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513,173

513,173 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.).

513,173 (five hundred thirteen thousand one 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, 0x7D495.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
315
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
371,315
Square (n²)
263,346,527,929
Cube (n³)
135,142,327,776,908,717
Divisor count
2
σ(n) — sum of divisors
513,174
φ(n) — Euler's totient
513,172

Primality

513,173 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 513173
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 513,173)
1 × 513173
First multiples
513,173 · 1,026,346 (double) · 1,539,519 · 2,052,692 · 2,565,865 · 3,079,038 · 3,592,211 · 4,105,384 · 4,618,557 · 5,131,730

Sums & aliquot sequence

As a sum of two squares: 473² + 538²
As consecutive integers: 256,586 + 256,587

Continued fraction of √n

√513,173 = [716; (2, 1, 3, 2, 1, 3, 1, 7, 1, 1, 5, 2, 1, 12, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, …)]

Representations

In words
five hundred thirteen thousand one hundred seventy-three
Ordinal
513173rd
Binary
1111101010010010101
Octal
1752225
Hexadecimal
0x7D495
Base64
B9SV
One's complement
4,294,454,122 (32-bit)
Scientific notation
5.13173 × 10⁵
As a duration
513,173 s = 5 days, 22 hours, 32 minutes, 53 seconds
In other bases
ternary (3) 222001221102
quaternary (4) 1331102111
quinary (5) 112410143
senary (6) 14555445
septenary (7) 4235063
nonary (9) 861842
undecimal (11) 320611
duodecimal (12) 208b85
tridecimal (13) 14c76b
tetradecimal (14) d5033
pentadecimal (15) a20b8

As an angle

513,173° = 1,425 × 360° + 173°
173° ≈ 3.019 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵φιγρογʹ
Chinese
五十一萬三千一百七十三
Chinese (financial)
伍拾壹萬參仟壹佰柒拾參
In other modern scripts
Eastern Arabic ٥١٣١٧٣ Devanagari ५१३१७३ Bengali ৫১৩১৭৩ Tamil ௫௧௩௧௭௩ Thai ๕๑๓๑๗๓ Tibetan ༥༡༣༡༧༣ Khmer ៥១៣១៧៣ Lao ໕໑໓໑໗໓ Burmese ၅၁၃၁၇၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 513169.

Hex color
#07D495
RGB(7, 212, 149)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.149.

Address
0.7.212.149
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.212.149

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 513,173 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 513173 first appears in π at position 229,422 of the decimal expansion (the 229,422ordinal-suffix:nd 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.