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164,821

164,821 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.).

164,821 (one hundred sixty-four thousand eight 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, 0x283D5.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
384
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
128,461
Square (n²)
27,165,962,041
Cube (n³)
4,477,521,029,559,661
Divisor count
2
σ(n) — sum of divisors
164,822
φ(n) — Euler's totient
164,820

Primality

164,821 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 164821
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 164,821)
1 × 164821
First multiples
164,821 · 329,642 (double) · 494,463 · 659,284 · 824,105 · 988,926 · 1,153,747 · 1,318,568 · 1,483,389 · 1,648,210

Sums & aliquot sequence

As a sum of two squares: 214² + 345²
As consecutive integers: 82,410 + 82,411

Continued fraction of √n

√164,821 = [405; (1, 53, 7, 1, 1, 3, 13, 4, 202, 1, 2, 1, 12, 1, 3, 1, 1, 1, 1, 3, 1, 12, 1, 2, …)]

Period length 35 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-four thousand eight hundred twenty-one
Ordinal
164821st
Binary
101000001111010101
Octal
501725
Hexadecimal
0x283D5
Base64
AoPV
One's complement
4,294,802,474 (32-bit)
Scientific notation
1.64821 × 10⁵
As a duration
164,821 s = 1 day, 21 hours, 47 minutes, 1 second
In other bases
ternary (3) 22101002111
quaternary (4) 220033111
quinary (5) 20233241
senary (6) 3311021
septenary (7) 1254346
nonary (9) 271074
undecimal (11) 102918
duodecimal (12) 7b471
tridecimal (13) 5a037
tetradecimal (14) 440cd
pentadecimal (15) 33c81

As an angle

164,821° = 457 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρξδωκαʹ
Chinese
一十六萬四千八百二十一
Chinese (financial)
壹拾陸萬肆仟捌佰貳拾壹
In other modern scripts
Eastern Arabic ١٦٤٨٢١ Devanagari १६४८२१ Bengali ১৬৪৮২১ Tamil ௧௬௪௮௨௧ Thai ๑๖๔๘๒๑ Tibetan ༡༦༤༨༢༡ Khmer ១៦៤៨២១ Lao ໑໖໔໘໒໑ Burmese ၁၆၄၈၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𨏕
CJK Unified Ideograph-283D5
U+283D5
Other letter (Lo)

UTF-8 encoding: F0 A8 8F 95 (4 bytes).

Hex color
#0283D5
RGB(2, 131, 213)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.131.213.

Address
0.2.131.213
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.131.213

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 164,821 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 164821 first appears in π at position 649,022 of the decimal expansion (the 649,022ordinal-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.