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Number

1,670

1,670 is a composite number, even, a calendar year.

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

Notable events — 1670 AD

  1. May 2 The Hudson's Bay Company is chartered by Charles II.
  2. Jun 1 The Secret Treaty of Dover allies Charles II with Louis XIV against the Dutch.
  3. Dec 11 Stenka Razin's revolt collapses in Russia.

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, 1670
Ended on
Wednesday
December 31, 1670
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 6
Sunday, April 6, 1670
Decade
1670s
1670–1679
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
356
356 years before 2026.

In other calendars

Hebrew
5430 / 5431 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1080 / 1081 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Dog
Sexagenary cycle position 47 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2213 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1048 / 1049 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1662 / 1663 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1592 / 1591 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
761
Recamán's sequence
a(808) = 1,670
Square (n²)
2,788,900
Cube (n³)
4,657,463,000
Divisor count
8
σ(n) — sum of divisors
3,024
φ(n) — Euler's totient
664
Sum of prime factors
174

Primality

Prime factorization: 2 × 5 × 167

Nearest primes: 1,669 (−1) · 1,693 (+23)

Divisors & multiples

All divisors (8)
1 · 2 · 5 · 10 · 167 · 334 · 835 (half) · 1670
Aliquot sum (sum of proper divisors): 1,354
Factor pairs (a × b = 1,670)
1 × 1670
2 × 835
5 × 334
10 × 167
First multiples
1,670 · 3,340 (double) · 5,010 · 6,680 · 8,350 · 10,020 · 11,690 · 13,360 · 15,030 · 16,700

Sums & aliquot sequence

As consecutive integers: 416 + 417 + 418 + 419 332 + 333 + 334 + 335 + 336 74 + 75 + … + 93
Aliquot sequence: 1,670 1,354 680 940 1,076 814 554 280 440 640 890 730 602 454 230 202 104 — unresolved within range

Representations

In words
one thousand six hundred seventy
Ordinal
1670th
Roman numeral
MDCLXX
Binary
11010000110
Octal
3206
Hexadecimal
0x686
Base64
BoY=
One's complement
63,865 (16-bit)
In other bases
ternary (3) 2021212
quaternary (4) 122012
quinary (5) 23140
senary (6) 11422
septenary (7) 4604
nonary (9) 2255
undecimal (11) 1289
duodecimal (12) b72
tridecimal (13) 9b6
tetradecimal (14) 874
pentadecimal (15) 765

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵αχοʹ
Mayan (base 20)
𝋤·𝋣·𝋪
Chinese
一千六百七十
Chinese (financial)
壹仟陸佰柒拾
In other modern scripts
Eastern Arabic ١٦٧٠ Devanagari १६७० Bengali ১৬৭০ Tamil ௧௬௭௦ Thai ๑๖๗๐ Tibetan ༡༦༧༠ Khmer ១៦៧០ Lao ໑໖໗໐ Burmese ၁၆၇၀

Digit at this position in famous constants

π — Pi (π)
Digit 1,670 = 4
e — Euler's number (e)
Digit 1,670 = 2
φ — Golden ratio (φ)
Digit 1,670 = 7
√2 — Pythagoras's (√2)
Digit 1,670 = 4
ln 2 — Natural log of 2
Digit 1,670 = 6
γ — Euler-Mascheroni (γ)
Digit 1,670 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1670, here are decompositions:

  • 3 + 1667 = 1670
  • 7 + 1663 = 1670
  • 13 + 1657 = 1670
  • 43 + 1627 = 1670
  • 61 + 1609 = 1670
  • 73 + 1597 = 1670
  • 103 + 1567 = 1670
  • 127 + 1543 = 1670

Showing the first eight; more decompositions exist.

Unicode codepoint
چ
Arabic Letter Tcheh
U+0686
Other letter (Lo)

UTF-8 encoding: DA 86 (2 bytes).

Hex color
#000686
RGB(0, 6, 134)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.134.

Address
0.0.6.134
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.134

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

Position in π

The digit sequence 1670 first appears in π at position 7,824 of the decimal expansion (the 7,824ordinal-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.