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470,461

470,461 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.).

470,461 (four hundred seventy thousand four hundred sixty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x72DBD.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
164,074
Square (n²)
221,333,552,521
Cube (n³)
104,128,804,452,582,181
Divisor count
2
σ(n) — sum of divisors
470,462
φ(n) — Euler's totient
470,460

Primality

470,461 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 470461
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 470,461)
1 × 470461
First multiples
470,461 · 940,922 (double) · 1,411,383 · 1,881,844 · 2,352,305 · 2,822,766 · 3,293,227 · 3,763,688 · 4,234,149 · 4,704,610

Sums & aliquot sequence

As a sum of two squares: 219² + 650²
As consecutive integers: 235,230 + 235,231

Continued fraction of √n

√470,461 = [685; (1, 9, 6, 6, 9, 1, 1370)]

Period length 7 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy thousand four hundred sixty-one
Ordinal
470461st
Binary
1110010110110111101
Octal
1626675
Hexadecimal
0x72DBD
Base64
By29
One's complement
4,294,496,834 (32-bit)
Scientific notation
4.70461 × 10⁵
As a duration
470,461 s = 5 days, 10 hours, 41 minutes, 1 second
In other bases
ternary (3) 212220100111
quaternary (4) 1302312331
quinary (5) 110023321
senary (6) 14030021
septenary (7) 3666415
nonary (9) 786314
undecimal (11) 2a1512
duodecimal (12) 1a8311
tridecimal (13) 1361a4
tetradecimal (14) c3645
pentadecimal (15) 945e1

As an angle

470,461° = 1,306 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵υουξαʹ
Chinese
四十七萬零四百六十一
Chinese (financial)
肆拾柒萬零肆佰陸拾壹
In other modern scripts
Eastern Arabic ٤٧٠٤٦١ Devanagari ४७०४६१ Bengali ৪৭০৪৬১ Tamil ௪௭௦௪௬௧ Thai ๔๗๐๔๖๑ Tibetan ༤༧༠༤༦༡ Khmer ៤៧០៤៦១ Lao ໔໗໐໔໖໑ Burmese ၄၇၀၄၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#072DBD
RGB(7, 45, 189)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.45.189.

Address
0.7.45.189
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.45.189

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 470,461 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 470461 first appears in π at position 364,425 of the decimal expansion (the 364,425ordinal-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.