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Number

558

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

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

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 · English fallback 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 · English fallback 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

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)
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

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
Ȯ
Latin Capital Letter O With Dot Above
U+022E
Uppercase letter (Lu)

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

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.