number.wiki
Number

9,973

9,973 is a prime, odd.

9,973 (nine thousand nine hundred seventy-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x26F5.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
28
Digit product
1,701
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
3,799
Recamán's sequence
a(7,269) = 9,973
Square (n²)
99,460,729
Cube (n³)
991,921,850,317
Divisor count
2
σ(n) — sum of divisors
9,974
φ(n) — Euler's totient
9,972

Primality

9,973 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 9973
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 9,973)
1 × 9973
First multiples
9,973 · 19,946 (double) · 29,919 · 39,892 · 49,865 · 59,838 · 69,811 · 79,784 · 89,757 · 99,730

Sums & aliquot sequence

As a sum of two squares: 57² + 82²
As consecutive integers: 4,986 + 4,987

Continued fraction of √n

√9,973 = [99; (1, 6, 2, 2, 16, 4, 5, 3, 3, 5, 4, 16, 2, 2, 6, 1, 198)]

Period length 17 — the block in parentheses repeats forever.

Representations

In words
nine thousand nine hundred seventy-three
Ordinal
9973rd
Binary
10011011110101
Octal
23365
Hexadecimal
0x26F5
Base64
JvU=
One's complement
55,562 (16-bit)
Scientific notation
9.973 × 10³
As a duration
9,973 s = 2 hours, 46 minutes, 13 seconds
In other bases
ternary (3) 111200101
quaternary (4) 2123311
quinary (5) 304343
senary (6) 114101
septenary (7) 41035
nonary (9) 14611
undecimal (11) 7547
duodecimal (12) 5931
tridecimal (13) 4702
tetradecimal (14) 38c5
pentadecimal (15) 2e4d

As an angle

9,973° = 27 × 360° + 253°
253° ≈ 4.416 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵θϡογʹ
Mayan (base 20)
𝋡·𝋤·𝋲·𝋭
Chinese
九千九百七十三
Chinese (financial)
玖仟玖佰柒拾參
In other modern scripts
Eastern Arabic ٩٩٧٣ Devanagari ९९७३ Bengali ৯৯৭৩ Tamil ௯௯௭௩ Thai ๙๙๗๓ Tibetan ༩༩༧༣ Khmer ៩៩៧៣ Lao ໙໙໗໓ Burmese ၉၉၇၃

Digit at this position in famous constants

π — Pi (π)
Digit 9,973 = 5
e — Euler's number (e)
Digit 9,973 = 8
φ — Golden ratio (φ)
Digit 9,973 = 9
√2 — Pythagoras's (√2)
Digit 9,973 = 8
ln 2 — Natural log of 2
Digit 9,973 = 2
γ — Euler-Mascheroni (γ)
Digit 9,973 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 9,967 (gap of 6)
  • Next prime: 10,007 (gap of 34)

Pair status: sexy with 9967.

Unicode codepoint
Sailboat
U+26F5
Other symbol (So)

UTF-8 encoding: E2 9B B5 (3 bytes).

Hex color
#0026F5
RGB(0, 38, 245)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.38.245.

Address
0.0.38.245
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.38.245

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

Musical pitch

Heard as a frequency, 9,973 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +3¢)
  • Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, +41¢)
  • Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +4¢)
Position in π

The digit sequence 9973 first appears in π at position 21,942 of the decimal expansion (the 21,942ordinal-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.