Live analysis

1,004,090

1,004,090 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.).

1,004,090 (one million four thousand ninety) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 31 × 41 × 79. Written other ways, in hexadecimal, 0xF523A.

Arithmetic Number Cube-Free Deficient Number Gapful Number Odious Number Pernicious Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,004,078 1,004,079 1,004,080 1,004,081 1,004,082 1,004,083 1,004,084 1,004,085 1,004,086 1,004,087 1,004,088 1,004,089 1,004,090 1,004,091 1,004,092 1,004,093 1,004,094 1,004,095 1,004,096 1,004,097 1,004,098 1,004,099 1,004,100 1,004,101 1,004,102

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 904,001
Square (n²): 1,008,196,728,100
Cube (n³): 1,012,320,252,717,929,000
Divisor count: 32
σ(n) — sum of divisors: 1,935,360
φ(n) — Euler's totient: 374,400
Sum of prime factors: 158

Primality

Prime factorization: 2 × 5 × 31 × 41 × 79

Nearest primes: 1,004,089 (−1) · 1,004,117 (+27)

Divisors & multiples

All divisors (32)

1 · 2 · 5 · 10 · 31 · 41 · 62 · 79 · 82 · 155 · 158 · 205 · 310 · 395 · 410 · 790 · 1271 · 2449 · 2542 · 3239 · 4898 · 6355 · 6478 · 12245 · 12710 · 16195 · 24490 · 32390 · 100409 · 200818 · 502045 (half) · 1004090

Aliquot sum (sum of proper divisors): 931,270

Factor pairs (a × b = 1,004,090)

1 × 1004090

2 × 502045

5 × 200818

10 × 100409

31 × 32390

41 × 24490

62 × 16195

79 × 12710

82 × 12245

155 × 6478

158 × 6355

205 × 4898

310 × 3239

395 × 2542

410 × 2449

790 × 1271

First multiples

1,004,090 · 2,008,180 (double) · 3,012,270 · 4,016,360 · 5,020,450 · 6,024,540 · 7,028,630 · 8,032,720 · 9,036,810 · 10,040,900

Sums & aliquot sequence

As consecutive integers: 251,021 + 251,022 + 251,023 + 251,024 200,816 + 200,817 + 200,818 + 200,819 + 200,820 50,195 + 50,196 + … + 50,214 32,375 + 32,376 + … + 32,405

Aliquot sequence: 1,004,090 → 931,270 → 818,330 → 780,070 → 624,074 → 451,606 → 228,794 → 117,286 → 73,766 → 64,474 → 32,240 → 51,088 → 52,080 → 138,384 → 261,795 → 171,357 → 57,123 — unresolved within range

Continued fraction of √n

√1,004,090 = [1002; (23, 3, 3, 3, 4, 6, 4, 3, 3, 3, 23, 2004)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one million four thousand ninety
Ordinal: 1004090th
Binary: 11110101001000111010
Octal: 3651072
Hexadecimal: 0xF523A
Base64: D1I6
One's complement: 4,293,963,205 (32-bit)
Scientific notation: 1.00409 × 10⁶
As a duration: 1,004,090 s = 11 days, 14 hours, 54 minutes, 50 seconds

In other bases

ternary (3) 1220000100112

quaternary (4) 3311020322

quinary (5) 224112330

senary (6) 33304322

septenary (7) 11351243

nonary (9) 1800315

undecimal (11) 62642a

duodecimal (12) 4050a2

tridecimal (13) 292049

tetradecimal (14) 1c1cca

pentadecimal (15) 14c795

As an angle

1,004,090° = 2,789 × 360° + 50°

50° ≈ 0.873 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬四千零九十
Chinese (financial): 壹佰萬肆仟零玖拾

In other modern scripts

Eastern Arabic ١٠٠٤٠٩٠ Devanagari १००४०९० Bengali ১০০৪০৯০ Tamil ௧௦௦௪௦௯௦ Thai ๑๐๐๔๐๙๐ Tibetan ༡༠༠༤༠༩༠ Khmer ១០០៤០៩០ Lao ໑໐໐໔໐໙໐ Burmese ၁၀၀၄၀၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004090, here are decompositions:

13 + 1004077 = 1004090
37 + 1004053 = 1004090
127 + 1003963 = 1004090
181 + 1003909 = 1004090
193 + 1003897 = 1004090
211 + 1003879 = 1004090
271 + 1003819 = 1004090
337 + 1003753 = 1004090

Showing the first eight; more decompositions exist.

Hex color

#0F523A

RGB(15, 82, 58)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.58.

Address: 0.15.82.58
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.58

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 1,004,090 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 US1,004,090 on Google Patents ↗ Look up on USPTO ↗