Number

558

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

558 (five hundred fifty-eight) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 31. Its proper divisors sum to 690, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DLVIII and in binary, 1000101110.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Moran Number Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number Year

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570

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Historical context — 558 AD

Calendar year

Year 558 (DLVIII) 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 — 558 BC

Calendar year

The year 558 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: Sunday
January 1, 558
Ended on: Sunday
December 31, 558
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 550s
550–559
Century: 6th century
501–600
Millennium: 1st millennium
1–1000
Years ago: 1,468
1468 years before 2026.

In other calendars

Hebrew: 4318 / 4319 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Earth zodiac:Tiger
Sexagenary cycle position 15 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1101 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 550 / 551 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 480 / 479 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 18
Digit product: 200
Digital root: 9
Palindrome: No
Bit width: 10 bits
Reversed: 855
Recamán's sequence: a(1,143) = 558
Square (n²): 311,364
Cube (n³): 173,741,112
Divisor count: 12
σ(n) — sum of divisors: 1,248
φ(n) — Euler's totient: 180
Sum of prime factors: 39

Primality

Prime factorization: 2 × 3 ² × 31

Nearest primes: 557 (−1) · 563 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 31 · 62 · 93 · 186 · 279 (half) · 558

Aliquot sum (sum of proper divisors): 690

Factor pairs (a × b = 558)

1 × 558

2 × 279

3 × 186

6 × 93

9 × 62

18 × 31

First multiples

558 · 1,116 (double) · 1,674 · 2,232 · 2,790 · 3,348 · 3,906 · 4,464 · 5,022 · 5,580

Sums & aliquot sequence

As consecutive integers: 185 + 186 + 187 138 + 139 + 140 + 141 58 + 59 + … + 66 41 + 42 + … + 52

Aliquot sequence: 558 → 690 → 1,038 → 1,050 → 1,926 → 2,286 → 2,706 → 3,342 → 3,354 → 4,038 → 4,050 → 7,203 → 4,001 → 1 → 0 — terminates at zero

Continued fraction of √n

√558 = [23; (1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 46)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: five hundred fifty-eight
Ordinal: 558th
Roman numeral: DLVIII
Binary: 1000101110
Octal: 1056
Hexadecimal: 0x22E
Base64: Ai4=
One's complement: 64,977 (16-bit)
Scientific notation: 5.58 × 10²
As a duration: 558 s = 9 minutes, 18 seconds

In other bases

ternary (3) 202200

quaternary (4) 20232

quinary (5) 4213

senary (6) 2330

septenary (7) 1425

nonary (9) 680

undecimal (11) 468

duodecimal (12) 3a6

tridecimal (13) 33c

tetradecimal (14) 2bc

pentadecimal (15) 273

As an angle

558° = 1 × 360° + 198°

198° ≈ 3.456 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): φνηʹ
Mayan (base 20): 𝋡·𝋧·𝋲
Chinese: 五百五十八
Chinese (financial): 伍佰伍拾捌

In other modern scripts

Eastern Arabic ٥٥٨ Devanagari ५५८ Bengali ৫৫৮ Tamil ௫௫௮ Thai ๕๕๘ Tibetan ༥༥༨ Khmer ៥៥៨ Lao ໕໕໘ Burmese ၅၅၈

Digit at this position in famous constants

π — Pi (π): Digit 558 = 0
e — Euler's number (e): Digit 558 = 9
φ — Golden ratio (φ): Digit 558 = 8
√2 — Pythagoras's (√2): Digit 558 = 8
ln 2 — Natural log of 2: Digit 558 = 7
γ — Euler-Mascheroni (γ): Digit 558 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 558, here are decompositions:

11 + 547 = 558
17 + 541 = 558
37 + 521 = 558
59 + 499 = 558
67 + 491 = 558
71 + 487 = 558
79 + 479 = 558
97 + 461 = 558

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter O With Dot Above

U+022E

Uppercase letter (Lu)

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

Lookup U+022E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00022E

RGB(0, 2, 46)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.46.

Address: 0.0.2.46
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.46

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

Musical pitch

Heard as a frequency, 558 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯5 (554.4 Hz, +11¢)
Scientific pitch (C4 = 256 Hz): C♯5 (542.4 Hz, +49¢ — about midway to D5)
Baroque pitch (A4 = 415 Hz): D5 (554 Hz, +13¢)