Live analysis

502,001

502,001 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.).

502,001 (five hundred two thousand one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7A8F1.

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

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

501,989 501,990 501,991 501,992 501,993 501,994 501,995 501,996 501,997 501,998 501,999 502,000 502,001 502,002 502,003 502,004 502,005 502,006 502,007 502,008 502,009 502,010 502,011 502,012 502,013

less more

Properties

Parity: Odd
Digit count: 6
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 19 bits
Reversed: 100,205
Square (n²): 252,005,004,001
Cube (n³): 126,506,764,013,506,001
Divisor count: 2
σ(n) — sum of divisors: 502,002
φ(n) — Euler's totient: 502,000

Primality

502,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 502001

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 502,001)

1 × 502001

First multiples

502,001 · 1,004,002 (double) · 1,506,003 · 2,008,004 · 2,510,005 · 3,012,006 · 3,514,007 · 4,016,008 · 4,518,009 · 5,020,010

Sums & aliquot sequence

As a sum of two squares: 199² + 680²

As consecutive integers: 251,000 + 251,001

Continued fraction of √n

√502,001 = [708; (1, 1, 11, 1, 4, 1, 1, 1, 1, 2, 82, 1, 34, 2, 3, 1, 1, 7, 7, 4, 1, 3, 4, 1, …)]

Representations

In words: five hundred two thousand one
Ordinal: 502001st
Binary: 1111010100011110001
Octal: 1724361
Hexadecimal: 0x7A8F1
Base64: B6jx
One's complement: 4,294,465,294 (32-bit)
Scientific notation: 5.02001 × 10⁵
As a duration: 502,001 s = 5 days, 19 hours, 26 minutes, 41 seconds

In other bases

ternary (3) 221111121122

quaternary (4) 1322203301

quinary (5) 112031001

senary (6) 14432025

septenary (7) 4160363

nonary (9) 844548

undecimal (11) 313185

duodecimal (12) 202615

tridecimal (13) 147656

tetradecimal (14) d0d33

pentadecimal (15) 9db1b

As an angle

502,001° = 1,394 × 360° + 161°

161° ≈ 2.81 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓏺
Greek (Milesian): ͵φβαʹ
Chinese: 五十萬二千零一
Chinese (financial): 伍拾萬貳仟零壹

In other modern scripts

Eastern Arabic ٥٠٢٠٠١ Devanagari ५०२००१ Bengali ৫০২০০১ Tamil ௫௦௨௦௦௧ Thai ๕๐๒๐๐๑ Tibetan ༥༠༢༠༠༡ Khmer ៥០២០០១ Lao ໕໐໒໐໐໑ Burmese ၅၀၂၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 501,997 (gap of 4)
Next prime: 502,013 (gap of 12)

Pair status: cousin with 501997.

Hex color

#07A8F1

RGB(7, 168, 241)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.168.241.

Address: 0.7.168.241
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.168.241

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 502,001 and was likely granted around 1893.

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

Look up US502,001 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 502001 first appears in π at position 174,787 of the decimal expansion (the 174,787ordinal-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.

Look up 502001 on Pi Search ↗