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Number

1,598

1,598 is a composite number, even, a calendar year.

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

Notable events — 1598 AD

  1. Apr 13 Henry IV issues the Edict of Nantes, granting Huguenots religious rights.
  2. May 2 The Peace of Vervins ends the Franco-Spanish war.
  3. Sep 18 Hideyoshi dies; Japan withdraws from Korea.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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, 1598
Ended on
Thursday
December 31, 1598
Friday the 13ths
3
3 Friday the 13ths this year.
Easter Sunday
March 22
Sunday, March 22, 1598
Decade
1590s
1590–1599
Century
16th century
1501–1600
Millennium
2nd millennium
1001–2000
Years ago
428
428 years before 2026.

In other calendars

Hebrew
5358 / 5359 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1006 / 1007 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Dog
Sexagenary cycle position 35 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2141 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
976 / 977 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1590 / 1591 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1520 / 1519 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
23
Digit product
360
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
8,951
Recamán's sequence
a(8,204) = 1,598
Square (n²)
2,553,604
Cube (n³)
4,080,659,192
Divisor count
8
σ(n) — sum of divisors
2,592
φ(n) — Euler's totient
736
Sum of prime factors
66

Primality

Prime factorization: 2 × 17 × 47

Nearest primes: 1,597 (−1) · 1,601 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 17 · 34 · 47 · 94 · 799 (half) · 1598
Aliquot sum (sum of proper divisors): 994
Factor pairs (a × b = 1,598)
1 × 1598
2 × 799
17 × 94
34 × 47
First multiples
1,598 · 3,196 (double) · 4,794 · 6,392 · 7,990 · 9,588 · 11,186 · 12,784 · 14,382 · 15,980

Sums & aliquot sequence

As consecutive integers: 398 + 399 + 400 + 401 86 + 87 + … + 102 11 + 12 + … + 57
Aliquot sequence: 1,598 994 734 370 314 160 218 112 136 134 70 74 40 50 43 1 0 — terminates at zero

Representations

In words
one thousand five hundred ninety-eight
Ordinal
1598th
Roman numeral
MDXCVIII
Binary
11000111110
Octal
3076
Hexadecimal
0x63E
Base64
Bj4=
One's complement
63,937 (16-bit)
In other bases
ternary (3) 2012012
quaternary (4) 120332
quinary (5) 22343
senary (6) 11222
septenary (7) 4442
nonary (9) 2165
undecimal (11) 1223
duodecimal (12) b12
tridecimal (13) 95c
tetradecimal (14) 822
pentadecimal (15) 718

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αφϟηʹ
Mayan (base 20)
𝋣·𝋳·𝋲
Chinese
一千五百九十八
Chinese (financial)
壹仟伍佰玖拾捌
In other modern scripts
Eastern Arabic ١٥٩٨ Devanagari १५९८ Bengali ১৫৯৮ Tamil ௧௫௯௮ Thai ๑๕๙๘ Tibetan ༡༥༩༨ Khmer ១៥៩៨ Lao ໑໕໙໘ Burmese ၁၅၉၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,598 = 8
e — Euler's number (e)
Digit 1,598 = 0
φ — Golden ratio (φ)
Digit 1,598 = 1
√2 — Pythagoras's (√2)
Digit 1,598 = 6
ln 2 — Natural log of 2
Digit 1,598 = 2
γ — Euler-Mascheroni (γ)
Digit 1,598 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1598, here are decompositions:

  • 19 + 1579 = 1598
  • 31 + 1567 = 1598
  • 67 + 1531 = 1598
  • 109 + 1489 = 1598
  • 127 + 1471 = 1598
  • 139 + 1459 = 1598
  • 151 + 1447 = 1598
  • 199 + 1399 = 1598

Showing the first eight; more decompositions exist.

Unicode codepoint
ؾ
Arabic Letter Farsi Yeh With Two Dots Above
U+063E
Other letter (Lo)

UTF-8 encoding: D8 BE (2 bytes).

Hex color
#00063E
RGB(0, 6, 62)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.62.

Address
0.0.6.62
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.62

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

Position in π

The digit sequence 1598 first appears in π at position 730 of the decimal expansion (the 730ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.