Number

10,159

10,159 is a prime, odd.

10,159 (ten thousand one hundred fifty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x27AF.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

10,147 10,148 10,149 10,150 10,151 10,152 10,153 10,154 10,155 10,156 10,157 10,158 10,159 10,160 10,161 10,162 10,163 10,164 10,165 10,166 10,167 10,168 10,169 10,170 10,171

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 14 bits
Reversed: 95,101
Recamán's sequence: a(2,426) = 10,159
Square (n²): 103,205,281
Cube (n³): 1,048,462,449,679
Divisor count: 2
σ(n) — sum of divisors: 10,160
φ(n) — Euler's totient: 10,158

Primality

10,159 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 10159

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 10,159)

1 × 10159

First multiples

10,159 · 20,318 (double) · 30,477 · 40,636 · 50,795 · 60,954 · 71,113 · 81,272 · 91,431 · 101,590

Sums & aliquot sequence

As consecutive integers: 5,079 + 5,080

Continued fraction of √n

√10,159 = [100; (1, 3, 1, 4, 8, 1, 1, 3, 1, 19, 2, 1, 1, 1, 3, 9, 3, 10, 1, 7, 6, 1, 1, 2, …)]

Representations

In words: ten thousand one hundred fifty-nine
Ordinal: 10159th
Binary: 10011110101111
Octal: 23657
Hexadecimal: 0x27AF
Base64: J68=
One's complement: 55,376 (16-bit)
Scientific notation: 1.0159 × 10⁴
As a duration: 10,159 s = 2 hours, 49 minutes, 19 seconds

In other bases

ternary (3) 111221021

quaternary (4) 2132233

quinary (5) 311114

senary (6) 115011

septenary (7) 41422

nonary (9) 14837

undecimal (11) 76a6

duodecimal (12) 5a67

tridecimal (13) 4816

tetradecimal (14) 39b9

pentadecimal (15) 3024

As an angle

10,159° = 28 × 360° + 79°

79° ≈ 1.379 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιρνθʹ
Mayan (base 20): 𝋡·𝋥·𝋧·𝋳
Chinese: 一萬零一百五十九
Chinese (financial): 壹萬零壹佰伍拾玖

In other modern scripts

Eastern Arabic ١٠١٥٩ Devanagari १०१५९ Bengali ১০১৫৯ Tamil ௧௦௧௫௯ Thai ๑๐๑๕๙ Tibetan ༡༠༡༥༩ Khmer ១០១៥៩ Lao ໑໐໑໕໙ Burmese ၁၀၁၅၉

Digit at this position in famous constants

π — Pi (π): Digit 10,159 = 4
e — Euler's number (e): Digit 10,159 = 6
φ — Golden ratio (φ): Digit 10,159 = 7
√2 — Pythagoras's (√2): Digit 10,159 = 4
ln 2 — Natural log of 2: Digit 10,159 = 4
γ — Euler-Mascheroni (γ): Digit 10,159 = 5

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 10,151 (gap of 8)
Next prime: 10,163 (gap of 4)

Pair status: cousin with 10163.

Unicode codepoint

➯

Notched Lower Right-Shadowed White Rightwards Arrow

U+27AF

Other symbol (So)

UTF-8 encoding: E2 9E AF (3 bytes).

Lookup U+27AF on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0027AF

RGB(0, 39, 175)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.175.

Address: 0.0.39.175
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.39.175

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

Musical pitch

Heard as a frequency, 10,159 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +35¢)
Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -27¢)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +36¢)

Position in π

The digit sequence 10159 first appears in π at position 2,955 of the decimal expansion (the 2,955ordinal-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 10159 on Pi Search ↗