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501,409

501,409 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.).

501,409 (five hundred one thousand four hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7A6A1.

Arithmetic Number Cube-Free Deficient Number Evil 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
904,105
Square (n²)
251,410,985,281
Cube (n³)
126,059,730,718,760,929
Divisor count
2
σ(n) — sum of divisors
501,410
φ(n) — Euler's totient
501,408

Primality

501,409 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 501409
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 501,409)
1 × 501409
First multiples
501,409 · 1,002,818 (double) · 1,504,227 · 2,005,636 · 2,507,045 · 3,008,454 · 3,509,863 · 4,011,272 · 4,512,681 · 5,014,090

Sums & aliquot sequence

As a sum of two squares: 303² + 640²
As consecutive integers: 250,704 + 250,705

Continued fraction of √n

√501,409 = [708; (9, 1, 3, 3, 1, 1, 1, 1, 15, 1, 2, 94, 13, 1, 1, 1, 1, 5, 3, 10, 44, 6, 3, 1, …)]

Representations

In words
five hundred one thousand four hundred nine
Ordinal
501409th
Binary
1111010011010100001
Octal
1723241
Hexadecimal
0x7A6A1
Base64
B6ah
One's complement
4,294,465,886 (32-bit)
Scientific notation
5.01409 × 10⁵
As a duration
501,409 s = 5 days, 19 hours, 16 minutes, 49 seconds
In other bases
ternary (3) 221110210201
quaternary (4) 1322122201
quinary (5) 112021114
senary (6) 14425201
septenary (7) 4155556
nonary (9) 843721
undecimal (11) 312797
duodecimal (12) 202201
tridecimal (13) 1472bc
tetradecimal (14) d0a2d
pentadecimal (15) 9d874

As an angle

501,409° = 1,392 × 360° + 289°
289° ≈ 5.044 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φαυθʹ
Chinese
五十萬一千四百零九
Chinese (financial)
伍拾萬壹仟肆佰零玖
In other modern scripts
Eastern Arabic ٥٠١٤٠٩ Devanagari ५०१४०९ Bengali ৫০১৪০৯ Tamil ௫௦௧௪௦௯ Thai ๕๐๑๔๐๙ Tibetan ༥༠༡༤༠༩ Khmer ៥០១៤០៩ Lao ໕໐໑໔໐໙ Burmese ၅၀၁၄၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#07A6A1
RGB(7, 166, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.166.161.

Address
0.7.166.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.166.161

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 501,409 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 501409 first appears in π at position 493,988 of the decimal expansion (the 493,988ordinal-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.