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100,006

100,006 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.).
Arithmetic Number Deficient Number Evil Number Flippable Recamán's Sequence Sphenic Number Squarefree

Properties

Parity
Even
Digit count
6
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
600,001
Flips to (rotate 180°)
900,001
Recamán's sequence
a(255,828) = 100,006
Square (n²)
10,001,200,036
Cube (n³)
1,000,180,010,800,216
Divisor count
8
σ(n) — sum of divisors
154,944
φ(n) — Euler's totient
48,360
Sum of prime factors
1,646

Primality

Prime factorization: 2 × 31 × 1613

Nearest primes: 100,003 (−3) · 100,019 (+13)

Divisors & multiples

All divisors (8)
1 · 2 · 31 · 62 · 1613 · 3226 · 50003 (half) · 100006
Aliquot sum (sum of proper divisors): 54,938
Factor pairs (a × b = 100,006)
1 × 100006
2 × 50003
31 × 3226
62 × 1613
First multiples
100,006 · 200,012 (double) · 300,018 · 400,024 · 500,030 · 600,036 · 700,042 · 800,048 · 900,054 · 1,000,060

Sums & aliquot sequence

As consecutive integers: 25,000 + 25,001 + 25,002 + 25,003 3,211 + 3,212 + … + 3,241 745 + 746 + … + 868
Aliquot sequence: 100,006 54,938 33,850 29,204 30,646 26,954 13,480 16,940 27,748 27,804 46,564 46,620 119,364 216,636 361,284 799,932 1,377,348 — unresolved within range

Representations

In words
one hundred thousand six
Ordinal
100006th
Binary
11000011010100110
Octal
303246
Hexadecimal
0x186A6
Base64
AYam
One's complement
4,294,867,289 (32-bit)
In other bases
ternary (3) 12002011221
quaternary (4) 120122212
quinary (5) 11200011
senary (6) 2050554
septenary (7) 564364
nonary (9) 162157
undecimal (11) 69155
duodecimal (12) 49a5a
tridecimal (13) 3669a
tetradecimal (14) 28634
pentadecimal (15) 1e971

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρϛʹ
Mayan (base 20)
𝋬·𝋪·𝋠·𝋦
Chinese
一十萬零六
Chinese (financial)
壹拾萬零陸
In other modern scripts
Eastern Arabic ١٠٠٠٠٦ Devanagari १००००६ Bengali ১০০০০৬ Tamil ௧௦௦௦௦௬ Thai ๑๐๐๐๐๖ Tibetan ༡༠༠༠༠༦ Khmer ១០០០០៦ Lao ໑໐໐໐໐໖ Burmese ၁၀၀၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100006, here are decompositions:

  • 3 + 100003 = 100006
  • 17 + 99989 = 100006
  • 83 + 99923 = 100006
  • 167 + 99839 = 100006
  • 173 + 99833 = 100006
  • 197 + 99809 = 100006
  • 239 + 99767 = 100006
  • 293 + 99713 = 100006

Showing the first eight; more decompositions exist.

Unicode codepoint
𘚦
Tangut Ideograph-186A6
U+186A6
Other letter (Lo)

UTF-8 encoding: F0 98 9A A6 (4 bytes).

Hex color
#0186A6
RGB(1, 134, 166)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.134.166.

Address
0.1.134.166
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.134.166

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 100,006 and was likely granted around 1870.

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

Position in π

The digit sequence 100006 first appears in π at position 387,791 of the decimal expansion (the 387,791ordinal-suffix:st 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.