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Number

1,638

1,638 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Self Number Semiperfect Number Year

Notable events — 1638 AD

  1. Feb 28 Scotland's National Covenant is signed against Charles I's religious policies.
  2. Apr 15 The Shimabara Rebellion is crushed in Japan.
  3. May 12 Dutch settlers establish New Sweden on the Delaware.

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, 1638
Ended on
Friday
December 31, 1638
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 4
Sunday, April 4, 1638
Decade
1630s
1630–1639
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
388
388 years before 2026.

In other calendars

Hebrew
5398 / 5399 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1047 / 1048 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
2181 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1016 / 1017 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1630 / 1631 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1560 / 1559 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
18
Digit product
144
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
8,361
Recamán's sequence
a(676) = 1,638
Square (n²)
2,683,044
Cube (n³)
4,394,826,072
Divisor count
24
σ(n) — sum of divisors
4,368
φ(n) — Euler's totient
432
Sum of prime factors
28

Primality

Prime factorization: 2 × 3 2 × 7 × 13

Nearest primes: 1,637 (−1) · 1,657 (+19)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 7 · 9 · 13 · 14 · 18 · 21 · 26 · 39 · 42 · 63 · 78 · 91 · 117 · 126 · 182 · 234 · 273 · 546 · 819 (half) · 1638
Aliquot sum (sum of proper divisors): 2,730
Factor pairs (a × b = 1,638)
1 × 1638
2 × 819
3 × 546
6 × 273
7 × 234
9 × 182
13 × 126
14 × 117
18 × 91
21 × 78
26 × 63
39 × 42
First multiples
1,638 · 3,276 (double) · 4,914 · 6,552 · 8,190 · 9,828 · 11,466 · 13,104 · 14,742 · 16,380

Sums & aliquot sequence

As consecutive integers: 545 + 546 + 547 408 + 409 + 410 + 411 231 + 232 + … + 237 178 + 179 + … + 186
Aliquot sequence: 1,638 2,730 5,334 6,954 7,926 7,938 12,753 7,267 785 163 1 0 — terminates at zero

Representations

In words
one thousand six hundred thirty-eight
Ordinal
1638th
Roman numeral
MDCXXXVIII
Binary
11001100110
Octal
3146
Hexadecimal
0x666
Base64
BmY=
One's complement
63,897 (16-bit)
In other bases
ternary (3) 2020200
quaternary (4) 121212
quinary (5) 23023
senary (6) 11330
septenary (7) 4530
nonary (9) 2220
undecimal (11) 125a
duodecimal (12) b46
tridecimal (13) 990
tetradecimal (14) 850
pentadecimal (15) 743

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αχληʹ
Mayan (base 20)
𝋤·𝋡·𝋲
Chinese
一千六百三十八
Chinese (financial)
壹仟陸佰參拾捌
In other modern scripts
Eastern Arabic ١٦٣٨ Devanagari १६३८ Bengali ১৬৩৮ Tamil ௧௬௩௮ Thai ๑๖๓๘ Tibetan ༡༦༣༨ Khmer ១៦៣៨ Lao ໑໖໓໘ Burmese ၁၆၃၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,638 = 4
e — Euler's number (e)
Digit 1,638 = 1
φ — Golden ratio (φ)
Digit 1,638 = 9
√2 — Pythagoras's (√2)
Digit 1,638 = 9
ln 2 — Natural log of 2
Digit 1,638 = 3
γ — Euler-Mascheroni (γ)
Digit 1,638 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1638, here are decompositions:

  • 11 + 1627 = 1638
  • 17 + 1621 = 1638
  • 19 + 1619 = 1638
  • 29 + 1609 = 1638
  • 31 + 1607 = 1638
  • 37 + 1601 = 1638
  • 41 + 1597 = 1638
  • 59 + 1579 = 1638

Showing the first eight; more decompositions exist.

Unicode codepoint
٦
Arabic-Indic Digit Six
U+0666
Decimal digit (Nd)

UTF-8 encoding: D9 A6 (2 bytes).

Hex color
#000666
RGB(0, 6, 102)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.102.

Address
0.0.6.102
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.102

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

Position in π

The digit sequence 1638 first appears in π at position 32,307 of the decimal expansion (the 32,307ordinal-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.