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521,429

521,429 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.).

521,429 (five hundred twenty-one thousand four hundred twenty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7F4D5.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
720
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
924,125
Square (n²)
271,888,202,041
Cube (n³)
141,770,393,302,036,589
Divisor count
2
σ(n) — sum of divisors
521,430
φ(n) — Euler's totient
521,428

Primality

521,429 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 521429
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 521,429)
1 × 521429
First multiples
521,429 · 1,042,858 (double) · 1,564,287 · 2,085,716 · 2,607,145 · 3,128,574 · 3,650,003 · 4,171,432 · 4,692,861 · 5,214,290

Sums & aliquot sequence

As a sum of two squares: 185² + 698²
As consecutive integers: 260,714 + 260,715

Continued fraction of √n

√521,429 = [722; (9, 1, 23, 1, 1, 2, 1, 2, 2, 2, 9, 2, 1, 8, 1, 1, 1, 3, 2, 2, 19, 1, 13, 2, …)]

Representations

In words
five hundred twenty-one thousand four hundred twenty-nine
Ordinal
521429th
Binary
1111111010011010101
Octal
1772325
Hexadecimal
0x7F4D5
Base64
B/TV
One's complement
4,294,445,866 (32-bit)
Scientific notation
5.21429 × 10⁵
As a duration
521,429 s = 6 days, 50 minutes, 29 seconds
In other bases
ternary (3) 222111021012
quaternary (4) 1333103111
quinary (5) 113141204
senary (6) 15102005
septenary (7) 4301126
nonary (9) 874235
undecimal (11) 326837
duodecimal (12) 211905
tridecimal (13) 15344c
tetradecimal (14) d804d
pentadecimal (15) a476e

As an angle

521,429° = 1,448 × 360° + 149°
149° ≈ 2.601 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φκαυκθʹ
Chinese
五十二萬一千四百二十九
Chinese (financial)
伍拾貳萬壹仟肆佰貳拾玖
In other modern scripts
Eastern Arabic ٥٢١٤٢٩ Devanagari ५२१४२९ Bengali ৫২১৪২৯ Tamil ௫௨௧௪௨௯ Thai ๕๒๑๔๒๙ Tibetan ༥༢༡༤༢༩ Khmer ៥២១៤២៩ Lao ໕໒໑໔໒໙ Burmese ၅၂၁၄၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#07F4D5
RGB(7, 244, 213)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.244.213.

Address
0.7.244.213
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.244.213

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 521,429 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 521429 first appears in π at position 124,295 of the decimal expansion (the 124,295ordinal-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.