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136,397

136,397 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.).

136,397 (one hundred thirty-six thousand three hundred ninety-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x214CD.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
3,402
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
793,631
Square (n²)
18,604,141,609
Cube (n³)
2,537,549,103,042,773
Divisor count
2
σ(n) — sum of divisors
136,398
φ(n) — Euler's totient
136,396

Primality

136,397 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136397
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,397)
1 × 136397
First multiples
136,397 · 272,794 (double) · 409,191 · 545,588 · 681,985 · 818,382 · 954,779 · 1,091,176 · 1,227,573 · 1,363,970

Sums & aliquot sequence

As a sum of two squares: 214² + 301²
As consecutive integers: 68,198 + 68,199

Continued fraction of √n

√136,397 = [369; (3, 7, 1, 3, 1, 1, 1, 1, 1, 13, 1, 1, 2, 1, 1, 25, 1, 3, 1, 13, 7, 4, 6, 1, …)]

Representations

In words
one hundred thirty-six thousand three hundred ninety-seven
Ordinal
136397th
Binary
100001010011001101
Octal
412315
Hexadecimal
0x214CD
Base64
AhTN
One's complement
4,294,830,898 (32-bit)
Scientific notation
1.36397 × 10⁵
As a duration
136,397 s = 1 day, 13 hours, 53 minutes, 17 seconds
In other bases
ternary (3) 20221002202
quaternary (4) 201103031
quinary (5) 13331042
senary (6) 2531245
septenary (7) 1105442
nonary (9) 227082
undecimal (11) 93528
duodecimal (12) 66b25
tridecimal (13) 4a111
tetradecimal (14) 379c9
pentadecimal (15) 2a632

As an angle

136,397° = 378 × 360° + 317°
317° ≈ 5.533 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛτϟζʹ
Mayan (base 20)
𝋱·𝋠·𝋳·𝋱
Chinese
一十三萬六千三百九十七
Chinese (financial)
壹拾參萬陸仟參佰玖拾柒
In other modern scripts
Eastern Arabic ١٣٦٣٩٧ Devanagari १३६३९७ Bengali ১৩৬৩৯৭ Tamil ௧௩௬௩௯௭ Thai ๑๓๖๓๙๗ Tibetan ༡༣༦༣༩༧ Khmer ១៣៦៣៩៧ Lao ໑໓໖໓໙໗ Burmese ၁၃၆၃၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 136399, cousin with 136393.

Unicode codepoint
𡓍
CJK Unified Ideograph-214Cd
U+214CD
Other letter (Lo)

UTF-8 encoding: F0 A1 93 8D (4 bytes).

Hex color
#0214CD
RGB(2, 20, 205)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.20.205.

Address
0.2.20.205
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.20.205

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 136,397 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.