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473,441

473,441 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.).

473,441 (four hundred seventy-three thousand four hundred forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x73961.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
1,344
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
144,374
Recamán's sequence
a(138,026) = 473,441
Square (n²)
224,146,380,481
Cube (n³)
106,120,086,521,305,121
Divisor count
2
σ(n) — sum of divisors
473,442
φ(n) — Euler's totient
473,440

Primality

473,441 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 473441
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 473,441)
1 × 473441
First multiples
473,441 · 946,882 (double) · 1,420,323 · 1,893,764 · 2,367,205 · 2,840,646 · 3,314,087 · 3,787,528 · 4,260,969 · 4,734,410

Sums & aliquot sequence

As a sum of two squares: 440² + 529²
As consecutive integers: 236,720 + 236,721

Continued fraction of √n

√473,441 = [688; (14, 5, 2, 1, 2, 1, 1, 4, 2, 2, 1, 6, 2, 2, 1, 1, 1, 2, 6, 1, 46, 1, 1, 2, …)]

Representations

In words
four hundred seventy-three thousand four hundred forty-one
Ordinal
473441st
Binary
1110011100101100001
Octal
1634541
Hexadecimal
0x73961
Base64
Bzlh
One's complement
4,294,493,854 (32-bit)
Scientific notation
4.73441 × 10⁵
As a duration
473,441 s = 5 days, 11 hours, 30 minutes, 41 seconds
In other bases
ternary (3) 220001102212
quaternary (4) 1303211201
quinary (5) 110122231
senary (6) 14051505
septenary (7) 4011203
nonary (9) 801385
undecimal (11) 2a3781
duodecimal (12) 1a9b95
tridecimal (13) 137657
tetradecimal (14) c4773
pentadecimal (15) 9542b

As an angle

473,441° = 1,315 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵υογυμαʹ
Chinese
四十七萬三千四百四十一
Chinese (financial)
肆拾柒萬參仟肆佰肆拾壹
In other modern scripts
Eastern Arabic ٤٧٣٤٤١ Devanagari ४७३४४१ Bengali ৪৭৩৪৪১ Tamil ௪௭௩௪௪௧ Thai ๔๗๓๔๔๑ Tibetan ༤༧༣༤༤༡ Khmer ៤៧៣៤៤១ Lao ໔໗໓໔໔໑ Burmese ၄၇၃၄၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 473443.

Hex color
#073961
RGB(7, 57, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.57.97.

Address
0.7.57.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.57.97

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 473,441 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 473441 first appears in π at position 395,221 of the decimal expansion (the 395,221ordinal-suffix:st 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.