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106,406

106,406 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.).

106,406 (one hundred six thousand four hundred six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 83 × 641. Written other ways, in hexadecimal, 0x19FA6.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
604,601
Recamán's sequence
a(252,368) = 106,406
Square (n²)
11,322,236,836
Cube (n³)
1,204,753,932,771,416
Divisor count
8
σ(n) — sum of divisors
161,784
φ(n) — Euler's totient
52,480
Sum of prime factors
726

Primality

Prime factorization: 2 × 83 × 641

Nearest primes: 106,397 (−9) · 106,411 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 83 · 166 · 641 · 1282 · 53203 (half) · 106406
Aliquot sum (sum of proper divisors): 55,378
Factor pairs (a × b = 106,406)
1 × 106406
2 × 53203
83 × 1282
166 × 641
First multiples
106,406 · 212,812 (double) · 319,218 · 425,624 · 532,030 · 638,436 · 744,842 · 851,248 · 957,654 · 1,064,060

Sums & aliquot sequence

As consecutive integers: 26,600 + 26,601 + 26,602 + 26,603 1,241 + 1,242 + … + 1,323 155 + 156 + … + 486
Aliquot sequence: 106,406 → 55,378 → 27,692 → 31,444 → 31,500 → 82,068 → 137,004 → 236,460 → 521,556 → 895,692 → 1,493,044 → 1,493,100 → 4,062,100 → 6,204,170 → 6,645,238 → 3,343,250 → 3,081,454 — unresolved within range

Continued fraction of √n

√106,406 = [326; (5, 59, 9, 5, 1, 4, 1, 1, 4, 65, 50, 5, 1, 10, 4, 2, 7, 1, 4, 2, 1, 25, 2, 2, …)]

Representations

In words
one hundred six thousand four hundred six
Ordinal
106406th
Binary
11001111110100110
Octal
317646
Hexadecimal
0x19FA6
Base64
AZ+m
One's complement
4,294,860,889 (32-bit)
Scientific notation
1.06406 × 10⁵
As a duration
106,406 s = 1 day, 5 hours, 33 minutes, 26 seconds
In other bases
ternary (3) 12101221222
quaternary (4) 121332212
quinary (5) 11401111
senary (6) 2140342
septenary (7) 622136
nonary (9) 171858
undecimal (11) 72a43
duodecimal (12) 516b2
tridecimal (13) 39581
tetradecimal (14) 2aac6
pentadecimal (15) 217db

As an angle

106,406° = 295 × 360° + 206°
206° ≈ 3.595 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρϛυϛʹ
Mayan (base 20)
𝋭·𝋦·𝋠·𝋦
Chinese
十萬六千四百零六
Chinese (financial)
壹拾萬陸仟肆佰零陸
In other modern scripts
Eastern Arabic ١٠٦٤٠٦ Devanagari १०६४०६ Bengali ১০৬৪০৬ Tamil ௧௦௬௪௦௬ Thai ๑๐๖๔๐๖ Tibetan ༡༠༦༤༠༦ Khmer ១០៦៤០៦ Lao ໑໐໖໔໐໖ Burmese ၁၀၆၄၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106406, here are decompositions:

  • 43 + 106363 = 106406
  • 103 + 106303 = 106406
  • 109 + 106297 = 106406
  • 127 + 106279 = 106406
  • 163 + 106243 = 106406
  • 193 + 106213 = 106406
  • 199 + 106207 = 106406
  • 277 + 106129 = 106406

Showing the first eight; more decompositions exist.

Hex color
#019FA6
RGB(1, 159, 166)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.159.166.

Address
0.1.159.166
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.159.166

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 106,406 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 106406 first appears in π at position 92,321 of the decimal expansion (the 92,321ordinal-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.

Related reading

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