Number

13,147

13,147 is a prime, odd.

13,147 (thirteen thousand one hundred forty-seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x335B.

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

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

13,135 13,136 13,137 13,138 13,139 13,140 13,141 13,142 13,143 13,144 13,145 13,146 13,147 13,148 13,149 13,150 13,151 13,152 13,153 13,154 13,155 13,156 13,157 13,158 13,159

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 16
Digit product: 84
Digital root: 7
Palindrome: No
Bit width: 14 bits
Reversed: 74,131
Recamán's sequence: a(47,981) = 13,147
Square (n²): 172,843,609
Cube (n³): 2,272,374,927,523
Divisor count: 2
σ(n) — sum of divisors: 13,148
φ(n) — Euler's totient: 13,146

Primality

13,147 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 13147

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 13,147)

1 × 13147

First multiples

13,147 · 26,294 (double) · 39,441 · 52,588 · 65,735 · 78,882 · 92,029 · 105,176 · 118,323 · 131,470

Sums & aliquot sequence

As consecutive integers: 6,573 + 6,574

Continued fraction of √n

√13,147 = [114; (1, 1, 1, 16, 1, 37, 3, 1, 1, 1, 1, 2, 3, 25, 5, 2, 2, 1, 1, 1, 4, 4, 32, 1, …)]

Representations

In words: thirteen thousand one hundred forty-seven
Ordinal: 13147th
Binary: 11001101011011
Octal: 31533
Hexadecimal: 0x335B
Base64: M1s=
One's complement: 52,388 (16-bit)
Scientific notation: 1.3147 × 10⁴
As a duration: 13,147 s = 3 hours, 39 minutes, 7 seconds

In other bases

ternary (3) 200000221

quaternary (4) 3031123

quinary (5) 410042

senary (6) 140511

septenary (7) 53221

nonary (9) 20027

undecimal (11) 9972

duodecimal (12) 7737

tridecimal (13) 5ca4

tetradecimal (14) 4b11

pentadecimal (15) 3d67

As an angle

13,147° = 36 × 360° + 187°

187° ≈ 3.264 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγρμζʹ
Mayan (base 20): 𝋡·𝋬·𝋱·𝋧
Chinese: 一萬三千一百四十七
Chinese (financial): 壹萬參仟壹佰肆拾柒

In other modern scripts

Eastern Arabic ١٣١٤٧ Devanagari १३१४७ Bengali ১৩১৪৭ Tamil ௧௩௧௪௭ Thai ๑๓๑๔๗ Tibetan ༡༣༡༤༧ Khmer ១៣១៤៧ Lao ໑໓໑໔໗ Burmese ၁၃၁၄၇

Digit at this position in famous constants

π — Pi (π): Digit 13,147 = 7
e — Euler's number (e): Digit 13,147 = 3
φ — Golden ratio (φ): Digit 13,147 = 6
√2 — Pythagoras's (√2): Digit 13,147 = 5
ln 2 — Natural log of 2: Digit 13,147 = 2
γ — Euler-Mascheroni (γ): Digit 13,147 = 6

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 13,127 (gap of 20)
Next prime: 13,151 (gap of 4)

Pair status: cousin with 13151.

Unicode codepoint

㍛

Ideographic Telegraph Symbol For Hour Three

U+335B

Other symbol (So)

UTF-8 encoding: E3 8D 9B (3 bytes).

Lookup U+335B on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00335B

RGB(0, 51, 91)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.91.

Address: 0.0.51.91
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.51.91

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

Musical pitch

Heard as a frequency, 13,147 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -19¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +19¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -17¢)

Position in π

The digit sequence 13147 first appears in π at position 5,742 of the decimal expansion (the 5,742ordinal-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.

Look up 13147 on Pi Search ↗