number.wiki
Number

4,133

4,133 is a prime, odd.

4,133 (four 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, 0x1025.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
11
Digit product
36
Digital root
2
Palindrome
No
Bit width
13 bits
Reversed
3,314
Recamán's sequence
a(28,810) = 4,133
Square (n²)
17,081,689
Cube (n³)
70,598,620,637
Divisor count
2
σ(n) — sum of divisors
4,134
φ(n) — Euler's totient
4,132

Primality

4,133 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 4133
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 4,133)
1 × 4133
First multiples
4,133 · 8,266 (double) · 12,399 · 16,532 · 20,665 · 24,798 · 28,931 · 33,064 · 37,197 · 41,330

Sums & aliquot sequence

As a sum of two squares: 17² + 62²
As consecutive integers: 2,066 + 2,067

Continued fraction of √n

√4,133 = [64; (3, 2, 7, 7, 2, 3, 128)]

Period length 7 — the block in parentheses repeats forever.

Representations

In words
four thousand one hundred thirty-three
Ordinal
4133rd
Binary
1000000100101
Octal
10045
Hexadecimal
0x1025
Base64
ECU=
One's complement
61,402 (16-bit)
Scientific notation
4.133 × 10³
As a duration
4,133 s = 1 hour, 8 minutes, 53 seconds
In other bases
ternary (3) 12200002
quaternary (4) 1000211
quinary (5) 113013
senary (6) 31045
septenary (7) 15023
nonary (9) 5602
undecimal (11) 3118
duodecimal (12) 2485
tridecimal (13) 1b5c
tetradecimal (14) 1713
pentadecimal (15) 1358

As an angle

4,133° = 11 × 360° + 173°
173° ≈ 3.019 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵δρλγʹ
Mayan (base 20)
𝋪·𝋦·𝋭
Chinese
四千一百三十三
Chinese (financial)
肆仟壹佰參拾參
In other modern scripts
Eastern Arabic ٤١٣٣ Devanagari ४१३३ Bengali ৪১৩৩ Tamil ௪௧௩௩ Thai ๔๑๓๓ Tibetan ༤༡༣༣ Khmer ៤១៣៣ Lao ໔໑໓໓ Burmese ၄၁၃၃

Digit at this position in famous constants

π — Pi (π)
Digit 4,133 = 0
e — Euler's number (e)
Digit 4,133 = 4
φ — Golden ratio (φ)
Digit 4,133 = 8
√2 — Pythagoras's (√2)
Digit 4,133 = 4
ln 2 — Natural log of 2
Digit 4,133 = 9
γ — Euler-Mascheroni (γ)
Digit 4,133 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 4,129 (gap of 4)
  • Next prime: 4,139 (gap of 6)

Pair status: cousin with 4129, sexy with 4139.

Unicode codepoint
Myanmar Letter U
U+1025
Other letter (Lo)

UTF-8 encoding: E1 80 A5 (3 bytes).

Hex color
#001025
RGB(0, 16, 37)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.37.

Address
0.0.16.37
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.37

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

Musical pitch

Heard as a frequency, 4,133 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -22¢)
  • Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, +16¢)
  • Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -21¢)
Position in π

The digit sequence 4133 first appears in π at position 7,183 of the decimal expansion (the 7,183ordinal-suffix:rd 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.