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501,401

501,401 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.).

501,401 (five hundred one thousand four hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7A699.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
104,105
Square (n²)
251,402,962,801
Cube (n³)
126,053,696,951,384,201
Divisor count
2
σ(n) — sum of divisors
501,402
φ(n) — Euler's totient
501,400

Primality

501,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 501401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 501,401)
1 × 501401
First multiples
501,401 · 1,002,802 (double) · 1,504,203 · 2,005,604 · 2,507,005 · 3,008,406 · 3,509,807 · 4,011,208 · 4,512,609 · 5,014,010

Sums & aliquot sequence

As a sum of two squares: 100² + 701²
As consecutive integers: 250,700 + 250,701

Continued fraction of √n

√501,401 = [708; (10, 2, 1, 34, 1, 2, 1, 2, 56, 3, 1, 1, 10, 2, 34, 1, 12, 1, 3, 2, 88, 14, 1, 1, …)]

Representations

In words
five hundred one thousand four hundred one
Ordinal
501401st
Binary
1111010011010011001
Octal
1723231
Hexadecimal
0x7A699
Base64
B6aZ
One's complement
4,294,465,894 (32-bit)
Scientific notation
5.01401 × 10⁵
As a duration
501,401 s = 5 days, 19 hours, 16 minutes, 41 seconds
In other bases
ternary (3) 221110210102
quaternary (4) 1322122121
quinary (5) 112021101
senary (6) 14425145
septenary (7) 4155545
nonary (9) 843712
undecimal (11) 31278a
duodecimal (12) 2021b5
tridecimal (13) 1472b4
tetradecimal (14) d0a25
pentadecimal (15) 9d86b

As an angle

501,401° = 1,392 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵φαυαʹ
Chinese
五十萬一千四百零一
Chinese (financial)
伍拾萬壹仟肆佰零壹
In other modern scripts
Eastern Arabic ٥٠١٤٠١ Devanagari ५०१४०१ Bengali ৫০১৪০১ Tamil ௫௦௧௪௦௧ Thai ๕๐๑๔๐๑ Tibetan ༥༠༡༤༠༡ Khmer ៥០១៤០១ Lao ໕໐໑໔໐໑ Burmese ၅၀၁၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#07A699
RGB(7, 166, 153)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.166.153.

Address
0.7.166.153
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.166.153

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 501,401 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 501401 first appears in π at position 656,331 of the decimal expansion (the 656,331ordinal-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.