Number

10,091

10,091 is a prime, odd.

10,091 (ten thousand ninety-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x276B.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Flippable Odious Number Prime Recamán's Sequence Sophie Germain Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

10 notable facts · grade A

10,079 10,080 10,081 10,082 10,083 10,084 10,085 10,086 10,087 10,088 10,089 10,090 10,091 10,092 10,093 10,094 10,095 10,096 10,097 10,098 10,099 10,100 10,101 10,102 10,103

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 14 bits
Reversed: 19,001
Flips to (rotate 180°): 16,001
Recamán's sequence: a(4,969) = 10,091
Square (n²): 101,828,281
Cube (n³): 1,027,549,183,571
Divisor count: 2
σ(n) — sum of divisors: 10,092
φ(n) — Euler's totient: 10,090

Primality

10,091 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 10091

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 10,091)

1 × 10091

First multiples

10,091 · 20,182 (double) · 30,273 · 40,364 · 50,455 · 60,546 · 70,637 · 80,728 · 90,819 · 100,910

Sums & aliquot sequence

As consecutive integers: 5,045 + 5,046

Continued fraction of √n

√10,091 = [100; (2, 4, 1, 13, 1, 1, 7, 4, 1, 3, 3, 2, 1, 1, 3, 2, 3, 39, 1, 8, 6, 2, 1, 2, …)]

Representations

In words: ten thousand ninety-one
Ordinal: 10091st
Binary: 10011101101011
Octal: 23553
Hexadecimal: 0x276B
Base64: J2s=
One's complement: 55,444 (16-bit)
Scientific notation: 1.0091 × 10⁴
As a duration: 10,091 s = 2 hours, 48 minutes, 11 seconds

In other bases

ternary (3) 111211202

quaternary (4) 2131223

quinary (5) 310331

senary (6) 114415

septenary (7) 41264

nonary (9) 14752

undecimal (11) 7644

duodecimal (12) 5a0b

tridecimal (13) 4793

tetradecimal (14) 396b

pentadecimal (15) 2ecb

As an angle

10,091° = 28 × 360° + 11°

11° ≈ 0.192 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic: 𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵ιϟαʹ
Mayan (base 20): 𝋡·𝋥·𝋤·𝋫
Chinese: 一萬零九十一
Chinese (financial): 壹萬零玖拾壹

In other modern scripts

Eastern Arabic ١٠٠٩١ Devanagari १००९१ Bengali ১০০৯১ Tamil ௧௦௦௯௧ Thai ๑๐๐๙๑ Tibetan ༡༠༠༩༡ Khmer ១០០៩១ Lao ໑໐໐໙໑ Burmese ၁၀၀၉၁

Digit at this position in famous constants

π — Pi (π): Digit 10,091 = 4
e — Euler's number (e): Digit 10,091 = 2
φ — Golden ratio (φ): Digit 10,091 = 0
√2 — Pythagoras's (√2): Digit 10,091 = 9
ln 2 — Natural log of 2: Digit 10,091 = 2
γ — Euler-Mascheroni (γ): Digit 10,091 = 8

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 10,079 (gap of 12)
Next prime: 10,093 (gap of 2)

Pair status: twin with 10093.

Unicode codepoint

❫

Medium Flattened Right Parenthesis Ornament

U+276B

Close punctuation (Pe)

UTF-8 encoding: E2 9D AB (3 bytes).

Lookup U+276B on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00276B

RGB(0, 39, 107)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.107.

Address: 0.0.39.107
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.39.107

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

Musical pitch

Heard as a frequency, 10,091 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +23¢)
Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -39¢)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +25¢)

Position in π

The digit sequence 10091 first appears in π at position 146,080 of the decimal expansion (the 146,080ordinal-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 10091 on Pi Search ↗