number.wiki
Number

1,654

1,654 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Notable events — 1654 AD

  1. May 6 Anglo-Dutch War ends with the Treaty of Westminster.
  2. Jun 9 Tsar Alexis of Russia annexes much of Ukraine via the Treaty of Pereyaslav (signed 1654 by Khmelnytsky).
  3. Undated Christiaan Huygens discovers Saturn's rings.

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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 1654
Ended on
Thursday
December 31, 1654
Friday the 13ths
3
3 Friday the 13ths this year.
Easter Sunday
April 5
Sunday, April 5, 1654
Decade
1650s
1650–1659
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
372
372 years before 2026.

In other calendars

Hebrew
5414 / 5415 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1064 / 1065 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Horse
Sexagenary cycle position 31 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2197 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1032 / 1033 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1646 / 1647 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1576 / 1575 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
16
Digit product
120
Digital root
7
Palindrome
No
Bit width
11 bits
Reversed
4,561
Recamán's sequence
a(772) = 1,654
Square (n²)
2,735,716
Cube (n³)
4,524,874,264
Divisor count
4
σ(n) — sum of divisors
2,484
φ(n) — Euler's totient
826
Sum of prime factors
829

Primality

Prime factorization: 2 × 827

Nearest primes: 1,637 (−17) · 1,657 (+3)

Divisors & multiples

All divisors (4)
1 · 2 · 827 (half) · 1654
Aliquot sum (sum of proper divisors): 830
Factor pairs (a × b = 1,654)
1 × 1654
2 × 827
First multiples
1,654 · 3,308 (double) · 4,962 · 6,616 · 8,270 · 9,924 · 11,578 · 13,232 · 14,886 · 16,540

Sums & aliquot sequence

As consecutive integers: 412 + 413 + 414 + 415
Aliquot sequence: 1,654 830 682 470 394 200 265 59 1 0 — terminates at zero

Representations

In words
one thousand six hundred fifty-four
Ordinal
1654th
Roman numeral
MDCLIV
Binary
11001110110
Octal
3166
Hexadecimal
0x676
Base64
BnY=
One's complement
63,881 (16-bit)
In other bases
ternary (3) 2021021
quaternary (4) 121312
quinary (5) 23104
senary (6) 11354
septenary (7) 4552
nonary (9) 2237
undecimal (11) 1274
duodecimal (12) b5a
tridecimal (13) 9a3
tetradecimal (14) 862
pentadecimal (15) 754

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αχνδʹ
Mayan (base 20)
𝋤·𝋢·𝋮
Chinese
一千六百五十四
Chinese (financial)
壹仟陸佰伍拾肆
In other modern scripts
Eastern Arabic ١٦٥٤ Devanagari १६५४ Bengali ১৬৫৪ Tamil ௧௬௫௪ Thai ๑๖๕๔ Tibetan ༡༦༥༤ Khmer ១៦៥៤ Lao ໑໖໕໔ Burmese ၁၆၅၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,654 = 1
e — Euler's number (e)
Digit 1,654 = 3
φ — Golden ratio (φ)
Digit 1,654 = 1
√2 — Pythagoras's (√2)
Digit 1,654 = 3
ln 2 — Natural log of 2
Digit 1,654 = 7
γ — Euler-Mascheroni (γ)
Digit 1,654 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1654, here are decompositions:

  • 17 + 1637 = 1654
  • 41 + 1613 = 1654
  • 47 + 1607 = 1654
  • 53 + 1601 = 1654
  • 71 + 1583 = 1654
  • 83 + 1571 = 1654
  • 101 + 1553 = 1654
  • 131 + 1523 = 1654

Showing the first eight; more decompositions exist.

Unicode codepoint
ٶ
Arabic Letter High Hamza Waw
U+0676
Other letter (Lo)

UTF-8 encoding: D9 B6 (2 bytes).

Hex color
#000676
RGB(0, 6, 118)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.118.

Address
0.0.6.118
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.118

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

Position in π

The digit sequence 1654 first appears in π at position 3,650 of the decimal expansion (the 3,650ordinal-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.