Number

653

653 is a prime, odd, a calendar year.

653 (six 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 DCLIII and in binary, 1010001101.

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

Interestingness

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13 notable facts · grade A

641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665

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Historical context — 653 AD

Calendar year

Year 653 (DCLIII) was a common year starting on Tuesday of the Julian calendar.

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

Historical context — 653 BC

Calendar year

The year 653 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: Saturday
January 1, 653
Ended on: Saturday
December 31, 653
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 650s
650–659
Century: 7th century
601–700
Millennium: 1st millennium
1–1000
Years ago: 1,373
1373 years before 2026.

In other calendars

Hebrew: 4413 / 4414 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 32 / 33 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: 1196 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 31 / 32 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 645 / 646 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 575 / 574 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 14
Digit product: 90
Digital root: 5
Palindrome: No
Bit width: 10 bits
Reversed: 356
Recamán's sequence: a(2,318) = 653
Square (n²): 426,409
Cube (n³): 278,445,077
Divisor count: 2
σ(n) — sum of divisors: 654
φ(n) — Euler's totient: 652

Primality

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

Divisors & multiples

All divisors (2)

1 · 653

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 653)

1 × 653

First multiples

653 · 1,306 (double) · 1,959 · 2,612 · 3,265 · 3,918 · 4,571 · 5,224 · 5,877 · 6,530

Sums & aliquot sequence

As a sum of two squares: 13² + 22²

As consecutive integers: 326 + 327

Continued fraction of √n

√653 = [25; (1, 1, 4, 7, 12, 1, 1, 1, 3, 3, 1, 1, 1, 12, 7, 4, 1, 1, 50)]

Period length 19 — the block in parentheses repeats forever.

Representations

In words: six hundred fifty-three
Ordinal: 653rd
Roman numeral: DCLIII
Binary: 1010001101
Octal: 1215
Hexadecimal: 0x28D
Base64: Ao0=
One's complement: 64,882 (16-bit)
Scientific notation: 6.53 × 10²
As a duration: 653 s = 10 minutes, 53 seconds

In other bases

ternary (3) 220012

quaternary (4) 22031

quinary (5) 10103

senary (6) 3005

septenary (7) 1622

nonary (9) 805

undecimal (11) 544

duodecimal (12) 465

tridecimal (13) 3b3

tetradecimal (14) 349

pentadecimal (15) 2d8

Palindromic in base 13

As an angle

653° = 1 × 360° + 293°

293° ≈ 5.114 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): χνγʹ
Mayan (base 20): 𝋡·𝋬·𝋭
Chinese: 六百五十三
Chinese (financial): 陸佰伍拾參

In other modern scripts

Eastern Arabic ٦٥٣ Devanagari ६५३ Bengali ৬৫৩ Tamil ௬௫௩ Thai ๖๕๓ Tibetan ༦༥༣ Khmer ៦៥៣ Lao ໖໕໓ Burmese ၆၅၃

Digit at this position in famous constants

π — Pi (π): Digit 653 = 4
e — Euler's number (e): Digit 653 = 3
φ — Golden ratio (φ): Digit 653 = 8
√2 — Pythagoras's (√2): Digit 653 = 1
ln 2 — Natural log of 2: Digit 653 = 9
γ — Euler-Mascheroni (γ): Digit 653 = 6

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 647 (gap of 6)
Next prime: 659 (gap of 6)

Pair status: sexy with 647, sexy with 659.

Unicode codepoint

Latin Small Letter Turned W

U+028D

Lowercase letter (Ll)

UTF-8 encoding: CA 8D (2 bytes).

Lookup U+028D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00028D

RGB(0, 2, 141)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.141.

Address: 0.0.2.141
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.141

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

Musical pitch

Heard as a frequency, 653 Hz is closest to:

Concert pitch (A4 = 440 Hz): E5 (659.3 Hz, -17¢)
Scientific pitch (C4 = 256 Hz): E5 (645.1 Hz, +21¢)
Baroque pitch (A4 = 415 Hz): F5 (658.8 Hz, -15¢)