Number

1,700

1,700 is a composite number, even, a calendar year.

1,700 (one thousand seven hundred) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2² × 5² × 17. Its proper divisors sum to 2,206, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDCC and in binary, 11010100100.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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 1,711 1,712

less more

Notable events — 1700 AD

Feb 18 The Great Northern War begins as Denmark, Saxony, and Russia ally against Sweden.
Nov 1 Charles II of Spain dies childless, sparking the War of the Spanish Succession.
Nov 30 Charles XII of Sweden defeats Peter the Great at Narva.

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: Friday
January 1, 1700
Ended on: Friday
December 31, 1700
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: April 11
Sunday, April 11, 1700
Decade: 1700s
1700–1709
Century: 17th century
1601–1700
Millennium: 2nd millennium
1001–2000
Years ago: 326
326 years before 2026.

In other calendars

Hebrew: 5460 / 5461 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1111 / 1112 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Dragon
Sexagenary cycle position 17 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2243 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1078 / 1079 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1692 / 1693 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1622 / 1621 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 11 bits
Reversed: 71
Recamán's sequence: a(968) = 1,700
Square (n²): 2,890,000
Cube (n³): 4,913,000,000
Divisor count: 18
σ(n) — sum of divisors: 3,906
φ(n) — Euler's totient: 640
Sum of prime factors: 31

Primality

Prime factorization: 2 ² × 5 ² × 17

Nearest primes: 1,699 (−1) · 1,709 (+9)

Divisors & multiples

All divisors (18)

1 · 2 · 4 · 5 · 10 · 17 · 20 · 25 · 34 · 50 · 68 · 85 · 100 · 170 · 340 · 425 · 850 (half) · 1700

Aliquot sum (sum of proper divisors): 2,206

Factor pairs (a × b = 1,700)

1 × 1700

2 × 850

4 × 425

5 × 340

10 × 170

17 × 100

20 × 85

25 × 68

34 × 50

First multiples

1,700 · 3,400 (double) · 5,100 · 6,800 · 8,500 · 10,200 · 11,900 · 13,600 · 15,300 · 17,000

Sums & aliquot sequence

As a sum of two squares: 10² + 40² = 16² + 38² = 26² + 32²

As consecutive integers: 338 + 339 + 340 + 341 + 342 209 + 210 + … + 216 92 + 93 + … + 108 56 + 57 + … + 80

Aliquot sequence: 1,700 → 2,206 → 1,106 → 814 → 554 → 280 → 440 → 640 → 890 → 730 → 602 → 454 → 230 → 202 → 104 → 106 → 56 — unresolved within range

Continued fraction of √n

√1,700 = [41; (4, 3, 20, 3, 4, 82)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one thousand seven hundred
Ordinal: 1700th
Roman numeral: MDCC
Binary: 11010100100
Octal: 3244
Hexadecimal: 0x6A4
Base64: BqQ=
One's complement: 63,835 (16-bit)
Scientific notation: 1.7 × 10³
As a duration: 1,700 s = 28 minutes, 20 seconds

In other bases

ternary (3) 2022222

quaternary (4) 122210

quinary (5) 23300

senary (6) 11512

septenary (7) 4646

nonary (9) 2288

undecimal (11) 1306

duodecimal (12) b98

tridecimal (13) a0a

tetradecimal (14) 896

pentadecimal (15) 785

Palindromic in base 13

As an angle

1,700° = 4 × 360° + 260°

260° ≈ 4.538 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian): ͵αψʹ
Mayan (base 20): 𝋤·𝋥·𝋠
Chinese: 一千七百
Chinese (financial): 壹仟柒佰

In other modern scripts

Eastern Arabic ١٧٠٠ Devanagari १७०० Bengali ১৭০০ Tamil ௧௭௦௦ Thai ๑๗๐๐ Tibetan ༡༧༠༠ Khmer ១៧០០ Lao ໑໗໐໐ Burmese ၁၇၀၀

Digit at this position in famous constants

π — Pi (π): Digit 1,700 = 3
e — Euler's number (e): Digit 1,700 = 2
φ — Golden ratio (φ): Digit 1,700 = 7
√2 — Pythagoras's (√2): Digit 1,700 = 5
ln 2 — Natural log of 2: Digit 1,700 = 5
γ — Euler-Mascheroni (γ): Digit 1,700 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1700, here are decompositions:

3 + 1697 = 1700
7 + 1693 = 1700
31 + 1669 = 1700
37 + 1663 = 1700
43 + 1657 = 1700
73 + 1627 = 1700
79 + 1621 = 1700
103 + 1597 = 1700

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Letter Veh

U+06A4

Other letter (Lo)

UTF-8 encoding: DA A4 (2 bytes).

Lookup U+06A4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0006A4

RGB(0, 6, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.164.

Address: 0.0.6.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.164

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

Musical pitch

Heard as a frequency, 1,700 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯6 (1661.2 Hz, +40¢)
Scientific pitch (C4 = 256 Hz): A6 (1722.2 Hz, -22¢)
Baroque pitch (A4 = 415 Hz): A6 (1660 Hz, +41¢)

Position in π

The digit sequence 1700 first appears in π at position 31,133 of the decimal expansion (the 31,133ordinal-suffix:rd 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 1700 on Pi Search ↗