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Number

598

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

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree Year

Historical context — 598 AD

Calendar year

Year 598 (DXCVIII) was a common year starting on Wednesday of the Julian calendar.

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

Historical context — 598 BC

Calendar year

The year 598 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
Monday
January 1, 598
Ended on
Monday
December 31, 598
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
590s
590–599
Century
6th century
501–600
Millennium
1st millennium
1–1000
Years ago
1,428
1428 years before 2026.

In other calendars

Hebrew
4358 / 4359 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Earth zodiac:Horse
Sexagenary cycle position 55 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1141 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
590 / 591 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
520 / 519 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
22
Digit product
360
Digital root
4
Palindrome
No
Bit width
10 bits
Reversed
895
Recamán's sequence
a(1,063) = 598
Square (n²)
357,604
Cube (n³)
213,847,192
Divisor count
8
σ(n) — sum of divisors
1,008
φ(n) — Euler's totient
264
Sum of prime factors
38

Primality

Prime factorization: 2 × 13 × 23

Nearest primes: 593 (−5) · 599 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 13 · 23 · 26 · 46 · 299 (half) · 598
Aliquot sum (sum of proper divisors): 410
Factor pairs (a × b = 598)
1 × 598
2 × 299
13 × 46
23 × 26
First multiples
598 · 1,196 (double) · 1,794 · 2,392 · 2,990 · 3,588 · 4,186 · 4,784 · 5,382 · 5,980

Sums & aliquot sequence

As consecutive integers: 148 + 149 + 150 + 151 40 + 41 + … + 52 15 + 16 + … + 37
Aliquot sequence: 598 410 346 176 196 203 37 1 0 — terminates at zero

Representations

In words
five hundred ninety-eight
Ordinal
598th
Roman numeral
DXCVIII
Binary
1001010110
Octal
1126
Hexadecimal
0x256
Base64
AlY=
One's complement
64,937 (16-bit)
In other bases
ternary (3) 211011
quaternary (4) 21112
quinary (5) 4343
senary (6) 2434
septenary (7) 1513
nonary (9) 734
undecimal (11) 4a4
duodecimal (12) 41a
tridecimal (13) 370
tetradecimal (14) 30a
pentadecimal (15) 29d

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
φϟηʹ
Mayan (base 20)
𝋡·𝋩·𝋲
Chinese
五百九十八
Chinese (financial)
伍佰玖拾捌
In other modern scripts
Eastern Arabic ٥٩٨ Devanagari ५९८ Bengali ৫৯৮ Tamil ௫௯௮ Thai ๕๙๘ Tibetan ༥༩༨ Khmer ៥៩៨ Lao ໕໙໘ Burmese ၅၉၈

Digit at this position in famous constants

π — Pi (π)
Digit 598 = 5
e — Euler's number (e)
Digit 598 = 3
φ — Golden ratio (φ)
Digit 598 = 7
√2 — Pythagoras's (√2)
Digit 598 = 0
ln 2 — Natural log of 2
Digit 598 = 1
γ — Euler-Mascheroni (γ)
Digit 598 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 598, here are decompositions:

  • 5 + 593 = 598
  • 11 + 587 = 598
  • 29 + 569 = 598
  • 41 + 557 = 598
  • 89 + 509 = 598
  • 107 + 491 = 598
  • 131 + 467 = 598
  • 137 + 461 = 598

Showing the first eight; more decompositions exist.

Unicode codepoint
ɖ
Latin Small Letter D With Tail
U+0256
Lowercase letter (Ll)

UTF-8 encoding: C9 96 (2 bytes).

Hex color
#000256
RGB(0, 2, 86)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.86.

Address
0.0.2.86
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.2.86

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