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135,367

135,367 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.).

135,367 (one hundred thirty-five thousand three hundred sixty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x210C7.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
1,890
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
763,531
Square (n²)
18,324,224,689
Cube (n³)
2,480,495,323,475,863
Divisor count
2
σ(n) — sum of divisors
135,368
φ(n) — Euler's totient
135,366

Primality

135,367 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135367
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,367)
1 × 135367
First multiples
135,367 · 270,734 (double) · 406,101 · 541,468 · 676,835 · 812,202 · 947,569 · 1,082,936 · 1,218,303 · 1,353,670

Sums & aliquot sequence

As consecutive integers: 67,683 + 67,684

Continued fraction of √n

√135,367 = [367; (1, 11, 1, 10, 4, 2, 2, 1, 2, 1, 5, 2, 4, 1, 5, 43, 8, 1, 5, 2, 1, 7, 1, 1, …)]

Representations

In words
one hundred thirty-five thousand three hundred sixty-seven
Ordinal
135367th
Binary
100001000011000111
Octal
410307
Hexadecimal
0x210C7
Base64
AhDH
One's complement
4,294,831,928 (32-bit)
Scientific notation
1.35367 × 10⁵
As a duration
135,367 s = 1 day, 13 hours, 36 minutes, 7 seconds
In other bases
ternary (3) 20212200121
quaternary (4) 201003013
quinary (5) 13312432
senary (6) 2522411
septenary (7) 1102441
nonary (9) 225617
undecimal (11) 92781
duodecimal (12) 66407
tridecimal (13) 497cb
tetradecimal (14) 37491
pentadecimal (15) 2a197

As an angle

135,367° = 376 × 360° + 7°
7° ≈ 0.122 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλετξζʹ
Mayan (base 20)
𝋰·𝋲·𝋨·𝋧
Chinese
一十三萬五千三百六十七
Chinese (financial)
壹拾參萬伍仟參佰陸拾柒
In other modern scripts
Eastern Arabic ١٣٥٣٦٧ Devanagari १३५३६७ Bengali ১৩৫৩৬৭ Tamil ௧௩௫௩௬௭ Thai ๑๓๕๓๖๗ Tibetan ༡༣༥༣༦༧ Khmer ១៣៥៣៦៧ Lao ໑໓໕໓໖໗ Burmese ၁၃၅၃၆၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡃇
CJK Unified Ideograph-210C7
U+210C7
Other letter (Lo)

UTF-8 encoding: F0 A1 83 87 (4 bytes).

Hex color
#0210C7
RGB(2, 16, 199)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.199.

Address
0.2.16.199
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.199

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 135,367 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 135367 first appears in π at position 279,082 of the decimal expansion (the 279,082ordinal-suffix:nd 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.