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136,033

136,033 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.).

136,033 (one hundred thirty-six thousand thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21361.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
330,631
Square (n²)
18,504,977,089
Cube (n³)
2,517,287,548,347,937
Divisor count
2
σ(n) — sum of divisors
136,034
φ(n) — Euler's totient
136,032

Primality

136,033 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136033
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,033)
1 × 136033
First multiples
136,033 · 272,066 (double) · 408,099 · 544,132 · 680,165 · 816,198 · 952,231 · 1,088,264 · 1,224,297 · 1,360,330

Sums & aliquot sequence

As a sum of two squares: 248² + 273²
As consecutive integers: 68,016 + 68,017

Continued fraction of √n

√136,033 = [368; (1, 4, 1, 3, 4, 7, 1, 2, 3, 3, 9, 1, 16, 3, 1, 34, 2, 1, 2, 6, 2, 1, 1, 5, …)]

Representations

In words
one hundred thirty-six thousand thirty-three
Ordinal
136033rd
Binary
100001001101100001
Octal
411541
Hexadecimal
0x21361
Base64
AhNh
One's complement
4,294,831,262 (32-bit)
Scientific notation
1.36033 × 10⁵
As a duration
136,033 s = 1 day, 13 hours, 47 minutes, 13 seconds
In other bases
ternary (3) 20220121021
quaternary (4) 201031201
quinary (5) 13323113
senary (6) 2525441
septenary (7) 1104412
nonary (9) 226537
undecimal (11) 93227
duodecimal (12) 66881
tridecimal (13) 49bc1
tetradecimal (14) 37809
pentadecimal (15) 2a48d

As an angle

136,033° = 377 × 360° + 313°
313° ≈ 5.463 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛλγʹ
Mayan (base 20)
𝋱·𝋠·𝋡·𝋭
Chinese
一十三萬六千零三十三
Chinese (financial)
壹拾參萬陸仟零參拾參
In other modern scripts
Eastern Arabic ١٣٦٠٣٣ Devanagari १३६०३३ Bengali ১৩৬০৩৩ Tamil ௧௩௬௦௩௩ Thai ๑๓๖๐๓๓ Tibetan ༡༣༦༠༣༣ Khmer ១៣៦០៣៣ Lao ໑໓໖໐໓໓ Burmese ၁၃၆၀၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 136027.

Unicode codepoint
𡍡
CJK Unified Ideograph-21361
U+21361
Other letter (Lo)

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

Hex color
#021361
RGB(2, 19, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.97.

Address
0.2.19.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.19.97

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 136,033 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 136033 first appears in π at position 364,034 of the decimal expansion (the 364,034ordinal-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.