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513,427

513,427 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.).

513,427 (five hundred thirteen thousand four hundred twenty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7D593.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
840
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
724,315
Square (n²)
263,607,284,329
Cube (n³)
135,343,097,171,185,483
Divisor count
2
σ(n) — sum of divisors
513,428
φ(n) — Euler's totient
513,426

Primality

513,427 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 513427
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 513,427)
1 × 513427
First multiples
513,427 · 1,026,854 (double) · 1,540,281 · 2,053,708 · 2,567,135 · 3,080,562 · 3,593,989 · 4,107,416 · 4,620,843 · 5,134,270

Sums & aliquot sequence

As consecutive integers: 256,713 + 256,714

Continued fraction of √n

√513,427 = [716; (1, 1, 6, 22, 1, 24, 5, 2, 2, 4, 10, 12, 21, 3, 3, 1, 4, 2, 1, 2, 1, 1, 2, 2, …)]

Representations

In words
five hundred thirteen thousand four hundred twenty-seven
Ordinal
513427th
Binary
1111101010110010011
Octal
1752623
Hexadecimal
0x7D593
Base64
B9WT
One's complement
4,294,453,868 (32-bit)
Scientific notation
5.13427 × 10⁵
As a duration
513,427 s = 5 days, 22 hours, 37 minutes, 7 seconds
In other bases
ternary (3) 222002021211
quaternary (4) 1331112103
quinary (5) 112412202
senary (6) 15000551
septenary (7) 4235605
nonary (9) 862254
undecimal (11) 320822
duodecimal (12) 209157
tridecimal (13) 14c905
tetradecimal (14) d5175
pentadecimal (15) a21d7

As an angle

513,427° = 1,426 × 360° + 67°
67° ≈ 1.169 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιγυκζʹ
Chinese
五十一萬三千四百二十七
Chinese (financial)
伍拾壹萬參仟肆佰貳拾柒
In other modern scripts
Eastern Arabic ٥١٣٤٢٧ Devanagari ५१३४२७ Bengali ৫১৩৪২৭ Tamil ௫௧௩௪௨௭ Thai ๕๑๓๔๒๗ Tibetan ༥༡༣༤༢༧ Khmer ៥១៣៤២៧ Lao ໕໑໓໔໒໗ Burmese ၅၁၃၄၂၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 513431.

Hex color
#07D593
RGB(7, 213, 147)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.147.

Address
0.7.213.147
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.213.147

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 513,427 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.