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106,836

106,836 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.).

106,836 (one hundred six thousand eight hundred thirty-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 29 × 307. Its proper divisors sum to 151,884, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A154.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
638,601
Recamán's sequence
a(24,320) = 106,836
Square (n²)
11,413,930,896
Cube (n³)
1,219,418,721,205,056
Divisor count
24
σ(n) — sum of divisors
258,720
φ(n) — Euler's totient
34,272
Sum of prime factors
343

Primality

Prime factorization: 2 2 × 3 × 29 × 307

Nearest primes: 106,823 (−13) · 106,853 (+17)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 29 · 58 · 87 · 116 · 174 · 307 · 348 · 614 · 921 · 1228 · 1842 · 3684 · 8903 · 17806 · 26709 · 35612 · 53418 (half) · 106836
Aliquot sum (sum of proper divisors): 151,884
Factor pairs (a × b = 106,836)
1 × 106836
2 × 53418
3 × 35612
4 × 26709
6 × 17806
12 × 8903
29 × 3684
58 × 1842
87 × 1228
116 × 921
174 × 614
307 × 348
First multiples
106,836 · 213,672 (double) · 320,508 · 427,344 · 534,180 · 641,016 · 747,852 · 854,688 · 961,524 · 1,068,360

Sums & aliquot sequence

As consecutive integers: 35,611 + 35,612 + 35,613 13,351 + 13,352 + … + 13,358 4,440 + 4,441 + … + 4,463 3,670 + 3,671 + … + 3,698
Aliquot sequence: 106,836 → 151,884 → 232,136 → 203,134 → 108,194 → 57,694 → 49,154 → 35,134 → 22,394 → 11,200 → 20,296 → 19,304 → 19,096 → 26,984 → 23,626 → 11,816 → 13,624 — unresolved within range

Continued fraction of √n

√106,836 = [326; (1, 6, 32, 1, 1, 5, 3, 25, 1, 5, 28, 3, 1, 12, 1, 1, 2, 3, 4, 1, 1, 1, 12, 5, …)]

Representations

In words
one hundred six thousand eight hundred thirty-six
Ordinal
106836th
Binary
11010000101010100
Octal
320524
Hexadecimal
0x1A154
Base64
AaFU
One's complement
4,294,860,459 (32-bit)
Scientific notation
1.06836 × 10⁵
As a duration
106,836 s = 1 day, 5 hours, 40 minutes, 36 seconds
In other bases
ternary (3) 12102112220
quaternary (4) 122011110
quinary (5) 11404321
senary (6) 2142340
septenary (7) 623322
nonary (9) 172486
undecimal (11) 732a4
duodecimal (12) 519b0
tridecimal (13) 39822
tetradecimal (14) 2ad12
pentadecimal (15) 219c6

As an angle

106,836° = 296 × 360° + 276°
276° ≈ 4.817 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρϛωλϛʹ
Mayan (base 20)
𝋭·𝋧·𝋡·𝋰
Chinese
十萬六千八百三十六
Chinese (financial)
壹拾萬陸仟捌佰參拾陸
In other modern scripts
Eastern Arabic ١٠٦٨٣٦ Devanagari १०६८३६ Bengali ১০৬৮৩৬ Tamil ௧௦௬௮௩௬ Thai ๑๐๖๘๓๖ Tibetan ༡༠༦༨༣༦ Khmer ១០៦៨៣៦ Lao ໑໐໖໘໓໖ Burmese ၁၀၆၈၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106836, here are decompositions:

  • 13 + 106823 = 106836
  • 53 + 106783 = 106836
  • 83 + 106753 = 106836
  • 89 + 106747 = 106836
  • 97 + 106739 = 106836
  • 109 + 106727 = 106836
  • 137 + 106699 = 106836
  • 167 + 106669 = 106836

Showing the first eight; more decompositions exist.

Hex color
#01A154
RGB(1, 161, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.84.

Address
0.1.161.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.161.84

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 106,836 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.