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513,407

513,407 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.).

513,407 (five hundred thirteen thousand four hundred seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7D57F.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
704,315
Square (n²)
263,586,747,649
Cube (n³)
135,327,281,350,230,143
Divisor count
2
σ(n) — sum of divisors
513,408
φ(n) — Euler's totient
513,406

Primality

513,407 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 513407
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 513,407)
1 × 513407
First multiples
513,407 · 1,026,814 (double) · 1,540,221 · 2,053,628 · 2,567,035 · 3,080,442 · 3,593,849 · 4,107,256 · 4,620,663 · 5,134,070

Sums & aliquot sequence

As consecutive integers: 256,703 + 256,704

Continued fraction of √n

√513,407 = [716; (1, 1, 9, 1, 4, 3, 1, 715, 1, 3, 4, 1, 9, 1, 1, 1432)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
five hundred thirteen thousand four hundred seven
Ordinal
513407th
Binary
1111101010101111111
Octal
1752577
Hexadecimal
0x7D57F
Base64
B9V/
One's complement
4,294,453,888 (32-bit)
Scientific notation
5.13407 × 10⁵
As a duration
513,407 s = 5 days, 22 hours, 36 minutes, 47 seconds
In other bases
ternary (3) 222002021002
quaternary (4) 1331111333
quinary (5) 112412112
senary (6) 15000515
septenary (7) 4235546
nonary (9) 862232
undecimal (11) 320804
duodecimal (12) 20913b
tridecimal (13) 14c8bb
tetradecimal (14) d515d
pentadecimal (15) a21c2
Palindromic in base 14

As an angle

513,407° = 1,426 × 360° + 47°
47° ≈ 0.82 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιγυζʹ
Chinese
五十一萬三千四百零七
Chinese (financial)
伍拾壹萬參仟肆佰零柒
In other modern scripts
Eastern Arabic ٥١٣٤٠٧ Devanagari ५१३४०७ Bengali ৫১৩৪০৭ Tamil ௫௧௩௪௦௭ Thai ๕๑๓๔๐๗ Tibetan ༥༡༣༤༠༧ Khmer ៥១៣៤០៧ Lao ໕໑໓໔໐໗ Burmese ၅၁၃၄၀၇

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#07D57F
RGB(7, 213, 127)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.127.

Address
0.7.213.127
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.213.127

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 513,407 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.