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135,743

135,743 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.).

135,743 (one hundred thirty-five thousand seven hundred forty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2123F.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
1,260
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
347,531
Square (n²)
18,426,162,049
Cube (n³)
2,501,222,515,017,407
Divisor count
2
σ(n) — sum of divisors
135,744
φ(n) — Euler's totient
135,742

Primality

135,743 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135743
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,743)
1 × 135743
First multiples
135,743 · 271,486 (double) · 407,229 · 542,972 · 678,715 · 814,458 · 950,201 · 1,085,944 · 1,221,687 · 1,357,430

Sums & aliquot sequence

As consecutive integers: 67,871 + 67,872

Continued fraction of √n

√135,743 = [368; (2, 3, 4, 6, 1, 1, 8, 1, 3, 1, 3, 3, 8, 1, 1, 2, 1, 367, 1, 2, 1, 1, 8, 3, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand seven hundred forty-three
Ordinal
135743rd
Binary
100001001000111111
Octal
411077
Hexadecimal
0x2123F
Base64
AhI/
One's complement
4,294,831,552 (32-bit)
Scientific notation
1.35743 × 10⁵
As a duration
135,743 s = 1 day, 13 hours, 42 minutes, 23 seconds
In other bases
ternary (3) 20220012112
quaternary (4) 201020333
quinary (5) 13320433
senary (6) 2524235
septenary (7) 1103516
nonary (9) 226175
undecimal (11) 92a93
duodecimal (12) 6667b
tridecimal (13) 49a2a
tetradecimal (14) 3767d
pentadecimal (15) 2a348

As an angle

135,743° = 377 × 360° + 23°
23° ≈ 0.401 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλεψμγʹ
Mayan (base 20)
𝋰·𝋳·𝋧·𝋣
Chinese
一十三萬五千七百四十三
Chinese (financial)
壹拾參萬伍仟柒佰肆拾參
In other modern scripts
Eastern Arabic ١٣٥٧٤٣ Devanagari १३५७४३ Bengali ১৩৫৭৪৩ Tamil ௧௩௫௭௪௩ Thai ๑๓๕๗๔๓ Tibetan ༡༣༥༧༤༣ Khmer ១៣៥៧៤៣ Lao ໑໓໕໗໔໓ Burmese ၁၃၅၇၄၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡈿
CJK Unified Ideograph-2123F
U+2123F
Other letter (Lo)

UTF-8 encoding: F0 A1 88 BF (4 bytes).

Hex color
#02123F
RGB(2, 18, 63)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.63.

Address
0.2.18.63
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.63

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 135,743 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 135743 first appears in π at position 146,584 of the decimal expansion (the 146,584ordinal-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.