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Number

10,163

10,163 is a prime, odd.

10,163 (ten thousand one hundred sixty-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x27B3.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Prime Recamán's Sequence Safe Prime Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
36,101
Recamán's sequence
a(2,434) = 10,163
Square (n²)
103,286,569
Cube (n³)
1,049,701,400,747
Divisor count
2
σ(n) — sum of divisors
10,164
φ(n) — Euler's totient
10,162

Primality

10,163 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 10163
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 10,163)
1 × 10163
First multiples
10,163 · 20,326 (double) · 30,489 · 40,652 · 50,815 · 60,978 · 71,141 · 81,304 · 91,467 · 101,630

Sums & aliquot sequence

As consecutive integers: 5,081 + 5,082

Continued fraction of √n

√10,163 = [100; (1, 4, 3, 4, 1, 1, 1, 1, 7, 6, 1, 4, 1, 1, 2, 3, 2, 2, 3, 15, 4, 1, 1, 1, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
ten thousand one hundred sixty-three
Ordinal
10163rd
Binary
10011110110011
Octal
23663
Hexadecimal
0x27B3
Base64
J7M=
One's complement
55,372 (16-bit)
Scientific notation
1.0163 × 10⁴
As a duration
10,163 s = 2 hours, 49 minutes, 23 seconds
In other bases
ternary (3) 111221102
quaternary (4) 2132303
quinary (5) 311123
senary (6) 115015
septenary (7) 41426
nonary (9) 14842
undecimal (11) 76aa
duodecimal (12) 5a6b
tridecimal (13) 481a
tetradecimal (14) 39bd
pentadecimal (15) 3028

As an angle

10,163° = 28 × 360° + 83°
83° ≈ 1.449 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιρξγʹ
Mayan (base 20)
𝋡·𝋥·𝋨·𝋣
Chinese
一萬零一百六十三
Chinese (financial)
壹萬零壹佰陸拾參
In other modern scripts
Eastern Arabic ١٠١٦٣ Devanagari १०१६३ Bengali ১০১৬৩ Tamil ௧௦௧௬௩ Thai ๑๐๑๖๓ Tibetan ༡༠༡༦༣ Khmer ១០១៦៣ Lao ໑໐໑໖໓ Burmese ၁၀၁၆၃

Digit at this position in famous constants

π — Pi (π)
Digit 10,163 = 3
e — Euler's number (e)
Digit 10,163 = 6
φ — Golden ratio (φ)
Digit 10,163 = 7
√2 — Pythagoras's (√2)
Digit 10,163 = 5
ln 2 — Natural log of 2
Digit 10,163 = 3
γ — Euler-Mascheroni (γ)
Digit 10,163 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 10,159 (gap of 4)
  • Next prime: 10,169 (gap of 6)

Pair status: cousin with 10159, sexy with 10169.

Unicode codepoint
White-Feathered Rightwards Arrow
U+27B3
Other symbol (So)

UTF-8 encoding: E2 9E B3 (3 bytes).

Hex color
#0027B3
RGB(0, 39, 179)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.179.

Address
0.0.39.179
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.179

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

Musical pitch

Heard as a frequency, 10,163 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +36¢)
  • Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -27¢)
  • Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +37¢)
Position in π

The digit sequence 10163 first appears in π at position 291,100 of the decimal expansion (the 291,100ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.