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164,413

164,413 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.).

164,413 (one hundred sixty-four thousand four hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2823D.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
288
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
314,461
Recamán's sequence
a(52,058) = 164,413
Square (n²)
27,031,634,569
Cube (n³)
4,444,352,134,392,997
Divisor count
2
σ(n) — sum of divisors
164,414
φ(n) — Euler's totient
164,412

Primality

164,413 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 164413
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 164,413)
1 × 164413
First multiples
164,413 · 328,826 (double) · 493,239 · 657,652 · 822,065 · 986,478 · 1,150,891 · 1,315,304 · 1,479,717 · 1,644,130

Sums & aliquot sequence

As a sum of two squares: 53² + 402²
As consecutive integers: 82,206 + 82,207

Continued fraction of √n

√164,413 = [405; (2, 11, 3, 1, 18, 9, 1, 1, 1, 1, 42, 12, 1, 5, 1, 1, 1, 1, 1, 1, 3, 1, 2, 13, …)]

Representations

In words
one hundred sixty-four thousand four hundred thirteen
Ordinal
164413th
Binary
101000001000111101
Octal
501075
Hexadecimal
0x2823D
Base64
AoI9
One's complement
4,294,802,882 (32-bit)
Scientific notation
1.64413 × 10⁵
As a duration
164,413 s = 1 day, 21 hours, 40 minutes, 13 seconds
In other bases
ternary (3) 22100112101
quaternary (4) 220020331
quinary (5) 20230123
senary (6) 3305101
septenary (7) 1253224
nonary (9) 270471
undecimal (11) 102587
duodecimal (12) 7b191
tridecimal (13) 59ab2
tetradecimal (14) 43cbb
pentadecimal (15) 33aad

As an angle

164,413° = 456 × 360° + 253°
253° ≈ 4.416 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρξδυιγʹ
Chinese
一十六萬四千四百一十三
Chinese (financial)
壹拾陸萬肆仟肆佰壹拾參
In other modern scripts
Eastern Arabic ١٦٤٤١٣ Devanagari १६४४१३ Bengali ১৬৪৪১৩ Tamil ௧௬௪௪௧௩ Thai ๑๖๔๔๑๓ Tibetan ༡༦༤༤༡༣ Khmer ១៦៤៤១៣ Lao ໑໖໔໔໑໓ Burmese ၁၆၄၄၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 164419.

Unicode codepoint
𨈽
CJK Unified Ideograph-2823D
U+2823D
Other letter (Lo)

UTF-8 encoding: F0 A8 88 BD (4 bytes).

Hex color
#02823D
RGB(2, 130, 61)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.130.61.

Address
0.2.130.61
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.130.61

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 164,413 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 164413 first appears in π at position 289,305 of the decimal expansion (the 289,305ordinal-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.