Live analysis

502,002

502,002 is a composite number, even.

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.).

502,002 (five hundred two thousand two) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2 × 3² × 167². Its proper divisors sum to 592,221, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7A8F2.

Abundant Number Cube-Free Harshad / Niven Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

501,990 501,991 501,992 501,993 501,994 501,995 501,996 501,997 501,998 501,999 502,000 502,001 502,002 502,003 502,004 502,005 502,006 502,007 502,008 502,009 502,010 502,011 502,012 502,013 502,014

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 200,205
Square (n²): 252,006,008,004
Cube (n³): 126,507,520,030,024,008
Divisor count: 18
σ(n) — sum of divisors: 1,094,223
φ(n) — Euler's totient: 166,332
Sum of prime factors: 342

Primality

Prime factorization: 2 × 3 ² × 167 ²

Nearest primes: 502,001 (−1) · 502,013 (+11)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 6 · 9 · 18 · 167 · 334 · 501 · 1002 · 1503 · 3006 · 27889 · 55778 · 83667 · 167334 · 251001 (half) · 502002

Aliquot sum (sum of proper divisors): 592,221

Factor pairs (a × b = 502,002)

1 × 502002

2 × 251001

3 × 167334

6 × 83667

9 × 55778

18 × 27889

167 × 3006

334 × 1503

501 × 1002

First multiples

502,002 · 1,004,004 (double) · 1,506,006 · 2,008,008 · 2,510,010 · 3,012,012 · 3,514,014 · 4,016,016 · 4,518,018 · 5,020,020

Sums & aliquot sequence

As a sum of two squares: 501² + 501²

As consecutive integers: 167,333 + 167,334 + 167,335 125,499 + 125,500 + 125,501 + 125,502 55,774 + 55,775 + … + 55,782 41,828 + 41,829 + … + 41,839

Aliquot sequence: 502,002 → 592,221 → 310,243 → 1 → 0 — terminates at zero

Continued fraction of √n

√502,002 = [708; (1, 1, 11, 2, 2, 4, 1, 3, 3, 6, 4, 2, 8, 1, 1, 10, 1, 2, 1, 1, 4, 2, 1, 2, …)]

Representations

In words: five hundred two thousand two
Ordinal: 502002nd
Binary: 1111010100011110010
Octal: 1724362
Hexadecimal: 0x7A8F2
Base64: B6jy
One's complement: 4,294,465,293 (32-bit)
Scientific notation: 5.02002 × 10⁵
As a duration: 502,002 s = 5 days, 19 hours, 26 minutes, 42 seconds

In other bases

ternary (3) 221111121200

quaternary (4) 1322203302

quinary (5) 112031002

senary (6) 14432030

septenary (7) 4160364

nonary (9) 844550

undecimal (11) 313186

duodecimal (12) 202616

tridecimal (13) 147657

tetradecimal (14) d0d34

pentadecimal (15) 9db1c

As an angle

502,002° = 1,394 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓏺𓏺
Greek (Milesian): ͵φββʹ
Chinese: 五十萬二千零二
Chinese (financial): 伍拾萬貳仟零貳

In other modern scripts

Eastern Arabic ٥٠٢٠٠٢ Devanagari ५०२००२ Bengali ৫০২০০২ Tamil ௫௦௨௦௦௨ Thai ๕๐๒๐๐๒ Tibetan ༥༠༢༠༠༢ Khmer ៥០២០០២ Lao ໕໐໒໐໐໒ Burmese ၅၀၂၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 502002, here are decompositions:

5 + 501997 = 502002
31 + 501971 = 502002
71 + 501931 = 502002
113 + 501889 = 502002
139 + 501863 = 502002
173 + 501829 = 502002
181 + 501821 = 502002
199 + 501803 = 502002

Showing the first eight; more decompositions exist.

Hex color

#07A8F2

RGB(7, 168, 242)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.168.242.

Address: 0.7.168.242
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.168.242

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 502,002 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 US502,002 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 502002 first appears in π at position 542,053 of the decimal expansion (the 542,053ordinal-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.

Look up 502002 on Pi Search ↗