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136,337

136,337 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.).

136,337 (one hundred thirty-six thousand three hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21491.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
1,134
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
733,631
Square (n²)
18,587,777,569
Cube (n³)
2,534,201,830,424,753
Divisor count
2
σ(n) — sum of divisors
136,338
φ(n) — Euler's totient
136,336

Primality

136,337 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136337
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,337)
1 × 136337
First multiples
136,337 · 272,674 (double) · 409,011 · 545,348 · 681,685 · 818,022 · 954,359 · 1,090,696 · 1,227,033 · 1,363,370

Sums & aliquot sequence

As a sum of two squares: 191² + 316²
As consecutive integers: 68,168 + 68,169

Continued fraction of √n

√136,337 = [369; (4, 5, 7, 8, 3, 1, 22, 3, 7, 1, 31, 4, 2, 1, 1, 3, 1, 2, 9, 1, 3, 9, 10, 1, …)]

Representations

In words
one hundred thirty-six thousand three hundred thirty-seven
Ordinal
136337th
Binary
100001010010010001
Octal
412221
Hexadecimal
0x21491
Base64
AhSR
One's complement
4,294,830,958 (32-bit)
Scientific notation
1.36337 × 10⁵
As a duration
136,337 s = 1 day, 13 hours, 52 minutes, 17 seconds
In other bases
ternary (3) 20221000112
quaternary (4) 201102101
quinary (5) 13330322
senary (6) 2531105
septenary (7) 1105325
nonary (9) 227015
undecimal (11) 93483
duodecimal (12) 66a95
tridecimal (13) 4a096
tetradecimal (14) 37985
pentadecimal (15) 2a5e2

As an angle

136,337° = 378 × 360° + 257°
257° ≈ 4.485 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛτλζʹ
Mayan (base 20)
𝋱·𝋠·𝋰·𝋱
Chinese
一十三萬六千三百三十七
Chinese (financial)
壹拾參萬陸仟參佰參拾柒
In other modern scripts
Eastern Arabic ١٣٦٣٣٧ Devanagari १३६३३७ Bengali ১৩৬৩৩৭ Tamil ௧௩௬௩௩௭ Thai ๑๓๖๓๓๗ Tibetan ༡༣༦༣༣༧ Khmer ១៣៦៣៣៧ Lao ໑໓໖໓໓໗ Burmese ၁၃၆၃၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 136333, sexy with 136343.

Unicode codepoint
𡒑
CJK Unified Ideograph-21491
U+21491
Other letter (Lo)

UTF-8 encoding: F0 A1 92 91 (4 bytes).

Hex color
#021491
RGB(2, 20, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.20.145.

Address
0.2.20.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.20.145

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 136,337 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 136337 first appears in π at position 154,084 of the decimal expansion (the 154,084ordinal-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.