number.wiki
Number

1,721

1,721 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime Year

Notable events — 1721 AD

  1. Sep 10 The Treaty of Nystad ends the Great Northern War; Russia becomes a great power.
  2. Nov 2 Peter the Great is proclaimed Emperor of All Russia.
  3. Apr 4 Robert Walpole becomes Britain's effective first prime minister.

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, 1721
Ended on
Wednesday
December 31, 1721
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 13
Sunday, April 13, 1721
Decade
1720s
1720–1729
Century
18th century
1701–1800
Millennium
2nd millennium
1001–2000
Years ago
305
305 years before 2026.

In other calendars

Hebrew
5481 / 5482 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1133 / 1134 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Ox
Sexagenary cycle position 38 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2264 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1099 / 1100 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1713 / 1714 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1643 / 1642 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
11
Digit product
14
Digital root
2
Palindrome
No
Bit width
11 bits
Reversed
1,271
Recamán's sequence
a(1,182) = 1,721
Square (n²)
2,961,841
Cube (n³)
5,097,328,361
Divisor count
2
σ(n) — sum of divisors
1,722
φ(n) — Euler's totient
1,720

Primality

1,721 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1721
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,721)
1 × 1721
First multiples
1,721 · 3,442 (double) · 5,163 · 6,884 · 8,605 · 10,326 · 12,047 · 13,768 · 15,489 · 17,210

Sums & aliquot sequence

As a sum of two squares: 11² + 40²
As consecutive integers: 860 + 861

Representations

In words
one thousand seven hundred twenty-one
Ordinal
1721st
Roman numeral
MDCCXXI
Binary
11010111001
Octal
3271
Hexadecimal
0x6B9
Base64
Brk=
One's complement
63,814 (16-bit)
In other bases
ternary (3) 2100202
quaternary (4) 122321
quinary (5) 23341
senary (6) 11545
septenary (7) 5006
nonary (9) 2322
undecimal (11) 1325
duodecimal (12) bb5
tridecimal (13) a25
tetradecimal (14) 8ad
pentadecimal (15) 79b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵αψκαʹ
Mayan (base 20)
𝋤·𝋦·𝋡
Chinese
一千七百二十一
Chinese (financial)
壹仟柒佰貳拾壹
In other modern scripts
Eastern Arabic ١٧٢١ Devanagari १७२१ Bengali ১৭২১ Tamil ௧௭௨௧ Thai ๑๗๒๑ Tibetan ༡༧༢༡ Khmer ១៧២១ Lao ໑໗໒໑ Burmese ၁၇၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 1,721 = 5
e — Euler's number (e)
Digit 1,721 = 4
φ — Golden ratio (φ)
Digit 1,721 = 6
√2 — Pythagoras's (√2)
Digit 1,721 = 2
ln 2 — Natural log of 2
Digit 1,721 = 6
γ — Euler-Mascheroni (γ)
Digit 1,721 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,709 (gap of 12)
  • Next prime: 1,723 (gap of 2)

Pair status: twin with 1723.

Unicode codepoint
ڹ
Arabic Letter Noon With Dot Below
U+06B9
Other letter (Lo)

UTF-8 encoding: DA B9 (2 bytes).

Hex color
#0006B9
RGB(0, 6, 185)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.185.

Address
0.0.6.185
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.185

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

Position in π

The digit sequence 1721 first appears in π at position 1,419 of the decimal expansion (the 1,419ordinal-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.