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513,731

513,731 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.).

513,731 (five hundred thirteen thousand seven hundred thirty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7D6C3.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Happy Number 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
137,315
Square (n²)
263,919,540,361
Cube (n³)
135,583,649,389,196,891
Divisor count
2
σ(n) — sum of divisors
513,732
φ(n) — Euler's totient
513,730

Primality

513,731 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 513731
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 513,731)
1 × 513731
First multiples
513,731 · 1,027,462 (double) · 1,541,193 · 2,054,924 · 2,568,655 · 3,082,386 · 3,596,117 · 4,109,848 · 4,623,579 · 5,137,310

Sums & aliquot sequence

As consecutive integers: 256,865 + 256,866

Continued fraction of √n

√513,731 = [716; (1, 3, 204, 1, 1, 6, 2, 28, 1, 3, 1, 3, 1, 1, 3, 1, 3, 2, 1, 1, 29, 1, 10, 16, …)]

Representations

In words
five hundred thirteen thousand seven hundred thirty-one
Ordinal
513731st
Binary
1111101011011000011
Octal
1753303
Hexadecimal
0x7D6C3
Base64
B9bD
One's complement
4,294,453,564 (32-bit)
Scientific notation
5.13731 × 10⁵
As a duration
513,731 s = 5 days, 22 hours, 42 minutes, 11 seconds
In other bases
ternary (3) 222002201002
quaternary (4) 1331123003
quinary (5) 112414411
senary (6) 15002215
septenary (7) 4236521
nonary (9) 862632
undecimal (11) 320a79
duodecimal (12) 20936b
tridecimal (13) 14caaa
tetradecimal (14) d5311
pentadecimal (15) a233b

As an angle

513,731° = 1,427 × 360° + 11°
11° ≈ 0.192 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵φιγψλαʹ
Chinese
五十一萬三千七百三十一
Chinese (financial)
伍拾壹萬參仟柒佰參拾壹
In other modern scripts
Eastern Arabic ٥١٣٧٣١ Devanagari ५१३७३१ Bengali ৫১৩৭৩১ Tamil ௫௧௩௭௩௧ Thai ๕๑๓๗๓๑ Tibetan ༥༡༣༧༣༡ Khmer ៥១៣៧៣១ Lao ໕໑໓໗໓໑ Burmese ၅၁၃၇၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 513727.

Hex color
#07D6C3
RGB(7, 214, 195)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.214.195.

Address
0.7.214.195
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.214.195

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 513,731 and was likely granted around 1893.

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

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.