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163,321

163,321 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.).

163,321 (one hundred sixty-three thousand three hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x27DF9.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
108
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
123,361
Recamán's sequence
a(51,390) = 163,321
Square (n²)
26,673,749,041
Cube (n³)
4,356,383,367,125,161
Divisor count
2
σ(n) — sum of divisors
163,322
φ(n) — Euler's totient
163,320

Primality

163,321 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 163321
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 163,321)
1 × 163321
First multiples
163,321 · 326,642 (double) · 489,963 · 653,284 · 816,605 · 979,926 · 1,143,247 · 1,306,568 · 1,469,889 · 1,633,210

Sums & aliquot sequence

As a sum of two squares: 220² + 339²
As consecutive integers: 81,660 + 81,661

Continued fraction of √n

√163,321 = [404; (7, 1, 2, 3, 2, 1, 1, 6, 4, 1, 13, 1, 1, 1, 2, 6, 2, 1, 3, 1, 1, 2, 5, 1, …)]

Representations

In words
one hundred sixty-three thousand three hundred twenty-one
Ordinal
163321st
Binary
100111110111111001
Octal
476771
Hexadecimal
0x27DF9
Base64
An35
One's complement
4,294,803,974 (32-bit)
Scientific notation
1.63321 × 10⁵
As a duration
163,321 s = 1 day, 21 hours, 22 minutes, 1 second
In other bases
ternary (3) 22022000221
quaternary (4) 213313321
quinary (5) 20211241
senary (6) 3300041
septenary (7) 1250104
nonary (9) 268027
undecimal (11) 101784
duodecimal (12) 7a621
tridecimal (13) 59452
tetradecimal (14) 4373b
pentadecimal (15) 335d1

As an angle

163,321° = 453 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρξγτκαʹ
Chinese
一十六萬三千三百二十一
Chinese (financial)
壹拾陸萬參仟參佰貳拾壹
In other modern scripts
Eastern Arabic ١٦٣٣٢١ Devanagari १६३३२१ Bengali ১৬৩৩২১ Tamil ௧௬௩௩௨௧ Thai ๑๖๓๓๒๑ Tibetan ༡༦༣༣༢༡ Khmer ១៦៣៣២១ Lao ໑໖໓໓໒໑ Burmese ၁၆၃၃၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 163327.

Unicode codepoint
𧷹
CJK Unified Ideograph-27Df9
U+27DF9
Other letter (Lo)

UTF-8 encoding: F0 A7 B7 B9 (4 bytes).

Hex color
#027DF9
RGB(2, 125, 249)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.125.249.

Address
0.2.125.249
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.125.249

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 163,321 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 163321 first appears in π at position 625,368 of the decimal expansion (the 625,368ordinal-suffix:th 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.