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135,467

135,467 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.).

135,467 (one hundred thirty-five thousand four 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, 0x2112B.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Safe Prime Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
2,520
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
764,531
Square (n²)
18,351,308,089
Cube (n³)
2,485,996,652,892,563
Divisor count
2
σ(n) — sum of divisors
135,468
φ(n) — Euler's totient
135,466

Primality

135,467 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135467
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,467)
1 × 135467
First multiples
135,467 · 270,934 (double) · 406,401 · 541,868 · 677,335 · 812,802 · 948,269 · 1,083,736 · 1,219,203 · 1,354,670

Sums & aliquot sequence

As consecutive integers: 67,733 + 67,734

Continued fraction of √n

√135,467 = [368; (17, 8, 1, 1, 367, 1, 1, 8, 17, 736)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand four hundred sixty-seven
Ordinal
135467th
Binary
100001000100101011
Octal
410453
Hexadecimal
0x2112B
Base64
AhEr
One's complement
4,294,831,828 (32-bit)
Scientific notation
1.35467 × 10⁵
As a duration
135,467 s = 1 day, 13 hours, 37 minutes, 47 seconds
In other bases
ternary (3) 20212211022
quaternary (4) 201010223
quinary (5) 13313332
senary (6) 2523055
septenary (7) 1102643
nonary (9) 225738
undecimal (11) 92862
duodecimal (12) 6648b
tridecimal (13) 49877
tetradecimal (14) 37523
pentadecimal (15) 2a212

As an angle

135,467° = 376 × 360° + 107°
107° ≈ 1.868 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλευξζʹ
Mayan (base 20)
𝋰·𝋲·𝋭·𝋧
Chinese
一十三萬五千四百六十七
Chinese (financial)
壹拾參萬伍仟肆佰陸拾柒
In other modern scripts
Eastern Arabic ١٣٥٤٦٧ Devanagari १३५४६७ Bengali ১৩৫৪৬৭ Tamil ௧௩௫௪௬௭ Thai ๑๓๕๔๖๗ Tibetan ༡༣༥༤༦༧ Khmer ១៣៥៤៦៧ Lao ໑໓໕໔໖໗ Burmese ၁၃၅၄၆၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 135469, cousin with 135463.

Unicode codepoint
𡄫
CJK Unified Ideograph-2112B
U+2112B
Other letter (Lo)

UTF-8 encoding: F0 A1 84 AB (4 bytes).

Hex color
#02112B
RGB(2, 17, 43)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.17.43.

Address
0.2.17.43
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.17.43

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 135,467 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 135467 first appears in π at position 238,784 of the decimal expansion (the 238,784ordinal-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.