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136,733

136,733 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.).

136,733 (one hundred thirty-six thousand seven hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2161D.

Arithmetic Number Balanced 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
337,631
Square (n²)
18,695,913,289
Cube (n³)
2,556,348,311,744,837
Divisor count
2
σ(n) — sum of divisors
136,734
φ(n) — Euler's totient
136,732

Primality

136,733 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136733
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,733)
1 × 136733
First multiples
136,733 · 273,466 (double) · 410,199 · 546,932 · 683,665 · 820,398 · 957,131 · 1,093,864 · 1,230,597 · 1,367,330

Sums & aliquot sequence

As a sum of two squares: 238² + 283²
As consecutive integers: 68,366 + 68,367

Continued fraction of √n

√136,733 = [369; (1, 3, 2, 3, 16, 1, 1, 13, 1, 2, 2, 2, 2, 4, 1, 1, 4, 1, 1, 1, 1, 1, 3, 10, …)]

Representations

In words
one hundred thirty-six thousand seven hundred thirty-three
Ordinal
136733rd
Binary
100001011000011101
Octal
413035
Hexadecimal
0x2161D
Base64
AhYd
One's complement
4,294,830,562 (32-bit)
Scientific notation
1.36733 × 10⁵
As a duration
136,733 s = 1 day, 13 hours, 58 minutes, 53 seconds
In other bases
ternary (3) 20221120012
quaternary (4) 201120131
quinary (5) 13333413
senary (6) 2533005
septenary (7) 1106432
nonary (9) 227505
undecimal (11) 93803
duodecimal (12) 67165
tridecimal (13) 4a30c
tetradecimal (14) 37b89
pentadecimal (15) 2a7a8

As an angle

136,733° = 379 × 360° + 293°
293° ≈ 5.114 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛψλγʹ
Mayan (base 20)
𝋱·𝋡·𝋰·𝋭
Chinese
一十三萬六千七百三十三
Chinese (financial)
壹拾參萬陸仟柒佰參拾參
In other modern scripts
Eastern Arabic ١٣٦٧٣٣ Devanagari १३६७३३ Bengali ১৩৬৭৩৩ Tamil ௧௩௬௭௩௩ Thai ๑๓๖๗๓๓ Tibetan ༡༣༦༧༣༣ Khmer ១៣៦៧៣៣ Lao ໑໓໖໗໓໓ Burmese ၁၃၆၇၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 136727, sexy with 136739.

Unicode codepoint
𡘝
CJK Unified Ideograph-2161D
U+2161D
Other letter (Lo)

UTF-8 encoding: F0 A1 98 9D (4 bytes).

Hex color
#02161D
RGB(2, 22, 29)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.22.29.

Address
0.2.22.29
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.22.29

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 136,733 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 136733 first appears in π at position 261,660 of the decimal expansion (the 261,660ordinal-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.