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127,133

127,133 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.).

127,133 (one hundred twenty-seven thousand one 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, 0x1F09D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
126
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
331,721
Recamán's sequence
a(499,101) = 127,133
Square (n²)
16,162,799,689
Cube (n³)
2,054,825,212,861,637
Divisor count
2
σ(n) — sum of divisors
127,134
φ(n) — Euler's totient
127,132

Primality

127,133 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 127133
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 127,133)
1 × 127133
First multiples
127,133 · 254,266 (double) · 381,399 · 508,532 · 635,665 · 762,798 · 889,931 · 1,017,064 · 1,144,197 · 1,271,330

Sums & aliquot sequence

As a sum of two squares: 82² + 347²
As consecutive integers: 63,566 + 63,567

Continued fraction of √n

√127,133 = [356; (1, 1, 3, 1, 6, 1, 36, 1, 1, 1, 18, 1, 1, 1, 1, 3, 1, 1, 5, 5, 3, 1, 3, 1, …)]

Period length 53 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-seven thousand one hundred thirty-three
Ordinal
127133rd
Binary
11111000010011101
Octal
370235
Hexadecimal
0x1F09D
Base64
AfCd
One's complement
4,294,840,162 (32-bit)
Scientific notation
1.27133 × 10⁵
As a duration
127,133 s = 1 day, 11 hours, 18 minutes, 53 seconds
In other bases
ternary (3) 20110101122
quaternary (4) 133002131
quinary (5) 13032013
senary (6) 2420325
septenary (7) 1036436
nonary (9) 213348
undecimal (11) 87576
duodecimal (12) 616a5
tridecimal (13) 45b36
tetradecimal (14) 3448d
pentadecimal (15) 27a08

As an angle

127,133° = 353 × 360° + 53°
53° ≈ 0.925 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκζρλγʹ
Mayan (base 20)
𝋯·𝋱·𝋰·𝋭
Chinese
一十二萬七千一百三十三
Chinese (financial)
壹拾貳萬柒仟壹佰參拾參
In other modern scripts
Eastern Arabic ١٢٧١٣٣ Devanagari १२७१३३ Bengali ১২৭১৩৩ Tamil ௧௨௭௧௩௩ Thai ๑๒๗๑๓๓ Tibetan ༡༢༧༡༣༣ Khmer ១២៧១៣៣ Lao ໑໒໗໑໓໓ Burmese ၁၂၇၁၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 127139.

Hex color
#01F09D
RGB(1, 240, 157)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.240.157.

Address
0.1.240.157
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.240.157

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 127,133 and was likely granted around 1872.

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

Position in π

The digit sequence 127133 first appears in π at position 422,610 of the decimal expansion (the 422,610ordinal-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.