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135,842

135,842 is a composite number, even.

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.).

135,842 (one hundred thirty-five thousand eight hundred forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 7 × 31 × 313. Written other ways, in hexadecimal, 0x212A2.

Arithmetic Number Cube-Free Deficient Number Evil Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
960
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
248,531
Square (n²)
18,453,048,964
Cube (n³)
2,506,699,077,367,688
Divisor count
16
σ(n) — sum of divisors
241,152
φ(n) — Euler's totient
56,160
Sum of prime factors
353

Primality

Prime factorization: 2 × 7 × 31 × 313

Nearest primes: 135,841 (−1) · 135,851 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 7 · 14 · 31 · 62 · 217 · 313 · 434 · 626 · 2191 · 4382 · 9703 · 19406 · 67921 (half) · 135842
Aliquot sum (sum of proper divisors): 105,310
Factor pairs (a × b = 135,842)
1 × 135842
2 × 67921
7 × 19406
14 × 9703
31 × 4382
62 × 2191
217 × 626
313 × 434
First multiples
135,842 · 271,684 (double) · 407,526 · 543,368 · 679,210 · 815,052 · 950,894 · 1,086,736 · 1,222,578 · 1,358,420

Sums & aliquot sequence

As consecutive integers: 33,959 + 33,960 + 33,961 + 33,962 19,403 + 19,404 + … + 19,409 4,838 + 4,839 + … + 4,865 4,367 + 4,368 + … + 4,397
Aliquot sequence: 135,842 105,310 84,266 71,638 63,794 32,974 16,490 15,262 9,434 5,146 2,918 1,462 914 460 548 418 302 — unresolved within range

Continued fraction of √n

√135,842 = [368; (1, 1, 3, 4, 1, 9, 1, 1, 3, 368, 3, 1, 1, 9, 1, 4, 3, 1, 1, 736)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand eight hundred forty-two
Ordinal
135842nd
Binary
100001001010100010
Octal
411242
Hexadecimal
0x212A2
Base64
AhKi
One's complement
4,294,831,453 (32-bit)
Scientific notation
1.35842 × 10⁵
As a duration
135,842 s = 1 day, 13 hours, 44 minutes, 2 seconds
In other bases
ternary (3) 20220100012
quaternary (4) 201022202
quinary (5) 13321332
senary (6) 2524522
septenary (7) 1104020
nonary (9) 226305
undecimal (11) 93073
duodecimal (12) 66742
tridecimal (13) 49aa5
tetradecimal (14) 37710
pentadecimal (15) 2a3b2

As an angle

135,842° = 377 × 360° + 122°
122° ≈ 2.129 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλεωμβʹ
Mayan (base 20)
𝋰·𝋳·𝋬·𝋢
Chinese
一十三萬五千八百四十二
Chinese (financial)
壹拾參萬伍仟捌佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٥٨٤٢ Devanagari १३५८४२ Bengali ১৩৫৮৪২ Tamil ௧௩௫௮௪௨ Thai ๑๓๕๘๔๒ Tibetan ༡༣༥༨༤༢ Khmer ១៣៥៨៤២ Lao ໑໓໕໘໔໒ Burmese ၁၃၅၈၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135842, here are decompositions:

  • 13 + 135829 = 135842
  • 43 + 135799 = 135842
  • 61 + 135781 = 135842
  • 181 + 135661 = 135842
  • 193 + 135649 = 135842
  • 229 + 135613 = 135842
  • 241 + 135601 = 135842
  • 271 + 135571 = 135842

Showing the first eight; more decompositions exist.

Unicode codepoint
𡊢
CJK Unified Ideograph-212A2
U+212A2
Other letter (Lo)

UTF-8 encoding: F0 A1 8A A2 (4 bytes).

Hex color
#0212A2
RGB(2, 18, 162)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.162.

Address
0.2.18.162
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.162

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 135,842 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 135842 first appears in π at position 348,718 of the decimal expansion (the 348,718ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.