Number

550

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

550 (five hundred fifty) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2 × 5² × 11. Its proper divisors sum to 566, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DL and in binary, 1000100110.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Pentagonal Pyramidal Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562

less more

Historical context — 550 AD

Calendar year

Year 550 (DL) 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 — 550 BC

Calendar year

The year 550 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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 550
Ended on: Thursday
December 31, 550
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 550s
550–559
Century: 6th century
501–600
Millennium: 1st millennium
1–1000
Years ago: 1,476
1476 years before 2026.

In other calendars

Hebrew: 4310 / 4311 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Metal zodiac:Horse
Sexagenary cycle position 7 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1093 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 542 / 543 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 472 / 471 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 10 bits
Reversed: 55
Recamán's sequence: a(1,159) = 550
Square (n²): 302,500
Cube (n³): 166,375,000
Divisor count: 12
σ(n) — sum of divisors: 1,116
φ(n) — Euler's totient: 200
Sum of prime factors: 23

Primality

Prime factorization: 2 × 5 ² × 11

Nearest primes: 547 (−3) · 557 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 5 · 10 · 11 · 22 · 25 · 50 · 55 · 110 · 275 (half) · 550

Aliquot sum (sum of proper divisors): 566

Factor pairs (a × b = 550)

1 × 550

2 × 275

5 × 110

10 × 55

11 × 50

22 × 25

First multiples

550 · 1,100 (double) · 1,650 · 2,200 · 2,750 · 3,300 · 3,850 · 4,400 · 4,950 · 5,500

Sums & aliquot sequence

As consecutive integers: 136 + 137 + 138 + 139 108 + 109 + 110 + 111 + 112 45 + 46 + … + 55 18 + 19 + … + 37

Aliquot sequence: 550 → 566 → 286 → 218 → 112 → 136 → 134 → 70 → 74 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√550 = [23; (2, 4, 1, 2, 1, 1, 7, 4, 7, 1, 1, 2, 1, 4, 2, 46)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: five hundred fifty
Ordinal: 550th
Roman numeral: DL
Binary: 1000100110
Octal: 1046
Hexadecimal: 0x226
Base64: AiY=
One's complement: 64,985 (16-bit)
Scientific notation: 5.5 × 10²
As a duration: 550 s = 9 minutes, 10 seconds

In other bases

ternary (3) 202101

quaternary (4) 20212

quinary (5) 4200

senary (6) 2314

septenary (7) 1414

nonary (9) 671

undecimal (11) 460

duodecimal (12) 39a

tridecimal (13) 334

tetradecimal (14) 2b4

pentadecimal (15) 26a

As an angle

550° = 1 × 360° + 190°

190° ≈ 3.316 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): φνʹ
Mayan (base 20): 𝋡·𝋧·𝋪
Chinese: 五百五十
Chinese (financial): 伍佰伍拾

In other modern scripts

Eastern Arabic ٥٥٠ Devanagari ५५० Bengali ৫৫০ Tamil ௫௫௦ Thai ๕๕๐ Tibetan ༥༥༠ Khmer ៥៥០ Lao ໕໕໐ Burmese ၅၅၀

Digit at this position in famous constants

π — Pi (π): Digit 550 = 9
e — Euler's number (e): Digit 550 = 2
φ — Golden ratio (φ): Digit 550 = 3
√2 — Pythagoras's (√2): Digit 550 = 2
ln 2 — Natural log of 2: Digit 550 = 6
γ — Euler-Mascheroni (γ): Digit 550 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 550, here are decompositions:

3 + 547 = 550
29 + 521 = 550
41 + 509 = 550
47 + 503 = 550
59 + 491 = 550
71 + 479 = 550
83 + 467 = 550
89 + 461 = 550

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter A With Dot Above

U+0226

Uppercase letter (Lu)

UTF-8 encoding: C8 A6 (2 bytes).

Lookup U+0226 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000226

RGB(0, 2, 38)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.38.

Address: 0.0.2.38
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.38

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

Musical pitch

Heard as a frequency, 550 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯5 (554.4 Hz, -14¢)
Scientific pitch (C4 = 256 Hz): C♯5 (542.4 Hz, +24¢)
Baroque pitch (A4 = 415 Hz): D5 (554 Hz, -12¢)