Live analysis

1,005,020

1,005,020 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.).

1,005,020 (one million five thousand twenty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 31 × 1,621. Its proper divisors sum to 1,174,948, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF55DC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,005,008 1,005,009 1,005,010 1,005,011 1,005,012 1,005,013 1,005,014 1,005,015 1,005,016 1,005,017 1,005,018 1,005,019 1,005,020 1,005,021 1,005,022 1,005,023 1,005,024 1,005,025 1,005,026 1,005,027 1,005,028 1,005,029 1,005,030 1,005,031 1,005,032

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 205,001
Square (n²): 1,010,065,200,400
Cube (n³): 1,015,135,727,706,008,000
Divisor count: 24
σ(n) — sum of divisors: 2,179,968
φ(n) — Euler's totient: 388,800
Sum of prime factors: 1,661

Primality

Prime factorization: 2 ² × 5 × 31 × 1621

Nearest primes: 1,005,019 (−1) · 1,005,029 (+9)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 20 · 31 · 62 · 124 · 155 · 310 · 620 · 1621 · 3242 · 6484 · 8105 · 16210 · 32420 · 50251 · 100502 · 201004 · 251255 · 502510 (half) · 1005020

Aliquot sum (sum of proper divisors): 1,174,948

Factor pairs (a × b = 1,005,020)

1 × 1005020

2 × 502510

4 × 251255

5 × 201004

10 × 100502

20 × 50251

31 × 32420

62 × 16210

124 × 8105

155 × 6484

310 × 3242

620 × 1621

First multiples

1,005,020 · 2,010,040 (double) · 3,015,060 · 4,020,080 · 5,025,100 · 6,030,120 · 7,035,140 · 8,040,160 · 9,045,180 · 10,050,200

Sums & aliquot sequence

As consecutive integers: 201,002 + 201,003 + 201,004 + 201,005 + 201,006 125,624 + 125,625 + … + 125,631 32,405 + 32,406 + … + 32,435 25,106 + 25,107 + … + 25,145

Aliquot sequence: 1,005,020 → 1,174,948 → 906,572 → 679,936 → 696,236 → 586,444 → 445,524 → 605,484 → 1,088,936 → 979,864 → 892,856 → 791,944 → 692,966 → 350,218 → 222,902 → 117,298 → 60,110 — unresolved within range

Continued fraction of √n

√1,005,020 = [1002; (1, 1, 35, 1, 21, 16, 1, 1, 9, 1, 1, 3, 1, 1, 1, 4, 8, 5, 1, 3, 7, 2, 12, 2, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: one million five thousand twenty
Ordinal: 1005020th
Binary: 11110101010111011100
Octal: 3652734
Hexadecimal: 0xF55DC
Base64: D1Xc
One's complement: 4,293,962,275 (32-bit)
Scientific notation: 1.00502 × 10⁶
As a duration: 1,005,020 s = 11 days, 15 hours, 10 minutes, 20 seconds

In other bases

ternary (3) 1220001121222

quaternary (4) 3311113130

quinary (5) 224130040

senary (6) 33312512

septenary (7) 11354042

nonary (9) 1801558

undecimal (11) 6270a5

duodecimal (12) 405738

tridecimal (13) 2925b3

tetradecimal (14) 1c2392

pentadecimal (15) 14cbb5

As an angle

1,005,020° = 2,791 × 360° + 260°

260° ≈ 4.538 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓎆𓎆
Chinese: 一百萬五千零二十
Chinese (financial): 壹佰萬伍仟零貳拾

In other modern scripts

Eastern Arabic ١٠٠٥٠٢٠ Devanagari १००५०२० Bengali ১০০৫০২০ Tamil ௧௦௦௫௦௨௦ Thai ๑๐๐๕๐๒๐ Tibetan ༡༠༠༥༠༢༠ Khmer ១០០៥០២០ Lao ໑໐໐໕໐໒໐ Burmese ၁၀၀၅၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1005020, here are decompositions:

7 + 1005013 = 1005020
13 + 1005007 = 1005020
43 + 1004977 = 1005020
103 + 1004917 = 1005020
109 + 1004911 = 1005020
223 + 1004797 = 1005020
241 + 1004779 = 1005020
271 + 1004749 = 1005020

Showing the first eight; more decompositions exist.

Hex color

#0F55DC

RGB(15, 85, 220)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.85.220.

Address: 0.15.85.220
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.85.220

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 1,005,020 and was likely granted around 1911.

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

Look up US1,005,020 on Google Patents ↗ Look up on USPTO ↗