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473,513

473,513 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.).

473,513 (four hundred seventy-three 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, 0x739A9.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
1,260
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
315,374
Square (n²)
224,214,561,169
Cube (n³)
106,168,509,502,816,697
Divisor count
2
σ(n) — sum of divisors
473,514
φ(n) — Euler's totient
473,512

Primality

473,513 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 473513
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 473,513)
1 × 473513
First multiples
473,513 · 947,026 (double) · 1,420,539 · 1,894,052 · 2,367,565 · 2,841,078 · 3,314,591 · 3,788,104 · 4,261,617 · 4,735,130

Sums & aliquot sequence

As a sum of two squares: 13² + 688²
As consecutive integers: 236,756 + 236,757

Continued fraction of √n

√473,513 = [688; (8, 7, 171, 1, 8, 8, 3, 85, 1, 2, 3, 1, 1, 3, 2, 2, 42, 1, 1, 2, 16, 5, 2, 21, …)]

Representations

In words
four hundred seventy-three thousand five hundred thirteen
Ordinal
473513th
Binary
1110011100110101001
Octal
1634651
Hexadecimal
0x739A9
Base64
Bzmp
One's complement
4,294,493,782 (32-bit)
Scientific notation
4.73513 × 10⁵
As a duration
473,513 s = 5 days, 11 hours, 31 minutes, 53 seconds
In other bases
ternary (3) 220001112112
quaternary (4) 1303212221
quinary (5) 110123023
senary (6) 14052105
septenary (7) 4011335
nonary (9) 801475
undecimal (11) 2a3837
duodecimal (12) 1aa035
tridecimal (13) 1376b1
tetradecimal (14) c47c5
pentadecimal (15) 95478

As an angle

473,513° = 1,315 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵υογφιγʹ
Chinese
四十七萬三千五百一十三
Chinese (financial)
肆拾柒萬參仟伍佰壹拾參
In other modern scripts
Eastern Arabic ٤٧٣٥١٣ Devanagari ४७३५१३ Bengali ৪৭৩৫১৩ Tamil ௪௭௩௫௧௩ Thai ๔๗๓๕๑๓ Tibetan ༤༧༣༥༡༣ Khmer ៤៧៣៥១៣ Lao ໔໗໓໕໑໓ Burmese ၄၇၃၅၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 473507, sexy with 473519.

Hex color
#0739A9
RGB(7, 57, 169)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.57.169.

Address
0.7.57.169
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.57.169

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 473,513 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 473513 first appears in π at position 811,421 of the decimal expansion (the 811,421ordinal-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.