Live analysis

1,004,040

1,004,040 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.).

1,004,040 (one million four thousand forty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 5 × 2,789. Its proper divisors sum to 2,260,260, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5208.

Abundant Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,004,028 1,004,029 1,004,030 1,004,031 1,004,032 1,004,033 1,004,034 1,004,035 1,004,036 1,004,037 1,004,038 1,004,039 1,004,040 1,004,041 1,004,042 1,004,043 1,004,044 1,004,045 1,004,046 1,004,047 1,004,048 1,004,049 1,004,050 1,004,051 1,004,052

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 404,001
Square (n²): 1,008,096,321,600
Cube (n³): 1,012,169,030,739,264,000
Divisor count: 48
σ(n) — sum of divisors: 3,264,300
φ(n) — Euler's totient: 267,648
Sum of prime factors: 2,806

Primality

Prime factorization: 2 ³ × 3 ² × 5 × 2789

Nearest primes: 1,004,033 (−7) · 1,004,053 (+13)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 30 · 36 · 40 · 45 · 60 · 72 · 90 · 120 · 180 · 360 · 2789 · 5578 · 8367 · 11156 · 13945 · 16734 · 22312 · 25101 · 27890 · 33468 · 41835 · 50202 · 55780 · 66936 · 83670 · 100404 · 111560 · 125505 · 167340 · 200808 · 251010 · 334680 · 502020 (half) · 1004040

Aliquot sum (sum of proper divisors): 2,260,260

Factor pairs (a × b = 1,004,040)

1 × 1004040

2 × 502020

3 × 334680

4 × 251010

5 × 200808

6 × 167340

8 × 125505

9 × 111560

10 × 100404

12 × 83670

15 × 66936

18 × 55780

20 × 50202

24 × 41835

30 × 33468

36 × 27890

40 × 25101

45 × 22312

60 × 16734

72 × 13945

90 × 11156

120 × 8367

180 × 5578

360 × 2789

First multiples

1,004,040 · 2,008,080 (double) · 3,012,120 · 4,016,160 · 5,020,200 · 6,024,240 · 7,028,280 · 8,032,320 · 9,036,360 · 10,040,400

Sums & aliquot sequence

As a sum of two squares: 6² + 1,002² = 606² + 798²

As consecutive integers: 334,679 + 334,680 + 334,681 200,806 + 200,807 + 200,808 + 200,809 + 200,810 111,556 + 111,557 + … + 111,564 66,929 + 66,930 + … + 66,943

Aliquot sequence: 1,004,040 → 2,260,260 → 4,848,660 → 10,946,196 → 17,250,336 → 32,430,204 → 52,968,564 → 94,101,996 → 125,848,084 → 94,386,070 → 76,450,778 → 38,225,392 → 37,093,448 → 42,917,752 → 37,553,048 → 40,133,512 → 35,116,838 — unresolved within range

Continued fraction of √n

√1,004,040 = [1002; (55, 1, 2, 222, 2, 1, 55, 2004)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one million four thousand forty
Ordinal: 1004040th
Binary: 11110101001000001000
Octal: 3651010
Hexadecimal: 0xF5208
Base64: D1II
One's complement: 4,293,963,255 (32-bit)
Scientific notation: 1.00404 × 10⁶
As a duration: 1,004,040 s = 11 days, 14 hours, 54 minutes

In other bases

ternary (3) 1220000021200

quaternary (4) 3311020020

quinary (5) 224112130

senary (6) 33304200

septenary (7) 11351142

nonary (9) 1800250

undecimal (11) 626394

duodecimal (12) 405060

tridecimal (13) 29200b

tetradecimal (14) 1c1c92

pentadecimal (15) 14c760

As an angle

1,004,040° = 2,789 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Chinese: 一百萬四千零四十
Chinese (financial): 壹佰萬肆仟零肆拾

In other modern scripts

Eastern Arabic ١٠٠٤٠٤٠ Devanagari १००४०४० Bengali ১০০৪০৪০ Tamil ௧௦௦௪௦௪௦ Thai ๑๐๐๔๐๔๐ Tibetan ༡༠༠༤༠༤༠ Khmer ១០០៤០៤០ Lao ໑໐໐໔໐໔໐ Burmese ၁၀၀၄၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004040, here are decompositions:

7 + 1004033 = 1004040
13 + 1004027 = 1004040
83 + 1003957 = 1004040
97 + 1003943 = 1004040
109 + 1003931 = 1004040
127 + 1003913 = 1004040
131 + 1003909 = 1004040
151 + 1003889 = 1004040

Showing the first eight; more decompositions exist.

Hex color

#0F5208

RGB(15, 82, 8)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.8.

Address: 0.15.82.8
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.8

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 1,004,040 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 US1,004,040 on Google Patents ↗ Look up on USPTO ↗