Live analysis

1,002,050

1,002,050 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.).

1,002,050 (one million two thousand fifty) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2 × 5² × 7² × 409. Its proper divisors sum to 1,171,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A42.

Abundant Number Cube-Free Gapful Number Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,002,038 1,002,039 1,002,040 1,002,041 1,002,042 1,002,043 1,002,044 1,002,045 1,002,046 1,002,047 1,002,048 1,002,049 1,002,050 1,002,051 1,002,052 1,002,053 1,002,054 1,002,055 1,002,056 1,002,057 1,002,058 1,002,059 1,002,060 1,002,061 1,002,062

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 502,001
Square (n²): 1,004,104,202,500
Cube (n³): 1,006,162,616,115,125,000
Divisor count: 36
σ(n) — sum of divisors: 2,173,410
φ(n) — Euler's totient: 342,720
Sum of prime factors: 435

Primality

Prime factorization: 2 × 5 ² × 7 ² × 409

Nearest primes: 1,002,049 (−1) · 1,002,061 (+11)

Divisors & multiples

All divisors (36)

1 · 2 · 5 · 7 · 10 · 14 · 25 · 35 · 49 · 50 · 70 · 98 · 175 · 245 · 350 · 409 · 490 · 818 · 1225 · 2045 · 2450 · 2863 · 4090 · 5726 · 10225 · 14315 · 20041 · 20450 · 28630 · 40082 · 71575 · 100205 · 143150 · 200410 · 501025 (half) · 1002050

Aliquot sum (sum of proper divisors): 1,171,360

Factor pairs (a × b = 1,002,050)

1 × 1002050

2 × 501025

5 × 200410

7 × 143150

10 × 100205

14 × 71575

25 × 40082

35 × 28630

49 × 20450

50 × 20041

70 × 14315

98 × 10225

175 × 5726

245 × 4090

350 × 2863

409 × 2450

490 × 2045

818 × 1225

First multiples

1,002,050 · 2,004,100 (double) · 3,006,150 · 4,008,200 · 5,010,250 · 6,012,300 · 7,014,350 · 8,016,400 · 9,018,450 · 10,020,500

Sums & aliquot sequence

As a sum of two squares: 7² + 1,001² = 287² + 959² = 595² + 805²

As consecutive integers: 250,511 + 250,512 + 250,513 + 250,514 200,408 + 200,409 + 200,410 + 200,411 + 200,412 143,147 + 143,148 + … + 143,153 50,093 + 50,094 + … + 50,112

Aliquot sequence: 1,002,050 → 1,171,360 → 1,596,356 → 1,206,136 → 1,055,384 → 1,147,816 → 1,004,354 → 618,106 → 341,114 → 170,560 → 277,496 → 242,824 → 217,976 → 228,064 → 221,000 → 368,680 → 525,920 — unresolved within range

Continued fraction of √n

√1,002,050 = [1001; (40, 1, 6, 40, 1, 2, 1, 1, 40, 3, 2, 40, 2, 3, 40, 1, 1, 2, 1, 40, 6, 1, 40, 2002)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: one million two thousand fifty
Ordinal: 1002050th
Binary: 11110100101001000010
Octal: 3645102
Hexadecimal: 0xF4A42
Base64: D0pC
One's complement: 4,293,965,245 (32-bit)
Scientific notation: 1.00205 × 10⁶
As a duration: 1,002,050 s = 11 days, 14 hours, 20 minutes, 50 seconds

In other bases

ternary (3) 1212220112222

quaternary (4) 3310221002

quinary (5) 224031200

senary (6) 33251042

septenary (7) 11342300

nonary (9) 1786488

undecimal (11) 624945

duodecimal (12) 403a82

tridecimal (13) 29113a

tetradecimal (14) 1c1270

pentadecimal (15) 14bd85

As an angle

1,002,050° = 2,783 × 360° + 170°

170° ≈ 2.967 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬二千零五十
Chinese (financial): 壹佰萬貳仟零伍拾

In other modern scripts

Eastern Arabic ١٠٠٢٠٥٠ Devanagari १००२०५० Bengali ১০০২০৫০ Tamil ௧௦௦௨௦௫௦ Thai ๑๐๐๒๐๕๐ Tibetan ༡༠༠༢༠༥༠ Khmer ១០០២០៥០ Lao ໑໐໐໒໐໕໐ Burmese ၁၀၀၂၀၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002050, here are decompositions:

61 + 1001989 = 1002050
67 + 1001983 = 1002050
73 + 1001977 = 1002050
97 + 1001953 = 1002050
103 + 1001947 = 1002050
109 + 1001941 = 1002050
139 + 1001911 = 1002050
211 + 1001839 = 1002050

Showing the first eight; more decompositions exist.

Hex color

#0F4A42

RGB(15, 74, 66)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.66.

Address: 0.15.74.66
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.66

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 1,002,050 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 US1,002,050 on Google Patents ↗ Look up on USPTO ↗