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470,413

470,413 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.).

470,413 (four hundred seventy 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, 0x72D8D.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
314,074
Square (n²)
221,288,390,569
Cube (n³)
104,096,935,672,734,997
Divisor count
2
σ(n) — sum of divisors
470,414
φ(n) — Euler's totient
470,412

Primality

470,413 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 470413
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 470,413)
1 × 470413
First multiples
470,413 · 940,826 (double) · 1,411,239 · 1,881,652 · 2,352,065 · 2,822,478 · 3,292,891 · 3,763,304 · 4,233,717 · 4,704,130

Sums & aliquot sequence

As a sum of two squares: 278² + 627²
As consecutive integers: 235,206 + 235,207

Continued fraction of √n

√470,413 = [685; (1, 6, 2, 71, 1, 2, 1, 2, 2, 1, 7, 3, 1, 2, 33, 10, 1, 1, 1, 1, 10, 2, 5, 1, …)]

Representations

In words
four hundred seventy thousand four hundred thirteen
Ordinal
470413th
Binary
1110010110110001101
Octal
1626615
Hexadecimal
0x72D8D
Base64
By2N
One's complement
4,294,496,882 (32-bit)
Scientific notation
4.70413 × 10⁵
As a duration
470,413 s = 5 days, 10 hours, 40 minutes, 13 seconds
In other bases
ternary (3) 212220021201
quaternary (4) 1302312031
quinary (5) 110023123
senary (6) 14025501
septenary (7) 3666316
nonary (9) 786251
undecimal (11) 2a1479
duodecimal (12) 1a8291
tridecimal (13) 136168
tetradecimal (14) c360d
pentadecimal (15) 945ad

As an angle

470,413° = 1,306 × 360° + 253°
253° ≈ 4.416 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵υουιγʹ
Chinese
四十七萬零四百一十三
Chinese (financial)
肆拾柒萬零肆佰壹拾參
In other modern scripts
Eastern Arabic ٤٧٠٤١٣ Devanagari ४७०४१३ Bengali ৪৭০৪১৩ Tamil ௪௭௦௪௧௩ Thai ๔๗๐๔๑๓ Tibetan ༤༧༠༤༡༣ Khmer ៤៧០៤១៣ Lao ໔໗໐໔໑໓ Burmese ၄၇၀၄၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 470411, cousin with 470417.

Hex color
#072D8D
RGB(7, 45, 141)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.45.141.

Address
0.7.45.141
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.45.141

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 470,413 and was likely granted around 1891.

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

Position in π

The digit sequence 470413 first appears in π at position 515,356 of the decimal expansion (the 515,356ordinal-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.