Number

13,163

13,163 is a prime, odd.

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

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

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)

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

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.

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 ↗