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135,347

135,347 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.).

135,347 (one hundred thirty-five thousand three hundred forty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x210B3.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
1,260
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
743,531
Square (n²)
18,318,810,409
Cube (n³)
2,479,396,032,426,923
Divisor count
2
σ(n) — sum of divisors
135,348
φ(n) — Euler's totient
135,346

Primality

135,347 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135347
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,347)
1 × 135347
First multiples
135,347 · 270,694 (double) · 406,041 · 541,388 · 676,735 · 812,082 · 947,429 · 1,082,776 · 1,218,123 · 1,353,470

Sums & aliquot sequence

As consecutive integers: 67,673 + 67,674

Continued fraction of √n

√135,347 = [367; (1, 8, 1, 1, 3, 1, 7, 3, 3, 1, 4, 2, 1, 1, 1, 7, 1, 1, 1, 3, 2, 1, 1, 3, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand three hundred forty-seven
Ordinal
135347th
Binary
100001000010110011
Octal
410263
Hexadecimal
0x210B3
Base64
AhCz
One's complement
4,294,831,948 (32-bit)
Scientific notation
1.35347 × 10⁵
As a duration
135,347 s = 1 day, 13 hours, 35 minutes, 47 seconds
In other bases
ternary (3) 20212122212
quaternary (4) 201002303
quinary (5) 13312342
senary (6) 2522335
septenary (7) 1102412
nonary (9) 225585
undecimal (11) 92763
duodecimal (12) 663ab
tridecimal (13) 497b4
tetradecimal (14) 37479
pentadecimal (15) 2a182

As an angle

135,347° = 375 × 360° + 347°
347° ≈ 6.056 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλετμζʹ
Mayan (base 20)
𝋰·𝋲·𝋧·𝋧
Chinese
一十三萬五千三百四十七
Chinese (financial)
壹拾參萬伍仟參佰肆拾柒
In other modern scripts
Eastern Arabic ١٣٥٣٤٧ Devanagari १३५३४७ Bengali ১৩৫৩৪৭ Tamil ௧௩௫௩௪௭ Thai ๑๓๕๓๔๗ Tibetan ༡༣༥༣༤༧ Khmer ១៣៥៣៤៧ Lao ໑໓໕໓໔໗ Burmese ၁၃၅၃၄၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 135349.

Unicode codepoint
𡂳
CJK Unified Ideograph-210B3
U+210B3
Other letter (Lo)

UTF-8 encoding: F0 A1 82 B3 (4 bytes).

Hex color
#0210B3
RGB(2, 16, 179)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.179.

Address
0.2.16.179
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.179

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 135,347 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 135347 first appears in π at position 81,729 of the decimal expansion (the 81,729ordinal-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.