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136,309

136,309 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.).

136,309 (one hundred thirty-six thousand three hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21475.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Self Number 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
903,631
Square (n²)
18,580,143,481
Cube (n³)
2,532,640,777,751,629
Divisor count
2
σ(n) — sum of divisors
136,310
φ(n) — Euler's totient
136,308

Primality

136,309 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136309
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,309)
1 × 136309
First multiples
136,309 · 272,618 (double) · 408,927 · 545,236 · 681,545 · 817,854 · 954,163 · 1,090,472 · 1,226,781 · 1,363,090

Sums & aliquot sequence

As a sum of two squares: 222² + 295²
As consecutive integers: 68,154 + 68,155

Continued fraction of √n

√136,309 = [369; (4, 1, 81, 4, 11, 9, 36, 1, 4, 3, 1, 3, 1, 3, 3, 4, 1, 13, 2, 1, 1, 2, 1, 6, …)]

Representations

In words
one hundred thirty-six thousand three hundred nine
Ordinal
136309th
Binary
100001010001110101
Octal
412165
Hexadecimal
0x21475
Base64
AhR1
One's complement
4,294,830,986 (32-bit)
Scientific notation
1.36309 × 10⁵
As a duration
136,309 s = 1 day, 13 hours, 51 minutes, 49 seconds
In other bases
ternary (3) 20220222111
quaternary (4) 201101311
quinary (5) 13330214
senary (6) 2531021
septenary (7) 1105255
nonary (9) 226874
undecimal (11) 93458
duodecimal (12) 66a71
tridecimal (13) 4a074
tetradecimal (14) 37965
pentadecimal (15) 2a5c4

As an angle

136,309° = 378 × 360° + 229°
229° ≈ 3.997 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛτθʹ
Mayan (base 20)
𝋱·𝋠·𝋯·𝋩
Chinese
一十三萬六千三百零九
Chinese (financial)
壹拾參萬陸仟參佰零玖
In other modern scripts
Eastern Arabic ١٣٦٣٠٩ Devanagari १३६३०९ Bengali ১৩৬৩০৯ Tamil ௧௩௬௩௦௯ Thai ๑๓๖๓๐๙ Tibetan ༡༣༦༣༠༩ Khmer ១៣៦៣០៩ Lao ໑໓໖໓໐໙ Burmese ၁၃၆၃၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 136303.

Unicode codepoint
𡑵
CJK Unified Ideograph-21475
U+21475
Other letter (Lo)

UTF-8 encoding: F0 A1 91 B5 (4 bytes).

Hex color
#021475
RGB(2, 20, 117)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.20.117.

Address
0.2.20.117
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.20.117

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 136,309 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 136309 first appears in π at position 420,414 of the decimal expansion (the 420,414ordinal-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.