Live analysis

106,842

106,842 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.).

106,842 (one hundred six thousand eight hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 17,807. Its proper divisors sum to 106,854, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A15A.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

106,830 106,831 106,832 106,833 106,834 106,835 106,836 106,837 106,838 106,839 106,840 106,841 106,842 106,843 106,844 106,845 106,846 106,847 106,848 106,849 106,850 106,851 106,852 106,853 106,854

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 248,601
Recamán's sequence: a(24,332) = 106,842
Square (n²): 11,415,212,964
Cube (n³): 1,219,624,183,499,688
Divisor count: 8
σ(n) — sum of divisors: 213,696
φ(n) — Euler's totient: 35,612
Sum of prime factors: 17,812

Primality

Prime factorization: 2 × 3 × 17807

Nearest primes: 106,823 (−19) · 106,853 (+11)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 17807 · 35614 · 53421 (half) · 106842

Aliquot sum (sum of proper divisors): 106,854

Factor pairs (a × b = 106,842)

1 × 106842

2 × 53421

3 × 35614

6 × 17807

First multiples

106,842 · 213,684 (double) · 320,526 · 427,368 · 534,210 · 641,052 · 747,894 · 854,736 · 961,578 · 1,068,420

Sums & aliquot sequence

As consecutive integers: 35,613 + 35,614 + 35,615 26,709 + 26,710 + 26,711 + 26,712 8,898 + 8,899 + … + 8,909

Aliquot sequence: 106,842 → 106,854 → 126,426 → 139,974 → 147,306 → 147,318 → 154,698 → 190,902 → 190,914 → 199,614 → 249,666 → 249,678 → 392,418 → 573,822 → 689,778 → 804,780 → 1,789,812 — unresolved within range

Continued fraction of √n

√106,842 = [326; (1, 6, 1, 1, 15, 2, 2, 3, 8, 1, 10, 1, 1, 2, 1, 3, 4, 1, 1, 92, 1, 5, 5, 1, …)]

Representations

In words: one hundred six thousand eight hundred forty-two
Ordinal: 106842nd
Binary: 11010000101011010
Octal: 320532
Hexadecimal: 0x1A15A
Base64: AaFa
One's complement: 4,294,860,453 (32-bit)
Scientific notation: 1.06842 × 10⁵
As a duration: 106,842 s = 1 day, 5 hours, 40 minutes, 42 seconds

In other bases

ternary (3) 12102120010

quaternary (4) 122011122

quinary (5) 11404332

senary (6) 2142350

septenary (7) 623331

nonary (9) 172503

undecimal (11) 732aa

duodecimal (12) 519b6

tridecimal (13) 39828

tetradecimal (14) 2ad18

pentadecimal (15) 219cc

As an angle

106,842° = 296 × 360° + 282°

282° ≈ 4.922 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρϛωμβʹ
Mayan (base 20): 𝋭·𝋧·𝋢·𝋢
Chinese: 十萬六千八百四十二
Chinese (financial): 壹拾萬陸仟捌佰肆拾貳

In other modern scripts

Eastern Arabic ١٠٦٨٤٢ Devanagari १०६८४२ Bengali ১০৬৮৪২ Tamil ௧௦௬௮௪௨ Thai ๑๐๖๘๔๒ Tibetan ༡༠༦༨༤༢ Khmer ១០៦៨៤២ Lao ໑໐໖໘໔໒ Burmese ၁၀၆၈၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106842, here are decompositions:

19 + 106823 = 106842
41 + 106801 = 106842
59 + 106783 = 106842
61 + 106781 = 106842
83 + 106759 = 106842
89 + 106753 = 106842
103 + 106739 = 106842
139 + 106703 = 106842

Showing the first eight; more decompositions exist.

Hex color

#01A15A

RGB(1, 161, 90)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.90.

Address: 0.1.161.90
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.161.90

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 106,842 and was likely granted around 1870.

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

Look up US106,842 on Google Patents ↗ Look up on USPTO ↗