Number

5,171

5,171 is a prime, odd.

5,171 (five thousand one hundred seventy-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1433.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

5,159 5,160 5,161 5,162 5,163 5,164 5,165 5,166 5,167 5,168 5,169 5,170 5,171 5,172 5,173 5,174 5,175 5,176 5,177 5,178 5,179 5,180 5,181 5,182 5,183

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Properties

Parity: Odd
Digit count: 4
Digit sum: 14
Digit product: 35
Digital root: 5
Palindrome: No
Bit width: 13 bits
Reversed: 1,715
Recamán's sequence: a(4,870) = 5,171
Square (n²): 26,739,241
Cube (n³): 138,268,615,211
Divisor count: 2
σ(n) — sum of divisors: 5,172
φ(n) — Euler's totient: 5,170

Primality

5,171 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 5171

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 5,171)

1 × 5171

First multiples

5,171 · 10,342 (double) · 15,513 · 20,684 · 25,855 · 31,026 · 36,197 · 41,368 · 46,539 · 51,710

Sums & aliquot sequence

As consecutive integers: 2,585 + 2,586

Continued fraction of √n

√5,171 = [71; (1, 10, 14, 3, 2, 3, 2, 5, 3, 6, 4, 2, 12, 1, 1, 1, 2, 4, 1, 1, 2, 1, 1, 28, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words: five thousand one hundred seventy-one
Ordinal: 5171st
Binary: 1010000110011
Octal: 12063
Hexadecimal: 0x1433
Base64: FDM=
One's complement: 60,364 (16-bit)
Scientific notation: 5.171 × 10³
As a duration: 5,171 s = 1 hour, 26 minutes, 11 seconds

In other bases

ternary (3) 21002112

quaternary (4) 1100303

quinary (5) 131141

senary (6) 35535

septenary (7) 21035

nonary (9) 7075

undecimal (11) 3981

duodecimal (12) 2bab

tridecimal (13) 247a

tetradecimal (14) 1c55

pentadecimal (15) 17eb

As an angle

5,171° = 14 × 360° + 131°

131° ≈ 2.286 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵εροαʹ
Mayan (base 20): 𝋬·𝋲·𝋫
Chinese: 五千一百七十一
Chinese (financial): 伍仟壹佰柒拾壹

In other modern scripts

Eastern Arabic ٥١٧١ Devanagari ५१७१ Bengali ৫১৭১ Tamil ௫௧௭௧ Thai ๕๑๗๑ Tibetan ༥༡༧༡ Khmer ៥១៧១ Lao ໕໑໗໑ Burmese ၅၁၇၁

Digit at this position in famous constants

π — Pi (π): Digit 5,171 = 1
e — Euler's number (e): Digit 5,171 = 0
φ — Golden ratio (φ): Digit 5,171 = 6
√2 — Pythagoras's (√2): Digit 5,171 = 9
ln 2 — Natural log of 2: Digit 5,171 = 4
γ — Euler-Mascheroni (γ): Digit 5,171 = 3

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 5,167 (gap of 4)
Next prime: 5,179 (gap of 8)

Pair status: cousin with 5167.

Unicode codepoint

ᐳ

Canadian Syllabics Po

U+1433

Other letter (Lo)

UTF-8 encoding: E1 90 B3 (3 bytes).

Lookup U+1433 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001433

RGB(0, 20, 51)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.20.51.

Address: 0.0.20.51
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.20.51

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

Musical pitch

Heard as a frequency, 5,171 Hz is closest to:

Concert pitch (A4 = 440 Hz): E8 (5274 Hz, -34¢)
Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, +3¢)
Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, -33¢)

Position in π

The digit sequence 5171 first appears in π at position 3,538 of the decimal expansion (the 3,538ordinal-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 5171 on Pi Search ↗