Number

13,163

13,163 is a prime, odd.

13,163 (thirteen 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, 0x336B.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Odious Number Prime Recamán's Sequence Safe Prime Squarefree

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

13,151 13,152 13,153 13,154 13,155 13,156 13,157 13,158 13,159 13,160 13,161 13,162 13,163 13,164 13,165 13,166 13,167 13,168 13,169 13,170 13,171 13,172 13,173 13,174 13,175

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Properties

Parity: Odd
Digit count: 5
Digit sum: 14
Digit product: 54
Digital root: 5
Palindrome: No
Bit width: 14 bits
Reversed: 36,131
Recamán's sequence: a(47,949) = 13,163
Square (n²): 173,264,569
Cube (n³): 2,280,681,521,747
Divisor count: 2
σ(n) — sum of divisors: 13,164
φ(n) — Euler's totient: 13,162

Primality

13,163 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 13163

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 13,163)

1 × 13163

First multiples

13,163 · 26,326 (double) · 39,489 · 52,652 · 65,815 · 78,978 · 92,141 · 105,304 · 118,467 · 131,630

Sums & aliquot sequence

As consecutive integers: 6,581 + 6,582

Continued fraction of √n

√13,163 = [114; (1, 2, 1, 2, 2, 1, 1, 5, 1, 1, 1, 1, 2, 5, 4, 1, 2, 3, 2, 2, 6, 1, 113, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand one hundred sixty-three
Ordinal: 13163rd
Binary: 11001101101011
Octal: 31553
Hexadecimal: 0x336B
Base64: M2s=
One's complement: 52,372 (16-bit)
Scientific notation: 1.3163 × 10⁴
As a duration: 13,163 s = 3 hours, 39 minutes, 23 seconds

In other bases

ternary (3) 200001112

quaternary (4) 3031223

quinary (5) 410123

senary (6) 140535

septenary (7) 53243

nonary (9) 20045

undecimal (11) 9987

duodecimal (12) 774b

tridecimal (13) 5cb7

tetradecimal (14) 4b23

pentadecimal (15) 3d78

As an angle

13,163° = 36 × 360° + 203°

203° ≈ 3.543 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ͵ιγρξγʹ
Mayan (base 20): 𝋡·𝋬·𝋲·𝋣
Chinese: 一萬三千一百六十三
Chinese (financial): 壹萬參仟壹佰陸拾參

In other modern scripts

Eastern Arabic ١٣١٦٣ Devanagari १३१६३ Bengali ১৩১৬৩ Tamil ௧௩௧௬௩ Thai ๑๓๑๖๓ Tibetan ༡༣༡༦༣ Khmer ១៣១៦៣ Lao ໑໓໑໖໓ Burmese ၁၃၁၆၃

Digit at this position in famous constants

π — Pi (π): Digit 13,163 = 0
e — Euler's number (e): Digit 13,163 = 9
φ — Golden ratio (φ): Digit 13,163 = 0
√2 — Pythagoras's (√2): Digit 13,163 = 8
ln 2 — Natural log of 2: Digit 13,163 = 5
γ — Euler-Mascheroni (γ): Digit 13,163 = 2

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 13,159 (gap of 4)
Next prime: 13,171 (gap of 8)

Pair status: cousin with 13159.

Unicode codepoint

㍫

Ideographic Telegraph Symbol For Hour Nineteen

U+336B

Other symbol (So)

UTF-8 encoding: E3 8D AB (3 bytes).

Lookup U+336B on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00336B

RGB(0, 51, 107)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.107.

Address: 0.0.51.107
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.51.107

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

Musical pitch

Heard as a frequency, 13,163 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -17¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +21¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -15¢)

Position in π

The digit sequence 13163 first appears in π at position 105,355 of the decimal expansion (the 105,355ordinal-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.

Look up 13163 on Pi Search ↗