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Number

6,133

6,133 is a prime, odd.

6,133 (six thousand one hundred thirty-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x17F5.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
13
Digit product
54
Digital root
4
Palindrome
No
Bit width
13 bits
Reversed
3,316
Recamán's sequence
a(12,497) = 6,133
Square (n²)
37,613,689
Cube (n³)
230,684,754,637
Divisor count
2
σ(n) — sum of divisors
6,134
φ(n) — Euler's totient
6,132

Primality

6,133 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 6133
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 6,133)
1 × 6133
First multiples
6,133 · 12,266 (double) · 18,399 · 24,532 · 30,665 · 36,798 · 42,931 · 49,064 · 55,197 · 61,330

Sums & aliquot sequence

As a sum of two squares: 7² + 78²
As consecutive integers: 3,066 + 3,067

Continued fraction of √n

√6,133 = [78; (3, 5, 3, 1, 4, 1, 4, 1, 38, 3, 22, 22, 3, 38, 1, 4, 1, 4, 1, 3, 5, 3, 156)]

Period length 23 — the block in parentheses repeats forever.

Representations

In words
six thousand one hundred thirty-three
Ordinal
6133rd
Binary
1011111110101
Octal
13765
Hexadecimal
0x17F5
Base64
F/U=
One's complement
59,402 (16-bit)
Scientific notation
6.133 × 10³
As a duration
6,133 s = 1 hour, 42 minutes, 13 seconds
In other bases
ternary (3) 22102011
quaternary (4) 1133311
quinary (5) 144013
senary (6) 44221
septenary (7) 23611
nonary (9) 8364
undecimal (11) 4676
duodecimal (12) 3671
tridecimal (13) 2a3a
tetradecimal (14) 2341
pentadecimal (15) 1c3d
Palindromic in base 4

As an angle

6,133° = 17 × 360° + 13°
13° ≈ 0.227 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ϛρλγʹ
Mayan (base 20)
𝋯·𝋦·𝋭
Chinese
六千一百三十三
Chinese (financial)
陸仟壹佰參拾參
In other modern scripts
Eastern Arabic ٦١٣٣ Devanagari ६१३३ Bengali ৬১৩৩ Tamil ௬௧௩௩ Thai ๖๑๓๓ Tibetan ༦༡༣༣ Khmer ៦១៣៣ Lao ໖໑໓໓ Burmese ၆၁၃၃

Digit at this position in famous constants

π — Pi (π)
Digit 6,133 = 2
e — Euler's number (e)
Digit 6,133 = 6
φ — Golden ratio (φ)
Digit 6,133 = 9
√2 — Pythagoras's (√2)
Digit 6,133 = 6
ln 2 — Natural log of 2
Digit 6,133 = 1
γ — Euler-Mascheroni (γ)
Digit 6,133 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 6,131 (gap of 2)
  • Next prime: 6,143 (gap of 10)

Pair status: twin with 6131.

Unicode codepoint
Khmer Symbol Lek Attak Pram
U+17F5
Other number (No)

UTF-8 encoding: E1 9F B5 (3 bytes).

Hex color
#0017F5
RGB(0, 23, 245)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.245.

Address
0.0.23.245
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.23.245

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

Musical pitch

Heard as a frequency, 6,133 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G8 (6271.9 Hz, -39¢)
  • Scientific pitch (C4 = 256 Hz): G8 (6137.1 Hz, -1¢)
  • Baroque pitch (A4 = 415 Hz): G♯8 (6267.3 Hz, -38¢)
Position in π

The digit sequence 6133 first appears in π at position 5,396 of the decimal expansion (the 5,396ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.