number.wiki
Number

1,631

1,631 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree Year

Notable events — 1631 AD

  1. May 20 Imperial troops sack Magdeburg; up to 25,000 are killed.
  2. Sep 17 Gustavus Adolphus crushes the Catholic League at Breitenfeld.
  3. Dec 16 Mount Vesuvius erupts violently.

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, 1631
Ended on
Wednesday
December 31, 1631
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 20
Sunday, April 20, 1631
Decade
1630s
1630–1639
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
395
395 years before 2026.

In other calendars

Hebrew
5391 / 5392 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1040 / 1041 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Goat
Sexagenary cycle position 8 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2174 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1009 / 1010 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1623 / 1624 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1553 / 1552 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
11
Digit product
18
Digital root
2
Palindrome
No
Bit width
11 bits
Reversed
1,361
Recamán's sequence
a(690) = 1,631
Square (n²)
2,660,161
Cube (n³)
4,338,722,591
Divisor count
4
σ(n) — sum of divisors
1,872
φ(n) — Euler's totient
1,392
Sum of prime factors
240

Primality

Prime factorization: 7 × 233

Nearest primes: 1,627 (−4) · 1,637 (+6)

Divisors & multiples

All divisors (4)
1 · 7 · 233 · 1631
Aliquot sum (sum of proper divisors): 241
Factor pairs (a × b = 1,631)
1 × 1631
7 × 233
First multiples
1,631 · 3,262 (double) · 4,893 · 6,524 · 8,155 · 9,786 · 11,417 · 13,048 · 14,679 · 16,310

Sums & aliquot sequence

As consecutive integers: 815 + 816 230 + 231 + … + 236 110 + 111 + … + 123
Aliquot sequence: 1,631 241 1 0 — terminates at zero

Representations

In words
one thousand six hundred thirty-one
Ordinal
1631st
Roman numeral
MDCXXXI
Binary
11001011111
Octal
3137
Hexadecimal
0x65F
Base64
Bl8=
One's complement
63,904 (16-bit)
In other bases
ternary (3) 2020102
quaternary (4) 121133
quinary (5) 23011
senary (6) 11315
septenary (7) 4520
nonary (9) 2212
undecimal (11) 1253
duodecimal (12) b3b
tridecimal (13) 986
tetradecimal (14) 847
pentadecimal (15) 73b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵αχλαʹ
Mayan (base 20)
𝋤·𝋡·𝋫
Chinese
一千六百三十一
Chinese (financial)
壹仟陸佰參拾壹
In other modern scripts
Eastern Arabic ١٦٣١ Devanagari १६३१ Bengali ১৬৩১ Tamil ௧௬௩௧ Thai ๑๖๓๑ Tibetan ༡༦༣༡ Khmer ១៦៣១ Lao ໑໖໓໑ Burmese ၁၆၃၁

Digit at this position in famous constants

π — Pi (π)
Digit 1,631 = 7
e — Euler's number (e)
Digit 1,631 = 4
φ — Golden ratio (φ)
Digit 1,631 = 3
√2 — Pythagoras's (√2)
Digit 1,631 = 9
ln 2 — Natural log of 2
Digit 1,631 = 4
γ — Euler-Mascheroni (γ)
Digit 1,631 = 3

Also seen as

Unicode codepoint
ٟ
Arabic Wavy Hamza Below
U+065F
Non-spacing mark (Mn)

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

Hex color
#00065F
RGB(0, 6, 95)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.95.

Address
0.0.6.95
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.95

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

Position in π

The digit sequence 1631 first appears in π at position 5,020 of the decimal expansion (the 5,020ordinal-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.