Number

1,698

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

1,698 (one thousand six hundred ninety-eight) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 283. Its proper divisors sum to 1,710, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDCXCVIII and in binary, 11010100010.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,686 1,687 1,688 1,689 1,690 1,691 1,692 1,693 1,694 1,695 1,696 1,697 1,698 1,699 1,700 1,701 1,702 1,703 1,704 1,705 1,706 1,707 1,708 1,709 1,710

less more

Notable events — 1698 AD

Sep 5 Peter the Great imposes a beard tax on Russian nobles.
Aug 27 The Scots launch the Darien scheme to colonize Panama.
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

Continued fraction of √n

√1,698 = [41; (4, 1, 5, 11, 1, 1, 1, 1, 40, 1, 1, 1, 1, 11, 5, 1, 4, 82)]

Period length 18 — the block in parentheses repeats forever.

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)
Scientific notation: 1.698 × 10³
As a duration: 1,698 s = 28 minutes, 18 seconds

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

As an angle

1,698° = 4 × 360° + 258°

258° ≈ 4.503 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

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

Arabic Letter Feh With Dot Moved Below

U+06A2

Other letter (Lo)

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

Lookup U+06A2 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,698 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯6 (1661.2 Hz, +38¢)
Scientific pitch (C4 = 256 Hz): A6 (1722.2 Hz, -24¢)
Baroque pitch (A4 = 415 Hz): A6 (1660 Hz, +39¢)

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.

Look up 1698 on Pi Search ↗