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136,093

136,093 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.).

136,093 (one hundred thirty-six thousand ninety-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2139D.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
390,631
Square (n²)
18,521,304,649
Cube (n³)
2,520,619,913,596,357
Divisor count
2
σ(n) — sum of divisors
136,094
φ(n) — Euler's totient
136,092

Primality

136,093 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136093
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,093)
1 × 136093
First multiples
136,093 · 272,186 (double) · 408,279 · 544,372 · 680,465 · 816,558 · 952,651 · 1,088,744 · 1,224,837 · 1,360,930

Sums & aliquot sequence

As a sum of two squares: 187² + 318²
As consecutive integers: 68,046 + 68,047

Continued fraction of √n

√136,093 = [368; (1, 9, 1, 5, 1, 2, 1, 4, 2, 2, 1, 1, 2, 2, 10, 3, 1, 1, 1, 5, 1, 2, 1, 1, …)]

Representations

In words
one hundred thirty-six thousand ninety-three
Ordinal
136093rd
Binary
100001001110011101
Octal
411635
Hexadecimal
0x2139D
Base64
AhOd
One's complement
4,294,831,202 (32-bit)
Scientific notation
1.36093 × 10⁵
As a duration
136,093 s = 1 day, 13 hours, 48 minutes, 13 seconds
In other bases
ternary (3) 20220200111
quaternary (4) 201032131
quinary (5) 13323333
senary (6) 2530021
septenary (7) 1104526
nonary (9) 226614
undecimal (11) 93281
duodecimal (12) 66911
tridecimal (13) 49c39
tetradecimal (14) 3784d
pentadecimal (15) 2a4cd

As an angle

136,093° = 378 × 360° + 13°
13° ≈ 0.227 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛϟγʹ
Mayan (base 20)
𝋱·𝋠·𝋤·𝋭
Chinese
一十三萬六千零九十三
Chinese (financial)
壹拾參萬陸仟零玖拾參
In other modern scripts
Eastern Arabic ١٣٦٠٩٣ Devanagari १३६०९३ Bengali ১৩৬০৯৩ Tamil ௧௩௬௦௯௩ Thai ๑๓๖๐๙๓ Tibetan ༡༣༦༠༩༣ Khmer ១៣៦០៩៣ Lao ໑໓໖໐໙໓ Burmese ၁၃၆၀၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 136099.

Unicode codepoint
𡎝
CJK Unified Ideograph-2139D
U+2139D
Other letter (Lo)

UTF-8 encoding: F0 A1 8E 9D (4 bytes).

Hex color
#02139D
RGB(2, 19, 157)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.157.

Address
0.2.19.157
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.19.157

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 136,093 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 136093 first appears in π at position 459,617 of the decimal expansion (the 459,617ordinal-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.