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502,013

502,013 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.).

502,013 (five hundred two thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7A8FD.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sophie Germain 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
310,205
Square (n²)
252,017,052,169
Cube (n³)
126,515,836,410,516,197
Divisor count
2
σ(n) — sum of divisors
502,014
φ(n) — Euler's totient
502,012

Primality

502,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 502013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 502,013)
1 × 502013
First multiples
502,013 · 1,004,026 (double) · 1,506,039 · 2,008,052 · 2,510,065 · 3,012,078 · 3,514,091 · 4,016,104 · 4,518,117 · 5,020,130

Sums & aliquot sequence

As a sum of two squares: 478² + 523²
As consecutive integers: 251,006 + 251,007

Continued fraction of √n

√502,013 = [708; (1, 1, 8, 5, 5, 1, 7, 1, 4, 19, 1, 3, 15, 1, 2, 50, 3, 1, 2, 1, 1, 3, 1, 2, …)]

Representations

In words
five hundred two thousand thirteen
Ordinal
502013th
Binary
1111010100011111101
Octal
1724375
Hexadecimal
0x7A8FD
Base64
B6j9
One's complement
4,294,465,282 (32-bit)
Scientific notation
5.02013 × 10⁵
As a duration
502,013 s = 5 days, 19 hours, 26 minutes, 53 seconds
In other bases
ternary (3) 221111122002
quaternary (4) 1322203331
quinary (5) 112031023
senary (6) 14432045
septenary (7) 4160411
nonary (9) 844562
undecimal (11) 313196
duodecimal (12) 202625
tridecimal (13) 147665
tetradecimal (14) d0d41
pentadecimal (15) 9db28

As an angle

502,013° = 1,394 × 360° + 173°
173° ≈ 3.019 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵φβιγʹ
Chinese
五十萬二千零一十三
Chinese (financial)
伍拾萬貳仟零壹拾參
In other modern scripts
Eastern Arabic ٥٠٢٠١٣ Devanagari ५०२०१३ Bengali ৫০২০১৩ Tamil ௫௦௨௦௧௩ Thai ๕๐๒๐๑๓ Tibetan ༥༠༢༠༡༣ Khmer ៥០២០១៣ Lao ໕໐໒໐໑໓ Burmese ၅၀၂၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#07A8FD
RGB(7, 168, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.168.253.

Address
0.7.168.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.168.253

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 502,013 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 502013 first appears in π at position 570,923 of the decimal expansion (the 570,923ordinal-suffix:rd 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.