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Number

5,167

5,167 is a prime, odd.

5,167 (five thousand one hundred sixty-seven) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x142F.

Arithmetic Number Centered Hexagonal Chen Prime Cousin Prime Cuban Prime Cube-Free Deficient Number Left-Truncatable Prime Odious Number Pernicious Number Prime Recamán's Sequence Squarefree

Interestingness

10 notable facts · grade A
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Properties

Parity
Odd
Digit count
4
Digit sum
19
Digit product
210
Digital root
1
Palindrome
No
Bit width
13 bits
Reversed
7,615
Recamán's sequence
a(4,878) = 5,167
Square (n²)
26,697,889
Cube (n³)
137,947,992,463
Divisor count
2
σ(n) — sum of divisors
5,168
φ(n) — Euler's totient
5,166

Primality

5,167 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 5167
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 5,167)
1 × 5167
First multiples
5,167 · 10,334 (double) · 15,501 · 20,668 · 25,835 · 31,002 · 36,169 · 41,336 · 46,503 · 51,670

Sums & aliquot sequence

As consecutive integers: 2,583 + 2,584

Continued fraction of √n

√5,167 = [71; (1, 7, 2, 6, 2, 1, 1, 1, 47, 3, 2, 2, 20, 7, 1, 15, 10, 4, 1, 6, 23, 1, 4, 2, …)]

Representations

In words
five thousand one hundred sixty-seven
Ordinal
5167th
Binary
1010000101111
Octal
12057
Hexadecimal
0x142F
Base64
FC8=
One's complement
60,368 (16-bit)
Scientific notation
5.167 × 10³
As a duration
5,167 s = 1 hour, 26 minutes, 7 seconds
In other bases
ternary (3) 21002101
quaternary (4) 1100233
quinary (5) 131132
senary (6) 35531
septenary (7) 21031
nonary (9) 7071
undecimal (11) 3978
duodecimal (12) 2ba7
tridecimal (13) 2476
tetradecimal (14) 1c51
pentadecimal (15) 17e7

As an angle

5,167° = 14 × 360° + 127°
127° ≈ 2.217 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ερξζʹ
Mayan (base 20)
𝋬·𝋲·𝋧
Chinese
五千一百六十七
Chinese (financial)
伍仟壹佰陸拾柒
In other modern scripts
Eastern Arabic ٥١٦٧ Devanagari ५१६७ Bengali ৫১৬৭ Tamil ௫௧௬௭ Thai ๕๑๖๗ Tibetan ༥༡༦༧ Khmer ៥១៦៧ Lao ໕໑໖໗ Burmese ၅၁၆၇

Digit at this position in famous constants

π — Pi (π)
Digit 5,167 = 2
e — Euler's number (e)
Digit 5,167 = 5
φ — Golden ratio (φ)
Digit 5,167 = 3
√2 — Pythagoras's (√2)
Digit 5,167 = 0
ln 2 — Natural log of 2
Digit 5,167 = 8
γ — Euler-Mascheroni (γ)
Digit 5,167 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 5,153 (gap of 14)
  • Next prime: 5,171 (gap of 4)

Pair status: cousin with 5171.

Unicode codepoint
Canadian Syllabics Pe
U+142F
Other letter (Lo)

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

Hex color
#00142F
RGB(0, 20, 47)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.20.47.

Address
0.0.20.47
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.20.47

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

Musical pitch

Heard as a frequency, 5,167 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E8 (5274 Hz, -35¢)
  • Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, +2¢)
  • Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, -34¢)
Position in π

The digit sequence 5167 first appears in π at position 5,032 of the decimal expansion (the 5,032ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.