number.wiki
Number

10,733

10,733 is a prime, odd.

10,733 (ten thousand seven hundred thirty-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x29ED.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
33,701
Recamán's sequence
a(50,053) = 10,733
Square (n²)
115,197,289
Cube (n³)
1,236,412,502,837
Divisor count
2
σ(n) — sum of divisors
10,734
φ(n) — Euler's totient
10,732

Primality

10,733 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 10733
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 10,733)
1 × 10733
First multiples
10,733 · 21,466 (double) · 32,199 · 42,932 · 53,665 · 64,398 · 75,131 · 85,864 · 96,597 · 107,330

Sums & aliquot sequence

As a sum of two squares: 62² + 83²
As consecutive integers: 5,366 + 5,367

Continued fraction of √n

√10,733 = [103; (1, 1, 1, 1, 206)]

Period length 5 — the block in parentheses repeats forever.

Representations

In words
ten thousand seven hundred thirty-three
Ordinal
10733rd
Binary
10100111101101
Octal
24755
Hexadecimal
0x29ED
Base64
Ke0=
One's complement
54,802 (16-bit)
Scientific notation
1.0733 × 10⁴
As a duration
10,733 s = 2 hours, 58 minutes, 53 seconds
In other bases
ternary (3) 112201112
quaternary (4) 2213231
quinary (5) 320413
senary (6) 121405
septenary (7) 43202
nonary (9) 15645
undecimal (11) 8078
duodecimal (12) 6265
tridecimal (13) 4b68
tetradecimal (14) 3ca9
pentadecimal (15) 32a8

As an angle

10,733° = 29 × 360° + 293°
293° ≈ 5.114 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιψλγʹ
Mayan (base 20)
𝋡·𝋦·𝋰·𝋭
Chinese
一萬零七百三十三
Chinese (financial)
壹萬零柒佰參拾參
In other modern scripts
Eastern Arabic ١٠٧٣٣ Devanagari १०७३३ Bengali ১০৭৩৩ Tamil ௧௦௭௩௩ Thai ๑๐๗๓๓ Tibetan ༡༠༧༣༣ Khmer ១០៧៣៣ Lao ໑໐໗໓໓ Burmese ၁၀၇၃၃

Digit at this position in famous constants

π — Pi (π)
Digit 10,733 = 6
e — Euler's number (e)
Digit 10,733 = 5
φ — Golden ratio (φ)
Digit 10,733 = 5
√2 — Pythagoras's (√2)
Digit 10,733 = 2
ln 2 — Natural log of 2
Digit 10,733 = 4
γ — Euler-Mascheroni (γ)
Digit 10,733 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 10,729 (gap of 4)
  • Next prime: 10,739 (gap of 6)

Pair status: cousin with 10729, sexy with 10739.

Unicode codepoint
Black Circle With Down Arrow
U+29ED
Math symbol (Sm)

UTF-8 encoding: E2 A7 AD (3 bytes).

Hex color
#0029ED
RGB(0, 41, 237)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.41.237.

Address
0.0.41.237
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.41.237

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

Musical pitch

Heard as a frequency, 10,733 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, +30¢)
  • Scientific pitch (C4 = 256 Hz): F9 (10935 Hz, -32¢)
  • Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, +31¢)
Position in π

The digit sequence 10733 first appears in π at position 34,571 of the decimal expansion (the 34,571ordinal-suffix:st 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.