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106,802

106,802 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.).

106,802 (one hundred six thousand eight hundred two) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 53,401. Written other ways, in hexadecimal, 0x1A132.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
208,601
Recamán's sequence
a(81,659) = 106,802
Square (n²)
11,406,667,204
Cube (n³)
1,218,254,870,721,608
Divisor count
4
σ(n) — sum of divisors
160,206
φ(n) — Euler's totient
53,400
Sum of prime factors
53,403

Primality

Prime factorization: 2 × 53401

Nearest primes: 106,801 (−1) · 106,823 (+21)

Divisors & multiples

All divisors (4)
1 · 2 · 53401 (half) · 106802
Aliquot sum (sum of proper divisors): 53,404
Factor pairs (a × b = 106,802)
1 × 106802
2 × 53401
First multiples
106,802 · 213,604 (double) · 320,406 · 427,208 · 534,010 · 640,812 · 747,614 · 854,416 · 961,218 · 1,068,020

Sums & aliquot sequence

As a sum of two squares: 71² + 319²
As consecutive integers: 26,699 + 26,700 + 26,701 + 26,702
Aliquot sequence: 106,802 → 53,404 → 49,076 → 36,814 → 19,346 → 11,434 → 5,720 → 9,400 → 12,920 → 19,480 → 24,440 → 36,040 → 51,440 → 68,344 → 59,816 → 52,354 → 26,180 — unresolved within range

Continued fraction of √n

√106,802 = [326; (1, 4, 6, 1, 3, 18, 1, 27, 2, 7, 1, 3, 1, 1, 2, 6, 1, 20, 4, 1, 1, 4, 20, 1, …)]

Period length 41 — the block in parentheses repeats forever.

Representations

In words
one hundred six thousand eight hundred two
Ordinal
106802nd
Binary
11010000100110010
Octal
320462
Hexadecimal
0x1A132
Base64
AaEy
One's complement
4,294,860,493 (32-bit)
Scientific notation
1.06802 × 10⁵
As a duration
106,802 s = 1 day, 5 hours, 40 minutes, 2 seconds
In other bases
ternary (3) 12102111122
quaternary (4) 122010302
quinary (5) 11404202
senary (6) 2142242
septenary (7) 623243
nonary (9) 172448
undecimal (11) 73273
duodecimal (12) 51982
tridecimal (13) 397c7
tetradecimal (14) 2acca
pentadecimal (15) 219a2

As an angle

106,802° = 296 × 360° + 242°
242° ≈ 4.224 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian)
͵ρϛωβʹ
Mayan (base 20)
𝋭·𝋧·𝋠·𝋢
Chinese
十萬六千八百零二
Chinese (financial)
壹拾萬陸仟捌佰零貳
In other modern scripts
Eastern Arabic ١٠٦٨٠٢ Devanagari १०६८०२ Bengali ১০৬৮০২ Tamil ௧௦௬௮௦௨ Thai ๑๐๖๘๐๒ Tibetan ༡༠༦༨༠༢ Khmer ១០៦៨០២ Lao ໑໐໖໘໐໒ Burmese ၁၀၆၈၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106802, here are decompositions:

  • 19 + 106783 = 106802
  • 43 + 106759 = 106802
  • 103 + 106699 = 106802
  • 109 + 106693 = 106802
  • 139 + 106663 = 106802
  • 181 + 106621 = 106802
  • 211 + 106591 = 106802
  • 271 + 106531 = 106802

Showing the first eight; more decompositions exist.

Hex color
#01A132
RGB(1, 161, 50)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.50.

Address
0.1.161.50
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.161.50

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 106,802 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 106802 first appears in π at position 13,461 of the decimal expansion (the 13,461ordinal-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.