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Number

1,653

1,653 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Hexagonal Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree Triangular Year

Notable events — 1653 AD

  1. Apr 20 Oliver Cromwell dissolves the Rump Parliament.
  2. Dec 16 Cromwell becomes Lord Protector of the Commonwealth.
  3. Undated The Taj Mahal is completed in Agra.

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, 1653
Ended on
Wednesday
December 31, 1653
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 13
Sunday, April 13, 1653
Decade
1650s
1650–1659
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
373
373 years before 2026.

In other calendars

Hebrew
5413 / 5414 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1063 / 1064 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Snake
Sexagenary cycle position 30 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2196 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1031 / 1032 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1645 / 1646 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1575 / 1574 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
15
Digit product
90
Digital root
6
Palindrome
No
Bit width
11 bits
Reversed
3,561
Recamán's sequence
a(774) = 1,653
Square (n²)
2,732,409
Cube (n³)
4,516,672,077
Divisor count
8
σ(n) — sum of divisors
2,400
φ(n) — Euler's totient
1,008
Sum of prime factors
51

Primality

Prime factorization: 3 × 19 × 29

Nearest primes: 1,637 (−16) · 1,657 (+4)

Divisors & multiples

All divisors (8)
1 · 3 · 19 · 29 · 57 · 87 · 551 · 1653
Aliquot sum (sum of proper divisors): 747
Factor pairs (a × b = 1,653)
1 × 1653
3 × 551
19 × 87
29 × 57
First multiples
1,653 · 3,306 (double) · 4,959 · 6,612 · 8,265 · 9,918 · 11,571 · 13,224 · 14,877 · 16,530

Sums & aliquot sequence

As consecutive integers: 826 + 827 550 + 551 + 552 273 + 274 + 275 + 276 + 277 + 278 78 + 79 + … + 96
Aliquot sequence: 1,653 747 345 231 153 81 40 50 43 1 0 — terminates at zero

Representations

In words
one thousand six hundred fifty-three
Ordinal
1653rd
Roman numeral
MDCLIII
Binary
11001110101
Octal
3165
Hexadecimal
0x675
Base64
BnU=
One's complement
63,882 (16-bit)
In other bases
ternary (3) 2021020
quaternary (4) 121311
quinary (5) 23103
senary (6) 11353
septenary (7) 4551
nonary (9) 2236
undecimal (11) 1273
duodecimal (12) b59
tridecimal (13) 9a2
tetradecimal (14) 861
pentadecimal (15) 753

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵αχνγʹ
Mayan (base 20)
𝋤·𝋢·𝋭
Chinese
一千六百五十三
Chinese (financial)
壹仟陸佰伍拾參
In other modern scripts
Eastern Arabic ١٦٥٣ Devanagari १६५३ Bengali ১৬৫৩ Tamil ௧௬௫௩ Thai ๑๖๕๓ Tibetan ༡༦༥༣ Khmer ១៦៥៣ Lao ໑໖໕໓ Burmese ၁၆၅၃

Digit at this position in famous constants

π — Pi (π)
Digit 1,653 = 6
e — Euler's number (e)
Digit 1,653 = 8
φ — Golden ratio (φ)
Digit 1,653 = 2
√2 — Pythagoras's (√2)
Digit 1,653 = 9
ln 2 — Natural log of 2
Digit 1,653 = 7
γ — Euler-Mascheroni (γ)
Digit 1,653 = 2

Also seen as

Unicode codepoint
ٵ
Arabic Letter High Hamza Alef
U+0675
Other letter (Lo)

UTF-8 encoding: D9 B5 (2 bytes).

Hex color
#000675
RGB(0, 6, 117)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.117.

Address
0.0.6.117
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.117

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

Position in π

The digit sequence 1653 first appears in π at position 1,504 of the decimal expansion (the 1,504ordinal-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.