Number

13,291

13,291 is a prime, odd.

13,291 (thirteen thousand two hundred ninety-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x33EB.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

13,279 13,280 13,281 13,282 13,283 13,284 13,285 13,286 13,287 13,288 13,289 13,290 13,291 13,292 13,293 13,294 13,295 13,296 13,297 13,298 13,299 13,300 13,301 13,302 13,303

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Properties

Parity: Odd
Digit count: 5
Digit sum: 16
Digit product: 54
Digital root: 7
Palindrome: No
Bit width: 14 bits
Reversed: 19,231
Recamán's sequence: a(47,693) = 13,291
Square (n²): 176,650,681
Cube (n³): 2,347,864,201,171
Divisor count: 2
σ(n) — sum of divisors: 13,292
φ(n) — Euler's totient: 13,290

Primality

13,291 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 13291

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 13,291)

1 × 13291

First multiples

13,291 · 26,582 (double) · 39,873 · 53,164 · 66,455 · 79,746 · 93,037 · 106,328 · 119,619 · 132,910

Sums & aliquot sequence

As consecutive integers: 6,645 + 6,646

Continued fraction of √n

√13,291 = [115; (3, 2, 22, 1, 1, 1, 2, 3, 1, 8, 2, 4, 1, 1, 1, 6, 2, 1, 12, 7, 1, 6, 1, 4, …)]

Representations

In words: thirteen thousand two hundred ninety-one
Ordinal: 13291st
Binary: 11001111101011
Octal: 31753
Hexadecimal: 0x33EB
Base64: M+s=
One's complement: 52,244 (16-bit)
Scientific notation: 1.3291 × 10⁴
As a duration: 13,291 s = 3 hours, 41 minutes, 31 seconds

In other bases

ternary (3) 200020021

quaternary (4) 3033223

quinary (5) 411131

senary (6) 141311

septenary (7) 53515

nonary (9) 20207

undecimal (11) 9a93

duodecimal (12) 7837

tridecimal (13) 6085

tetradecimal (14) 4bb5

pentadecimal (15) 3e11

As an angle

13,291° = 36 × 360° + 331°

331° ≈ 5.777 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵ιγσϟαʹ
Mayan (base 20): 𝋡·𝋭·𝋤·𝋫
Chinese: 一萬三千二百九十一
Chinese (financial): 壹萬參仟貳佰玖拾壹

In other modern scripts

Eastern Arabic ١٣٢٩١ Devanagari १३२९१ Bengali ১৩২৯১ Tamil ௧௩௨௯௧ Thai ๑๓๒๙๑ Tibetan ༡༣༢༩༡ Khmer ១៣២៩១ Lao ໑໓໒໙໑ Burmese ၁၃၂၉၁

Digit at this position in famous constants

π — Pi (π): Digit 13,291 = 2
e — Euler's number (e): Digit 13,291 = 7
φ — Golden ratio (φ): Digit 13,291 = 6
√2 — Pythagoras's (√2): Digit 13,291 = 4
ln 2 — Natural log of 2: Digit 13,291 = 6
γ — Euler-Mascheroni (γ): Digit 13,291 = 8

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 13,267 (gap of 24)
Next prime: 13,297 (gap of 6)

Pair status: sexy with 13297.

Unicode codepoint

㏫

Ideographic Telegraph Symbol For Day Twelve

U+33EB

Other symbol (So)

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

Lookup U+33EB on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0033EB

RGB(0, 51, 235)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.235.

Address: 0.0.51.235
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.51.235

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

Musical pitch

Heard as a frequency, 13,291 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, exact)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +38¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +1¢)

Position in π

The digit sequence 13291 first appears in π at position 109,252 of the decimal expansion (the 109,252ordinal-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 13291 on Pi Search ↗