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507,431

507,431 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.).

507,431 (five hundred seven 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, 0x7BE27.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Sophie Germain 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
134,705
Square (n²)
257,486,219,761
Cube (n³)
130,656,489,979,543,991
Divisor count
2
σ(n) — sum of divisors
507,432
φ(n) — Euler's totient
507,430

Primality

507,431 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 507431
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 507,431)
1 × 507431
First multiples
507,431 · 1,014,862 (double) · 1,522,293 · 2,029,724 · 2,537,155 · 3,044,586 · 3,552,017 · 4,059,448 · 4,566,879 · 5,074,310

Sums & aliquot sequence

As consecutive integers: 253,715 + 253,716

Continued fraction of √n

√507,431 = [712; (2, 1, 12, 3, 1, 1, 25, 2, 1, 711, 1, 2, 25, 1, 1, 3, 12, 1, 2, 1424)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
five hundred seven thousand four hundred thirty-one
Ordinal
507431st
Binary
1111011111000100111
Octal
1737047
Hexadecimal
0x7BE27
Base64
B74n
One's complement
4,294,459,864 (32-bit)
Scientific notation
5.07431 × 10⁵
As a duration
507,431 s = 5 days, 20 hours, 57 minutes, 11 seconds
In other bases
ternary (3) 221210001202
quaternary (4) 1323320213
quinary (5) 112214211
senary (6) 14513115
septenary (7) 4212251
nonary (9) 853052
undecimal (11) 317271
duodecimal (12) 20579b
tridecimal (13) 149c72
tetradecimal (14) d2cd1
pentadecimal (15) a053b

As an angle

507,431° = 1,409 × 360° + 191°
191° ≈ 3.334 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵φζυλαʹ
Chinese
五十萬七千四百三十一
Chinese (financial)
伍拾萬柒仟肆佰參拾壹
In other modern scripts
Eastern Arabic ٥٠٧٤٣١ Devanagari ५०७४३१ Bengali ৫০৭৪৩১ Tamil ௫௦௭௪௩௧ Thai ๕๐๗๔๓๑ Tibetan ༥༠༧༤༣༡ Khmer ៥០៧៤៣១ Lao ໕໐໗໔໓໑ Burmese ၅၀၇၄၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#07BE27
RGB(7, 190, 39)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.190.39.

Address
0.7.190.39
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.190.39

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 507,431 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 507431 first appears in π at position 19,318 of the decimal expansion (the 19,318ordinal-suffix:th 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.