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513,473

513,473 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.).

513,473 (five hundred thirteen thousand four hundred seventy-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7D5C1.

Arithmetic Number 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
374,315
Square (n²)
263,654,521,729
Cube (n³)
135,379,478,235,754,817
Divisor count
2
σ(n) — sum of divisors
513,474
φ(n) — Euler's totient
513,472

Primality

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

Divisors & multiples

All divisors (2)
1 · 513473
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 513,473)
1 × 513473
First multiples
513,473 · 1,026,946 (double) · 1,540,419 · 2,053,892 · 2,567,365 · 3,080,838 · 3,594,311 · 4,107,784 · 4,621,257 · 5,134,730

Sums & aliquot sequence

As a sum of two squares: 308² + 647²
As consecutive integers: 256,736 + 256,737

Continued fraction of √n

√513,473 = [716; (1, 1, 3, 17, 1, 5, 1, 10, 2, 1, 15, 13, 1, 5, 1, 2, 12, 3, 129, 1, 24, 1, 1, 2, …)]

Representations

In words
five hundred thirteen thousand four hundred seventy-three
Ordinal
513473rd
Binary
1111101010111000001
Octal
1752701
Hexadecimal
0x7D5C1
Base64
B9XB
One's complement
4,294,453,822 (32-bit)
Scientific notation
5.13473 × 10⁵
As a duration
513,473 s = 5 days, 22 hours, 37 minutes, 53 seconds
In other bases
ternary (3) 222002100112
quaternary (4) 1331113001
quinary (5) 112412343
senary (6) 15001105
septenary (7) 4236002
nonary (9) 862315
undecimal (11) 320864
duodecimal (12) 209195
tridecimal (13) 14c93c
tetradecimal (14) d51a9
pentadecimal (15) a2218

As an angle

513,473° = 1,426 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵φιγυογʹ
Chinese
五十一萬三千四百七十三
Chinese (financial)
伍拾壹萬參仟肆佰柒拾參
In other modern scripts
Eastern Arabic ٥١٣٤٧٣ Devanagari ५१३४७३ Bengali ৫১৩৪৭৩ Tamil ௫௧௩௪௭௩ Thai ๕๑๓๔๗๓ Tibetan ༥༡༣༤༧༣ Khmer ៥១៣៤៧៣ Lao ໕໑໓໔໗໓ Burmese ၅၁၃၄၇၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 513479.

Hex color
#07D5C1
RGB(7, 213, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.193.

Address
0.7.213.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.213.193

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 513,473 and was likely granted around 1893.

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

Position in π

The digit sequence 513473 first appears in π at position 235,375 of the decimal expansion (the 235,375ordinal-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.