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521,401

521,401 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.).

521,401 (five hundred twenty-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, 0x7F4B9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
104,125
Square (n²)
271,859,002,801
Cube (n³)
141,747,555,919,444,201
Divisor count
2
σ(n) — sum of divisors
521,402
φ(n) — Euler's totient
521,400

Primality

521,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 521401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 521,401)
1 × 521401
First multiples
521,401 · 1,042,802 (double) · 1,564,203 · 2,085,604 · 2,607,005 · 3,128,406 · 3,649,807 · 4,171,208 · 4,692,609 · 5,214,010

Sums & aliquot sequence

As a sum of two squares: 501² + 520²
As consecutive integers: 260,700 + 260,701

Continued fraction of √n

√521,401 = [722; (12, 2, 1, 11, 2, 1, 3, 1, 1, 1, 18, 1, 1, 1, 1, 2, 5, 1, 2, 2, 3, 1, 1, 2, …)]

Representations

In words
five hundred twenty-one thousand four hundred one
Ordinal
521401st
Binary
1111111010010111001
Octal
1772271
Hexadecimal
0x7F4B9
Base64
B/S5
One's complement
4,294,445,894 (32-bit)
Scientific notation
5.21401 × 10⁵
As a duration
521,401 s = 6 days, 50 minutes, 1 second
In other bases
ternary (3) 222111020011
quaternary (4) 1333102321
quinary (5) 113141101
senary (6) 15101521
septenary (7) 4301056
nonary (9) 874204
undecimal (11) 326811
duodecimal (12) 2118a1
tridecimal (13) 15342a
tetradecimal (14) d802d
pentadecimal (15) a4751

As an angle

521,401° = 1,448 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵φκαυαʹ
Chinese
五十二萬一千四百零一
Chinese (financial)
伍拾貳萬壹仟肆佰零壹
In other modern scripts
Eastern Arabic ٥٢١٤٠١ Devanagari ५२१४०१ Bengali ৫২১৪০১ Tamil ௫௨௧௪௦௧ Thai ๕๒๑๔๐๑ Tibetan ༥༢༡༤༠༡ Khmer ៥២១៤០១ Lao ໕໒໑໔໐໑ Burmese ၅၂၁၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 521399.

Hex color
#07F4B9
RGB(7, 244, 185)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.244.185.

Address
0.7.244.185
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.244.185

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 521,401 and was likely granted around 1894.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 521401 first appears in π at position 160,002 of the decimal expansion (the 160,002ordinal-suffix:nd 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.