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Number

1,630

1,630 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree Year

Notable events — 1630 AD

  1. Jul 6 Sweden enters the Thirty Years' War under Gustavus Adolphus.
  2. Jun 17 The Boston settlement is founded as part of Massachusetts Bay Colony.
  3. Sep 14 Trade routes shift after Spanish reform.

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
Tuesday
January 1, 1630
Ended on
Tuesday
December 31, 1630
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
March 31
Sunday, March 31, 1630
Decade
1630s
1630–1639
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
396
396 years before 2026.

In other calendars

Hebrew
5390 / 5391 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1039 / 1040 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Horse
Sexagenary cycle position 7 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2173 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1008 / 1009 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1622 / 1623 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1552 / 1551 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
11 bits
Reversed
361
Recamán's sequence
a(692) = 1,630
Square (n²)
2,656,900
Cube (n³)
4,330,747,000
Divisor count
8
σ(n) — sum of divisors
2,952
φ(n) — Euler's totient
648
Sum of prime factors
170

Primality

Prime factorization: 2 × 5 × 163

Nearest primes: 1,627 (−3) · 1,637 (+7)

Divisors & multiples

All divisors (8)
1 · 2 · 5 · 10 · 163 · 326 · 815 (half) · 1630
Aliquot sum (sum of proper divisors): 1,322
Factor pairs (a × b = 1,630)
1 × 1630
2 × 815
5 × 326
10 × 163
First multiples
1,630 · 3,260 (double) · 4,890 · 6,520 · 8,150 · 9,780 · 11,410 · 13,040 · 14,670 · 16,300

Sums & aliquot sequence

As consecutive integers: 406 + 407 + 408 + 409 324 + 325 + 326 + 327 + 328 72 + 73 + … + 91
Aliquot sequence: 1,630 1,322 664 596 454 230 202 104 106 56 64 63 41 1 0 — terminates at zero

Representations

In words
one thousand six hundred thirty
Ordinal
1630th
Roman numeral
MDCXXX
Binary
11001011110
Octal
3136
Hexadecimal
0x65E
Base64
Bl4=
One's complement
63,905 (16-bit)
In other bases
ternary (3) 2020101
quaternary (4) 121132
quinary (5) 23010
senary (6) 11314
septenary (7) 4516
nonary (9) 2211
undecimal (11) 1252
duodecimal (12) b3a
tridecimal (13) 985
tetradecimal (14) 846
pentadecimal (15) 73a

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
͵αχλʹ
Mayan (base 20)
𝋤·𝋡·𝋪
Chinese
一千六百三十
Chinese (financial)
壹仟陸佰參拾
In other modern scripts
Eastern Arabic ١٦٣٠ Devanagari १६३० Bengali ১৬৩০ Tamil ௧௬௩௦ Thai ๑๖๓๐ Tibetan ༡༦༣༠ Khmer ១៦៣០ Lao ໑໖໓໐ Burmese ၁၆၃၀

Digit at this position in famous constants

π — Pi (π)
Digit 1,630 = 4
e — Euler's number (e)
Digit 1,630 = 2
φ — Golden ratio (φ)
Digit 1,630 = 4
√2 — Pythagoras's (√2)
Digit 1,630 = 4
ln 2 — Natural log of 2
Digit 1,630 = 9
γ — Euler-Mascheroni (γ)
Digit 1,630 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1630, here are decompositions:

  • 3 + 1627 = 1630
  • 11 + 1619 = 1630
  • 17 + 1613 = 1630
  • 23 + 1607 = 1630
  • 29 + 1601 = 1630
  • 47 + 1583 = 1630
  • 59 + 1571 = 1630
  • 71 + 1559 = 1630

Showing the first eight; more decompositions exist.

Unicode codepoint
ٞ
Arabic Fatha With Two Dots
U+065E
Non-spacing mark (Mn)

UTF-8 encoding: D9 9E (2 bytes).

Hex color
#00065E
RGB(0, 6, 94)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.94.

Address
0.0.6.94
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.94

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
000001630
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 1630 first appears in π at position 5,858 of the decimal expansion (the 5,858ordinal-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.