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470,513

470,513 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.).

470,513 (four hundred seventy 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, 0x72DF1.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
315,074
Square (n²)
221,382,483,169
Cube (n³)
104,163,336,303,295,697
Divisor count
2
σ(n) — sum of divisors
470,514
φ(n) — Euler's totient
470,512

Primality

470,513 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 470513
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 470,513)
1 × 470513
First multiples
470,513 · 941,026 (double) · 1,411,539 · 1,882,052 · 2,352,565 · 2,823,078 · 3,293,591 · 3,764,104 · 4,234,617 · 4,705,130

Sums & aliquot sequence

As a sum of two squares: 433² + 532²
As consecutive integers: 235,256 + 235,257

Continued fraction of √n

√470,513 = [685; (1, 15, 1, 1, 8, 171, 2, 1, 2, 1, 1, 2, 4, 4, 1, 84, 1, 14, 11, 2, 6, 42, 1, 2, …)]

Representations

In words
four hundred seventy thousand five hundred thirteen
Ordinal
470513th
Binary
1110010110111110001
Octal
1626761
Hexadecimal
0x72DF1
Base64
By3x
One's complement
4,294,496,782 (32-bit)
Scientific notation
4.70513 × 10⁵
As a duration
470,513 s = 5 days, 10 hours, 41 minutes, 53 seconds
In other bases
ternary (3) 212220102102
quaternary (4) 1302313301
quinary (5) 110024023
senary (6) 14030145
septenary (7) 3666521
nonary (9) 786372
undecimal (11) 2a155a
duodecimal (12) 1a8355
tridecimal (13) 136214
tetradecimal (14) c3681
pentadecimal (15) 94628

As an angle

470,513° = 1,306 × 360° + 353°
353° ≈ 6.161 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵υοφιγʹ
Chinese
四十七萬零五百一十三
Chinese (financial)
肆拾柒萬零伍佰壹拾參
In other modern scripts
Eastern Arabic ٤٧٠٥١٣ Devanagari ४७०५१३ Bengali ৪৭০৫১৩ Tamil ௪௭௦௫௧௩ Thai ๔๗๐๕๑๓ Tibetan ༤༧༠༥༡༣ Khmer ៤៧០៥១៣ Lao ໔໗໐໕໑໓ Burmese ၄၇၀၅၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#072DF1
RGB(7, 45, 241)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.45.241.

Address
0.7.45.241
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.45.241

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 470,513 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 470513 first appears in π at position 35,225 of the decimal expansion (the 35,225ordinal-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.