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127,733

127,733 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

127,733 (one hundred twenty-seven thousand seven hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1F2F5.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
882
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
337,721
Recamán's sequence
a(497,901) = 127,733
Square (n²)
16,315,719,289
Cube (n³)
2,084,055,771,941,837
Divisor count
2
σ(n) — sum of divisors
127,734
φ(n) — Euler's totient
127,732

Primality

127,733 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 127733
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 127,733)
1 × 127733
First multiples
127,733 · 255,466 (double) · 383,199 · 510,932 · 638,665 · 766,398 · 894,131 · 1,021,864 · 1,149,597 · 1,277,330

Sums & aliquot sequence

As a sum of two squares: 242² + 263²
As consecutive integers: 63,866 + 63,867

Continued fraction of √n

√127,733 = [357; (2, 1, 1, 15, 1, 1, 1, 4, 1, 1, 3, 1, 5, 7, 1, 6, 16, 10, 178, 1, 1, 2, 64, 1, …)]

Representations

In words
one hundred twenty-seven thousand seven hundred thirty-three
Ordinal
127733rd
Binary
11111001011110101
Octal
371365
Hexadecimal
0x1F2F5
Base64
AfL1
One's complement
4,294,839,562 (32-bit)
Scientific notation
1.27733 × 10⁵
As a duration
127,733 s = 1 day, 11 hours, 28 minutes, 53 seconds
In other bases
ternary (3) 20111012212
quaternary (4) 133023311
quinary (5) 13041413
senary (6) 2423205
septenary (7) 1041254
nonary (9) 214185
undecimal (11) 87a71
duodecimal (12) 61b05
tridecimal (13) 461a8
tetradecimal (14) 3479b
pentadecimal (15) 27ca8

As an angle

127,733° = 354 × 360° + 293°
293° ≈ 5.114 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκζψλγʹ
Mayan (base 20)
𝋯·𝋳·𝋦·𝋭
Chinese
一十二萬七千七百三十三
Chinese (financial)
壹拾貳萬柒仟柒佰參拾參
In other modern scripts
Eastern Arabic ١٢٧٧٣٣ Devanagari १२७७३३ Bengali ১২৭৭৩৩ Tamil ௧௨௭௭௩௩ Thai ๑๒๗๗๓๓ Tibetan ༡༢༧༧༣༣ Khmer ១២៧៧៣៣ Lao ໑໒໗໗໓໓ Burmese ၁၂၇၇၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 127727, sexy with 127739.

Hex color
#01F2F5
RGB(1, 242, 245)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.242.245.

Address
0.1.242.245
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.242.245

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 127,733 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.