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Number

7,321

7,321 is a prime, odd.

7,321 (seven thousand three hundred twenty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1C99.

Arithmetic Number Centered Square Chen Prime Cube-Free Deficient Number Descending Digits Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

10 notable facts · grade A
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Properties

Parity
Odd
Digit count
4
Digit sum
13
Digit product
42
Digital root
4
Palindrome
No
Bit width
13 bits
Reversed
1,237
Recamán's sequence
a(11,385) = 7,321
Square (n²)
53,597,041
Cube (n³)
392,383,937,161
Divisor count
2
σ(n) — sum of divisors
7,322
φ(n) — Euler's totient
7,320

Primality

7,321 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 7321
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 7,321)
1 × 7321
First multiples
7,321 · 14,642 (double) · 21,963 · 29,284 · 36,605 · 43,926 · 51,247 · 58,568 · 65,889 · 73,210

Sums & aliquot sequence

As a sum of two squares: 60² + 61²
As consecutive integers: 3,660 + 3,661

Continued fraction of √n

√7,321 = [85; (1, 1, 3, 2, 10, 1, 33, 3, 5, 56, 1, 5, 1, 6, 3, 1, 1, 1, 10, 1, 3, 2, 1, 2, …)]

Representations

In words
seven thousand three hundred twenty-one
Ordinal
7321st
Binary
1110010011001
Octal
16231
Hexadecimal
0x1C99
Base64
HJk=
One's complement
58,214 (16-bit)
Scientific notation
7.321 × 10³
As a duration
7,321 s = 2 hours, 2 minutes, 1 second
In other bases
ternary (3) 101001011
quaternary (4) 1302121
quinary (5) 213241
senary (6) 53521
septenary (7) 30226
nonary (9) 11034
undecimal (11) 5556
duodecimal (12) 42a1
tridecimal (13) 3442
tetradecimal (14) 294d
pentadecimal (15) 2281

As an angle

7,321° = 20 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ζτκαʹ
Mayan (base 20)
𝋲·𝋦·𝋡
Chinese
七千三百二十一
Chinese (financial)
柒仟參佰貳拾壹
In other modern scripts
Eastern Arabic ٧٣٢١ Devanagari ७३२१ Bengali ৭৩২১ Tamil ௭௩௨௧ Thai ๗๓๒๑ Tibetan ༧༣༢༡ Khmer ៧៣២១ Lao ໗໓໒໑ Burmese ၇၃၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 7,321 = 1
e — Euler's number (e)
Digit 7,321 = 3
φ — Golden ratio (φ)
Digit 7,321 = 5
√2 — Pythagoras's (√2)
Digit 7,321 = 2
ln 2 — Natural log of 2
Digit 7,321 = 5
γ — Euler-Mascheroni (γ)
Digit 7,321 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 7,309 (gap of 12)
  • Next prime: 7,331 (gap of 10)
Unicode codepoint
Georgian Mtavruli Capital Letter Kan
U+1C99
Uppercase letter (Lu)

UTF-8 encoding: E1 B2 99 (3 bytes).

Hex color
#001C99
RGB(0, 28, 153)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.28.153.

Address
0.0.28.153
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.28.153

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

Musical pitch

Heard as a frequency, 7,321 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯8 (7458.6 Hz, -32¢)
  • Scientific pitch (C4 = 256 Hz): A♯8 (7298.2 Hz, +5¢)
  • Baroque pitch (A4 = 415 Hz): B8 (7453.1 Hz, -31¢)
Position in π

The digit sequence 7321 first appears in π at position 1,622 of the decimal expansion (the 1,622ordinal-suffix:nd 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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.