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166,013

166,013 is a prime, odd.

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.).

166,013 (one hundred sixty-six thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2887D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
310,661
Square (n²)
27,560,316,169
Cube (n³)
4,575,370,768,164,197
Divisor count
2
σ(n) — sum of divisors
166,014
φ(n) — Euler's totient
166,012

Primality

166,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 166013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 166,013)
1 × 166013
First multiples
166,013 · 332,026 (double) · 498,039 · 664,052 · 830,065 · 996,078 · 1,162,091 · 1,328,104 · 1,494,117 · 1,660,130

Sums & aliquot sequence

As a sum of two squares: 187² + 362²
As consecutive integers: 83,006 + 83,007

Continued fraction of √n

√166,013 = [407; (2, 4, 4, 1, 2, 1, 17, 1, 3, 1, 1, 1, 1, 6, 4, 5, 2, 5, 2, 2, 6, 6, 15, 1, …)]

Representations

In words
one hundred sixty-six thousand thirteen
Ordinal
166013th
Binary
101000100001111101
Octal
504175
Hexadecimal
0x2887D
Base64
Aoh9
One's complement
4,294,801,282 (32-bit)
Scientific notation
1.66013 × 10⁵
As a duration
166,013 s = 1 day, 22 hours, 6 minutes, 53 seconds
In other bases
ternary (3) 22102201122
quaternary (4) 220201331
quinary (5) 20303023
senary (6) 3320325
septenary (7) 1261001
nonary (9) 272648
undecimal (11) 103801
duodecimal (12) 800a5
tridecimal (13) 5a743
tetradecimal (14) 44701
pentadecimal (15) 342c8

As an angle

166,013° = 461 × 360° + 53°
53° ≈ 0.925 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρξϛιγʹ
Chinese
一十六萬六千零一十三
Chinese (financial)
壹拾陸萬陸仟零壹拾參
In other modern scripts
Eastern Arabic ١٦٦٠١٣ Devanagari १६६०१३ Bengali ১৬৬০১৩ Tamil ௧௬௬௦௧௩ Thai ๑๖๖๐๑๓ Tibetan ༡༦༦༠༡༣ Khmer ១៦៦០១៣ Lao ໑໖໖໐໑໓ Burmese ၁၆၆၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𨡽
CJK Unified Ideograph-2887D
U+2887D
Other letter (Lo)

UTF-8 encoding: F0 A8 A1 BD (4 bytes).

Hex color
#02887D
RGB(2, 136, 125)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.136.125.

Address
0.2.136.125
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.136.125

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 166,013 and was likely granted around 1874.

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

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.