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164,201

164,201 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.).

164,201 (one hundred sixty-four thousand two hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x28169.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
102,461
Square (n²)
26,961,968,401
Cube (n³)
4,427,182,173,412,601
Divisor count
2
σ(n) — sum of divisors
164,202
φ(n) — Euler's totient
164,200

Primality

164,201 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 164201
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 164,201)
1 × 164201
First multiples
164,201 · 328,402 (double) · 492,603 · 656,804 · 821,005 · 985,206 · 1,149,407 · 1,313,608 · 1,477,809 · 1,642,010

Sums & aliquot sequence

As a sum of two squares: 176² + 365²
As consecutive integers: 82,100 + 82,101

Continued fraction of √n

√164,201 = [405; (4, 1, 1, 1, 1, 10, 1, 4, 6, 1, 1, 1, 1, 5, 4, 2, 4, 1, 3, 1, 1, 2, 2, 1, …)]

Representations

In words
one hundred sixty-four thousand two hundred one
Ordinal
164201st
Binary
101000000101101001
Octal
500551
Hexadecimal
0x28169
Base64
AoFp
One's complement
4,294,803,094 (32-bit)
Scientific notation
1.64201 × 10⁵
As a duration
164,201 s = 1 day, 21 hours, 36 minutes, 41 seconds
In other bases
ternary (3) 22100020112
quaternary (4) 220011221
quinary (5) 20223301
senary (6) 3304105
septenary (7) 1252502
nonary (9) 270215
undecimal (11) 102404
duodecimal (12) 7b035
tridecimal (13) 5997b
tetradecimal (14) 43ba9
pentadecimal (15) 339bb

As an angle

164,201° = 456 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓏺
Greek (Milesian)
͵ρξδσαʹ
Chinese
一十六萬四千二百零一
Chinese (financial)
壹拾陸萬肆仟貳佰零壹
In other modern scripts
Eastern Arabic ١٦٤٢٠١ Devanagari १६४२०१ Bengali ১৬৪২০১ Tamil ௧௬௪௨௦௧ Thai ๑๖๔๒๐๑ Tibetan ༡༦༤༢༠༡ Khmer ១៦៤២០១ Lao ໑໖໔໒໐໑ Burmese ၁၆၄၂၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𨅩
CJK Unified Ideograph-28169
U+28169
Other letter (Lo)

UTF-8 encoding: F0 A8 85 A9 (4 bytes).

Hex color
#028169
RGB(2, 129, 105)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.129.105.

Address
0.2.129.105
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.129.105

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 164,201 and was likely granted around 1874.

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

Position in π

The digit sequence 164201 first appears in π at position 992 of the decimal expansion (the 992ordinal-suffix:nd 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

  • 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.