: 952

Primality

953 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 953

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 953)

1 × 953

First multiples

953 · 1,906 (double) · 2,859 · 3,812 · 4,765 · 5,718 · 6,671 · 7,624 · 8,577 · 9,530

Sums & aliquot sequence

As a sum of two squares: 13² + 28²

As consecutive integers: 476 + 477

Continued fraction of √n

√953 = [30; (1, 6, 1, 2, 1, 3, 8, 1, 1, 4, 4, 1, 1, 8, 3, 1, 2, 1, 6, 1, 60)]

Period length 21 — the block in parentheses repeats forever.

Representations

In words: nine hundred fifty-three
Ordinal: 953rd
Roman numeral: CMLIII
Binary: 1110111001
Octal: 1671
Hexadecimal: 0x3B9
Base64: A7k=
One's complement: 64,582 (16-bit)
Scientific notation: 9.53 × 10²
As a duration: 953 s = 15 minutes, 53 seconds

In other bases

ternary (3) 1022022

quaternary (4) 32321

quinary (5) 12303

senary (6) 4225

septenary (7) 2531

nonary (9) 1268

undecimal (11) 797

duodecimal (12) 675

tridecimal (13) 584

tetradecimal (14) 4c1

pentadecimal (15) 438

Palindromic in base 11

As an angle

953° = 2 × 360° + 233°

233° ≈ 4.067 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ϡνγʹ
Mayan (base 20): 𝋢·𝋧·𝋭
Chinese: 九百五十三
Chinese (financial): 玖佰伍拾參

In other modern scripts

Eastern Arabic ٩٥٣ Devanagari ९५३ Bengali ৯৫৩ Tamil ௯௫௩ Thai ๙๕๓ Tibetan ༩༥༣ Khmer ៩៥៣ Lao ໙໕໓ Burmese ၉၅၃

Digit at this position in famous constants

π — Pi (π): Digit 953 = 8
e — Euler's number (e): Digit 953 = 1
φ — Golden ratio (φ): Digit 953 = 7
√2 — Pythagoras's (√2): Digit 953 = 1
ln 2 — Natural log of 2: Digit 953 = 8
γ — Euler-Mascheroni (γ): Digit 953 = 5

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 947 (gap of 6)
Next prime: 967 (gap of 14)

Pair status: sexy with 947.

Unicode codepoint

Greek Small Letter Iota

U+03B9

Lowercase letter (Ll)

UTF-8 encoding: CE B9 (2 bytes).

Lookup U+03B9 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0003B9

RGB(0, 3, 185)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.185.

Address: 0.0.3.185
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.185

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

Musical pitch

Heard as a frequency, 953 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯5 (932.3 Hz, +38¢)
Scientific pitch (C4 = 256 Hz): B5 (966.5 Hz, -24¢)
Baroque pitch (A4 = 415 Hz): B5 (931.6 Hz, +39¢)