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Number

5,189

5,189 is a prime, odd.

5,189 (five thousand one hundred eighty-nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1445.

Arithmetic Number Binary Palindrome Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
23
Digit product
360
Digital root
5
Palindrome
No
Bit width
13 bits
Reversed
9,815
Recamán's sequence
a(4,834) = 5,189
Square (n²)
26,925,721
Cube (n³)
139,717,566,269
Divisor count
2
σ(n) — sum of divisors
5,190
φ(n) — Euler's totient
5,188

Primality

5,189 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 5189
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 5,189)
1 × 5189
First multiples
5,189 · 10,378 (double) · 15,567 · 20,756 · 25,945 · 31,134 · 36,323 · 41,512 · 46,701 · 51,890

Sums & aliquot sequence

As a sum of two squares: 17² + 70²
As consecutive integers: 2,594 + 2,595

Continued fraction of √n

√5,189 = [72; (28, 1, 4, 5, 1, 1, 3, 1, 1, 2, 1, 19, 1, 6, 3, 1, 35, 3, 1, 6, 2, 4, 1, 2, …)]

Period length 51 — the block in parentheses repeats forever.

Representations

In words
five thousand one hundred eighty-nine
Ordinal
5189th
Binary
1010001000101
Octal
12105
Hexadecimal
0x1445
Base64
FEU=
One's complement
60,346 (16-bit)
Scientific notation
5.189 × 10³
As a duration
5,189 s = 1 hour, 26 minutes, 29 seconds
In other bases
ternary (3) 21010012
quaternary (4) 1101011
quinary (5) 131224
senary (6) 40005
septenary (7) 21062
nonary (9) 7105
undecimal (11) 3998
duodecimal (12) 3005
tridecimal (13) 2492
tetradecimal (14) 1c69
pentadecimal (15) 180e
Palindromic in base 2, base 4

As an angle

5,189° = 14 × 360° + 149°
149° ≈ 2.601 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ερπθʹ
Mayan (base 20)
𝋬·𝋳·𝋩
Chinese
五千一百八十九
Chinese (financial)
伍仟壹佰捌拾玖
In other modern scripts
Eastern Arabic ٥١٨٩ Devanagari ५१८९ Bengali ৫১৮৯ Tamil ௫௧௮௯ Thai ๕๑๘๙ Tibetan ༥༡༨༩ Khmer ៥១៨៩ Lao ໕໑໘໙ Burmese ၅၁၈၉

Digit at this position in famous constants

π — Pi (π)
Digit 5,189 = 5
e — Euler's number (e)
Digit 5,189 = 4
φ — Golden ratio (φ)
Digit 5,189 = 0
√2 — Pythagoras's (√2)
Digit 5,189 = 7
ln 2 — Natural log of 2
Digit 5,189 = 9
γ — Euler-Mascheroni (γ)
Digit 5,189 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 5,179 (gap of 10)
  • Next prime: 5,197 (gap of 8)
Unicode codepoint
Canadian Syllabics West-Cree Pwa
U+1445
Other letter (Lo)

UTF-8 encoding: E1 91 85 (3 bytes).

Hex color
#001445
RGB(0, 20, 69)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.20.69.

Address
0.0.20.69
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.20.69

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

Musical pitch

Heard as a frequency, 5,189 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E8 (5274 Hz, -28¢)
  • Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, +9¢)
  • Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, -27¢)
Position in π

The digit sequence 5189 first appears in π at position 1,714 of the decimal expansion (the 1,714ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.