Live analysis

1,004,036

1,004,036 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.).

1,004,036 (one million four thousand thirty-six) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 11 × 19 × 1,201. Its proper divisors sum to 1,015,324, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5204.

Abundant Number Arithmetic Number Cube-Free Evil Number Self Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,004,024 1,004,025 1,004,026 1,004,027 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 6,304,001
Square (n²): 1,008,088,289,296
Cube (n³): 1,012,156,933,631,598,656
Divisor count: 24
σ(n) — sum of divisors: 2,019,360
φ(n) — Euler's totient: 432,000
Sum of prime factors: 1,235

Primality

Prime factorization: 2 ² × 11 × 19 × 1201

Nearest primes: 1,004,033 (−3) · 1,004,053 (+17)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 11 · 19 · 22 · 38 · 44 · 76 · 209 · 418 · 836 · 1201 · 2402 · 4804 · 13211 · 22819 · 26422 · 45638 · 52844 · 91276 · 251009 · 502018 (half) · 1004036

Aliquot sum (sum of proper divisors): 1,015,324

Factor pairs (a × b = 1,004,036)

1 × 1004036

2 × 502018

4 × 251009

11 × 91276

19 × 52844

22 × 45638

38 × 26422

44 × 22819

76 × 13211

209 × 4804

418 × 2402

836 × 1201

First multiples

1,004,036 · 2,008,072 (double) · 3,012,108 · 4,016,144 · 5,020,180 · 6,024,216 · 7,028,252 · 8,032,288 · 9,036,324 · 10,040,360

Sums & aliquot sequence

As consecutive integers: 125,501 + 125,502 + … + 125,508 91,271 + 91,272 + … + 91,281 52,835 + 52,836 + … + 52,853 11,366 + 11,367 + … + 11,453

Aliquot sequence: 1,004,036 → 1,015,324 → 817,948 → 613,468 → 471,252 → 639,564 → 865,716 → 1,261,164 → 1,681,580 → 1,895,812 → 1,421,866 → 710,936 → 622,084 → 466,570 → 471,878 → 312,202 → 221,750 — unresolved within range

Continued fraction of √n

√1,004,036 = [1002; (62, 1, 1, 1, 2, 30, 1, 15, 15, 1, 1, 2, 6, 7, 1, 2, 20, 1, 2, 1, 24, 1, 1, 1, …)]

Representations

In words: one million four thousand thirty-six
Ordinal: 1004036th
Binary: 11110101001000000100
Octal: 3651004
Hexadecimal: 0xF5204
Base64: D1IE
One's complement: 4,293,963,259 (32-bit)
Scientific notation: 1.004036 × 10⁶
As a duration: 1,004,036 s = 11 days, 14 hours, 53 minutes, 56 seconds

In other bases

ternary (3) 1220000021112

quaternary (4) 3311020010

quinary (5) 224112121

senary (6) 33304152

septenary (7) 11351135

nonary (9) 1800245

undecimal (11) 626390

duodecimal (12) 405058

tridecimal (13) 292007

tetradecimal (14) 1c1c8c

pentadecimal (15) 14c75b

As an angle

1,004,036° = 2,788 × 360° + 356°

356° ≈ 6.213 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬四千零三十六
Chinese (financial): 壹佰萬肆仟零參拾陸

In other modern scripts

Eastern Arabic ١٠٠٤٠٣٦ Devanagari १००४०३६ Bengali ১০০৪০৩৬ Tamil ௧௦௦௪௦௩௬ Thai ๑๐๐๔๐๓๖ Tibetan ༡༠༠༤༠༣༦ Khmer ១០០៤០៣៦ Lao ໑໐໐໔໐໓໖ Burmese ၁၀၀၄၀၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004036, here are decompositions:

3 + 1004033 = 1004036
73 + 1003963 = 1004036
79 + 1003957 = 1004036
127 + 1003909 = 1004036
139 + 1003897 = 1004036
157 + 1003879 = 1004036
283 + 1003753 = 1004036
307 + 1003729 = 1004036

Showing the first eight; more decompositions exist.

Hex color

#0F5204

RGB(15, 82, 4)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.4.

Address: 0.15.82.4
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.4

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 1,004,036 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 US1,004,036 on Google Patents ↗ Look up on USPTO ↗