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164,513

164,513 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.).

164,513 (one hundred sixty-four thousand five hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x282A1.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
360
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
315,461
Recamán's sequence
a(472,989) = 164,513
Square (n²)
27,064,527,169
Cube (n³)
4,452,466,558,153,697
Divisor count
2
σ(n) — sum of divisors
164,514
φ(n) — Euler's totient
164,512

Primality

164,513 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 164513
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 164,513)
1 × 164513
First multiples
164,513 · 329,026 (double) · 493,539 · 658,052 · 822,565 · 987,078 · 1,151,591 · 1,316,104 · 1,480,617 · 1,645,130

Sums & aliquot sequence

As a sum of two squares: 233² + 332²
As consecutive integers: 82,256 + 82,257

Continued fraction of √n

√164,513 = [405; (1, 1, 1, 1, 19, 5, 2, 1, 1, 5, 2, 1, 2, 4, 1, 27, 6, 3, 3, 6, 27, 1, 4, 2, …)]

Period length 37 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-four thousand five hundred thirteen
Ordinal
164513th
Binary
101000001010100001
Octal
501241
Hexadecimal
0x282A1
Base64
AoKh
One's complement
4,294,802,782 (32-bit)
Scientific notation
1.64513 × 10⁵
As a duration
164,513 s = 1 day, 21 hours, 41 minutes, 53 seconds
In other bases
ternary (3) 22100200002
quaternary (4) 220022201
quinary (5) 20231023
senary (6) 3305345
septenary (7) 1253426
nonary (9) 270602
undecimal (11) 102668
duodecimal (12) 7b255
tridecimal (13) 59b5b
tetradecimal (14) 43d4d
pentadecimal (15) 33b28

As an angle

164,513° = 456 × 360° + 353°
353° ≈ 6.161 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρξδφιγʹ
Chinese
一十六萬四千五百一十三
Chinese (financial)
壹拾陸萬肆仟伍佰壹拾參
In other modern scripts
Eastern Arabic ١٦٤٥١٣ Devanagari १६४५१३ Bengali ১৬৪৫১৩ Tamil ௧௬௪௫௧௩ Thai ๑๖๔๕๑๓ Tibetan ༡༦༤༥༡༣ Khmer ១៦៤៥១៣ Lao ໑໖໔໕໑໓ Burmese ၁၆၄၅၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𨊡
CJK Unified Ideograph-282A1
U+282A1
Other letter (Lo)

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

Hex color
#0282A1
RGB(2, 130, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.130.161.

Address
0.2.130.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.130.161

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 164,513 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.