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507,421

507,421 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.).

507,421 (five hundred seven thousand four hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7BE1D.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
124,705
Square (n²)
257,476,071,241
Cube (n³)
130,648,765,545,179,461
Divisor count
2
σ(n) — sum of divisors
507,422
φ(n) — Euler's totient
507,420

Primality

507,421 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 507421
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 507,421)
1 × 507421
First multiples
507,421 · 1,014,842 (double) · 1,522,263 · 2,029,684 · 2,537,105 · 3,044,526 · 3,551,947 · 4,059,368 · 4,566,789 · 5,074,210

Sums & aliquot sequence

As a sum of two squares: 405² + 586²
As consecutive integers: 253,710 + 253,711

Continued fraction of √n

√507,421 = [712; (2, 1, 70, 1, 1, 3, 4, 14, 74, 1, 10, 2, 2, 3, 2, 1, 8, 2, 1, 1, 1, 4, 1, 2, …)]

Representations

In words
five hundred seven thousand four hundred twenty-one
Ordinal
507421st
Binary
1111011111000011101
Octal
1737035
Hexadecimal
0x7BE1D
Base64
B74d
One's complement
4,294,459,874 (32-bit)
Scientific notation
5.07421 × 10⁵
As a duration
507,421 s = 5 days, 20 hours, 57 minutes, 1 second
In other bases
ternary (3) 221210001101
quaternary (4) 1323320131
quinary (5) 112214141
senary (6) 14513101
septenary (7) 4212235
nonary (9) 853041
undecimal (11) 317262
duodecimal (12) 205791
tridecimal (13) 149c65
tetradecimal (14) d2cc5
pentadecimal (15) a0531

As an angle

507,421° = 1,409 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵φζυκαʹ
Chinese
五十萬七千四百二十一
Chinese (financial)
伍拾萬柒仟肆佰貳拾壹
In other modern scripts
Eastern Arabic ٥٠٧٤٢١ Devanagari ५०७४२१ Bengali ৫০৭৪২১ Tamil ௫௦௭௪௨௧ Thai ๕๐๗๔๒๑ Tibetan ༥༠༧༤༢༡ Khmer ៥០៧៤២១ Lao ໕໐໗໔໒໑ Burmese ၅၀၇၄၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#07BE1D
RGB(7, 190, 29)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.190.29.

Address
0.7.190.29
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.190.29

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 507,421 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 507421 first appears in π at position 188,350 of the decimal expansion (the 188,350ordinal-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.