Live analysis

501,020

501,020 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.).

501,020 (five hundred one thousand twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 13 × 41 × 47. Its proper divisors sum to 684,388, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7A51C.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

501,008 501,009 501,010 501,011 501,012 501,013 501,014 501,015 501,016 501,017 501,018 501,019 501,020 501,021 501,022 501,023 501,024 501,025 501,026 501,027 501,028 501,029 501,030 501,031 501,032

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Properties

Parity: Even
Digit count: 6
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 19 bits
Reversed: 20,105
Square (n²): 251,021,040,400
Cube (n³): 125,766,561,661,208,000
Divisor count: 48
σ(n) — sum of divisors: 1,185,408
φ(n) — Euler's totient: 176,640
Sum of prime factors: 110

Primality

Prime factorization: 2 ² × 5 × 13 × 41 × 47

Nearest primes: 501,019 (−1) · 501,029 (+9)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 10 · 13 · 20 · 26 · 41 · 47 · 52 · 65 · 82 · 94 · 130 · 164 · 188 · 205 · 235 · 260 · 410 · 470 · 533 · 611 · 820 · 940 · 1066 · 1222 · 1927 · 2132 · 2444 · 2665 · 3055 · 3854 · 5330 · 6110 · 7708 · 9635 · 10660 · 12220 · 19270 · 25051 · 38540 · 50102 · 100204 · 125255 · 250510 (half) · 501020

Aliquot sum (sum of proper divisors): 684,388

Factor pairs (a × b = 501,020)

1 × 501020

2 × 250510

4 × 125255

5 × 100204

10 × 50102

13 × 38540

20 × 25051

26 × 19270

41 × 12220

47 × 10660

52 × 9635

65 × 7708

82 × 6110

94 × 5330

130 × 3854

164 × 3055

188 × 2665

205 × 2444

235 × 2132

260 × 1927

410 × 1222

470 × 1066

533 × 940

611 × 820

First multiples

501,020 · 1,002,040 (double) · 1,503,060 · 2,004,080 · 2,505,100 · 3,006,120 · 3,507,140 · 4,008,160 · 4,509,180 · 5,010,200

Sums & aliquot sequence

As consecutive integers: 100,202 + 100,203 + 100,204 + 100,205 + 100,206 62,624 + 62,625 + … + 62,631 38,534 + 38,535 + … + 38,546 12,506 + 12,507 + … + 12,545

Aliquot sequence: 501,020 → 684,388 → 601,820 → 662,044 → 496,540 → 690,884 → 518,170 → 414,554 → 296,134 → 171,506 → 94,714 → 60,806 → 30,406 → 17,258 → 8,632 → 9,008 → 8,476 — unresolved within range

Continued fraction of √n

√501,020 = [707; (1, 4, 1, 4, 15, 2, 1, 6, 10, 28, 1, 3, 1, 4, 2, 6, 2, 4, 1, 3, 1, 28, 10, 6, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: five hundred one thousand twenty
Ordinal: 501020th
Binary: 1111010010100011100
Octal: 1722434
Hexadecimal: 0x7A51C
Base64: B6Uc
One's complement: 4,294,466,275 (32-bit)
Scientific notation: 5.0102 × 10⁵
As a duration: 501,020 s = 5 days, 19 hours, 10 minutes, 20 seconds

In other bases

ternary (3) 221110021022

quaternary (4) 1322110130

quinary (5) 112013040

senary (6) 14423312

septenary (7) 4154462

nonary (9) 843238

undecimal (11) 312473

duodecimal (12) 201b38

tridecimal (13) 147080

tetradecimal (14) d0832

pentadecimal (15) 9d6b5

As an angle

501,020° = 1,391 × 360° + 260°

260° ≈ 4.538 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓎆𓎆
Greek (Milesian): ͵φακʹ
Chinese: 五十萬一千零二十
Chinese (financial): 伍拾萬壹仟零貳拾

In other modern scripts

Eastern Arabic ٥٠١٠٢٠ Devanagari ५०१०२० Bengali ৫০১০২০ Tamil ௫௦௧௦௨௦ Thai ๕๐๑๐๒๐ Tibetan ༥༠༡༠༢༠ Khmer ៥០១០២០ Lao ໕໐໑໐໒໐ Burmese ၅၀၁၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 501020, here are decompositions:

7 + 501013 = 501020
19 + 501001 = 501020
43 + 500977 = 501020
67 + 500953 = 501020
73 + 500947 = 501020
97 + 500923 = 501020
109 + 500911 = 501020
139 + 500881 = 501020

Showing the first eight; more decompositions exist.

Hex color

#07A51C

RGB(7, 165, 28)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.165.28.

Address: 0.7.165.28
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.165.28

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 501,020 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 US501,020 on Google Patents ↗ Look up on USPTO ↗