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513,431

513,431 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.).

513,431 (five hundred thirteen thousand four 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, 0x7D597.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
180
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
134,315
Square (n²)
263,611,391,761
Cube (n³)
135,346,260,483,241,991
Divisor count
2
σ(n) — sum of divisors
513,432
φ(n) — Euler's totient
513,430

Primality

513,431 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 513431
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 513,431)
1 × 513431
First multiples
513,431 · 1,026,862 (double) · 1,540,293 · 2,053,724 · 2,567,155 · 3,080,586 · 3,594,017 · 4,107,448 · 4,620,879 · 5,134,310

Sums & aliquot sequence

As consecutive integers: 256,715 + 256,716

Continued fraction of √n

√513,431 = [716; (1, 1, 5, 1, 1, 2, 20, 12, 1, 1, 1, 2, 1, 1, 1, 4, 3, 1, 7, 4, 9, 286, 1, 1, …)]

Representations

In words
five hundred thirteen thousand four hundred thirty-one
Ordinal
513431st
Binary
1111101010110010111
Octal
1752627
Hexadecimal
0x7D597
Base64
B9WX
One's complement
4,294,453,864 (32-bit)
Scientific notation
5.13431 × 10⁵
As a duration
513,431 s = 5 days, 22 hours, 37 minutes, 11 seconds
In other bases
ternary (3) 222002021222
quaternary (4) 1331112113
quinary (5) 112412211
senary (6) 15000555
septenary (7) 4235612
nonary (9) 862258
undecimal (11) 320826
duodecimal (12) 20915b
tridecimal (13) 14c909
tetradecimal (14) d5179
pentadecimal (15) a21db

As an angle

513,431° = 1,426 × 360° + 71°
71° ≈ 1.239 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵φιγυλαʹ
Chinese
五十一萬三千四百三十一
Chinese (financial)
伍拾壹萬參仟肆佰參拾壹
In other modern scripts
Eastern Arabic ٥١٣٤٣١ Devanagari ५१३४३१ Bengali ৫১৩৪৩১ Tamil ௫௧௩௪௩௧ Thai ๕๑๓๔๓๑ Tibetan ༥༡༣༤༣༡ Khmer ៥១៣៤៣១ Lao ໕໑໓໔໓໑ Burmese ၅၁၃၄၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 513427.

Hex color
#07D597
RGB(7, 213, 151)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.151.

Address
0.7.213.151
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.213.151

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 513,431 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 513431 first appears in π at position 117,601 of the decimal expansion (the 117,601ordinal-suffix:st 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.