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Number

1,698

1,698 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Flippable Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree Year

Notable events — 1698 AD

  1. Sep 5 Peter the Great imposes a beard tax on Russian nobles.
  2. Aug 27 The Scots launch the Darien scheme to colonize Panama.
  3. Dec 25 Thomas Savery patents an early steam pump.

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
52
Started on
Wednesday
January 1, 1698
Ended on
Wednesday
December 31, 1698
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
March 30
Sunday, March 30, 1698
Decade
1690s
1690–1699
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
328
328 years before 2026.

In other calendars

Hebrew
5458 / 5459 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1109 / 1110 AH
Lunar calendar; year spans differ from Gregorian.
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
2241 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1076 / 1077 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1690 / 1691 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1620 / 1619 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
24
Digit product
432
Digital root
6
Palindrome
No
Bit width
11 bits
Reversed
8,961
Flips to (rotate 180°)
8,691
Recamán's sequence
a(964) = 1,698
Square (n²)
2,883,204
Cube (n³)
4,895,680,392
Divisor count
8
σ(n) — sum of divisors
3,408
φ(n) — Euler's totient
564
Sum of prime factors
288

Primality

Prime factorization: 2 × 3 × 283

Nearest primes: 1,697 (−1) · 1,699 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 283 · 566 · 849 (half) · 1698
Aliquot sum (sum of proper divisors): 1,710
Factor pairs (a × b = 1,698)
1 × 1698
2 × 849
3 × 566
6 × 283
First multiples
1,698 · 3,396 (double) · 5,094 · 6,792 · 8,490 · 10,188 · 11,886 · 13,584 · 15,282 · 16,980

Sums & aliquot sequence

As consecutive integers: 565 + 566 + 567 423 + 424 + 425 + 426 136 + 137 + … + 147
Aliquot sequence: 1,698 1,710 2,970 5,670 11,754 13,752 23,688 51,192 94,008 141,072 223,488 427,526 272,098 147,194 73,600 116,120 145,240 — unresolved within range

Representations

In words
one thousand six hundred ninety-eight
Ordinal
1698th
Roman numeral
MDCXCVIII
Binary
11010100010
Octal
3242
Hexadecimal
0x6A2
Base64
BqI=
One's complement
63,837 (16-bit)
In other bases
ternary (3) 2022220
quaternary (4) 122202
quinary (5) 23243
senary (6) 11510
septenary (7) 4644
nonary (9) 2286
undecimal (11) 1304
duodecimal (12) b96
tridecimal (13) a08
tetradecimal (14) 894
pentadecimal (15) 783

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αχϟηʹ
Mayan (base 20)
𝋤·𝋤·𝋲
Chinese
一千六百九十八
Chinese (financial)
壹仟陸佰玖拾捌
In other modern scripts
Eastern Arabic ١٦٩٨ Devanagari १६९८ Bengali ১৬৯৮ Tamil ௧௬௯௮ Thai ๑๖๙๘ Tibetan ༡༦༩༨ Khmer ១៦៩៨ Lao ໑໖໙໘ Burmese ၁၆၉၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,698 = 4
e — Euler's number (e)
Digit 1,698 = 3
φ — Golden ratio (φ)
Digit 1,698 = 7
√2 — Pythagoras's (√2)
Digit 1,698 = 7
ln 2 — Natural log of 2
Digit 1,698 = 8
γ — Euler-Mascheroni (γ)
Digit 1,698 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1698, here are decompositions:

  • 5 + 1693 = 1698
  • 29 + 1669 = 1698
  • 31 + 1667 = 1698
  • 41 + 1657 = 1698
  • 61 + 1637 = 1698
  • 71 + 1627 = 1698
  • 79 + 1619 = 1698
  • 89 + 1609 = 1698

Showing the first eight; more decompositions exist.

Unicode codepoint
ڢ
Arabic Letter Feh With Dot Moved Below
U+06A2
Other letter (Lo)

UTF-8 encoding: DA A2 (2 bytes).

Hex color
#0006A2
RGB(0, 6, 162)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.162.

Address
0.0.6.162
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.162

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001698
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 1698 first appears in π at position 25,318 of the decimal expansion (the 25,318ordinal-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.