Live analysis

1,049,000

1,049,000 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.).

1,049,000 (one million forty-nine thousand) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5³ × 1,049. Its proper divisors sum to 1,408,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1001A8.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,048,988 1,048,989 1,048,990 1,048,991 1,048,992 1,048,993 1,048,994 1,048,995 1,048,996 1,048,997 1,048,998 1,048,999 1,049,000 1,049,001 1,049,002 1,049,003 1,049,004 1,049,005 1,049,006 1,049,007 1,049,008 1,049,009 1,049,010 1,049,011 1,049,012

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 21 bits
Reversed: 9,401
Square (n²): 1,100,401,000,000
Cube (n³): 1,154,320,649,000,000,000
Divisor count: 32
σ(n) — sum of divisors: 2,457,000
φ(n) — Euler's totient: 419,200
Sum of prime factors: 1,070

Primality

Prime factorization: 2 ³ × 5 ³ × 1049

Nearest primes: 1,048,991 (−9) · 1,049,011 (+11)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 125 · 200 · 250 · 500 · 1000 · 1049 · 2098 · 4196 · 5245 · 8392 · 10490 · 20980 · 26225 · 41960 · 52450 · 104900 · 131125 · 209800 · 262250 · 524500 (half) · 1049000

Aliquot sum (sum of proper divisors): 1,408,000

Factor pairs (a × b = 1,049,000)

1 × 1049000

2 × 524500

4 × 262250

5 × 209800

8 × 131125

10 × 104900

20 × 52450

25 × 41960

40 × 26225

50 × 20980

100 × 10490

125 × 8392

200 × 5245

250 × 4196

500 × 2098

1000 × 1049

First multiples

1,049,000 · 2,098,000 (double) · 3,147,000 · 4,196,000 · 5,245,000 · 6,294,000 · 7,343,000 · 8,392,000 · 9,441,000 · 10,490,000

Sums & aliquot sequence

As a sum of two squares: 170² + 1,010² = 446² + 922² = 470² + 910² = 706² + 742²

As consecutive integers: 209,798 + 209,799 + 209,800 + 209,801 + 209,802 65,555 + 65,556 + … + 65,570 41,948 + 41,949 + … + 41,972 13,073 + 13,074 + … + 13,152

Aliquot sequence: 1,049,000 → 1,408,000 → 2,423,984 → 2,272,516 → 1,746,072 → 2,983,068 → 5,833,572 → 7,944,444 → 12,419,172 → 21,074,652 → 32,343,804 → 49,414,236 → 66,104,244 → 104,882,572 → 78,661,936 → 73,745,596 → 55,309,204 — unresolved within range

Continued fraction of √n

√1,049,000 = [1024; (4, 1, 4, 1, 9, 1, 1, 1, 1, 1, 9, 1, 4, 1, 4, 2048)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one million forty-nine thousand
Ordinal: 1049000th
Binary: 100000000000110101000
Octal: 4000650
Hexadecimal: 0x1001A8
Base64: EAGo
One's complement: 4,293,918,295 (32-bit)
Scientific notation: 1.049 × 10⁶
As a duration: 1,049,000 s = 12 days, 3 hours, 23 minutes, 20 seconds

In other bases

ternary (3) 1222021221212

quaternary (4) 10000012220

quinary (5) 232032000

senary (6) 34252252

septenary (7) 11626211

nonary (9) 1867855

undecimal (11) 657147

duodecimal (12) 427088

tridecimal (13) 2a9614

tetradecimal (14) 1d4408

pentadecimal (15) 15ac35

As an angle

1,049,000° = 2,913 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Chinese: 一百零四萬九千
Chinese (financial): 壹佰零肆萬玖仟

In other modern scripts

Eastern Arabic ١٠٤٩٠٠٠ Devanagari १०४९००० Bengali ১০৪৯০০০ Tamil ௧௦௪௯௦௦௦ Thai ๑๐๔๙๐๐๐ Tibetan ༡༠༤༩༠༠༠ Khmer ១០៤៩០០០ Lao ໑໐໔໙໐໐໐ Burmese ၁၀၄၉၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1049000, here are decompositions:

37 + 1048963 = 1049000
103 + 1048897 = 1049000
109 + 1048891 = 1049000
163 + 1048837 = 1049000
193 + 1048807 = 1049000
241 + 1048759 = 1049000
283 + 1048717 = 1049000
367 + 1048633 = 1049000

Showing the first eight; more decompositions exist.

Hex color

#1001A8

RGB(16, 1, 168)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.1.168.

Address: 0.16.1.168
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.1.168

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 9000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

9000-04-01 (DMMYYYY (Euro, single-digit day))
9000-10-04 (MMDYYYY (US, single-digit day))
9000-04-10 (DDMYYYY (Euro, single-digit month))

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 1,049,000 and was likely granted around 1912.

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

Look up US1,049,000 on Google Patents ↗ Look up on USPTO ↗