Live analysis

1,002,204

1,002,204 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.).

1,002,204 (one million two thousand two hundred four) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 7 × 41 × 97. Its proper divisors sum to 1,994,244, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4ADC.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,002,192 1,002,193 1,002,194 1,002,195 1,002,196 1,002,197 1,002,198 1,002,199 1,002,200 1,002,201 1,002,202 1,002,203 1,002,204 1,002,205 1,002,206 1,002,207 1,002,208 1,002,209 1,002,210 1,002,211 1,002,212 1,002,213 1,002,214 1,002,215 1,002,216

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,022,001
Square (n²): 1,004,412,857,616
Cube (n³): 1,006,626,583,554,185,664
Divisor count: 72
σ(n) — sum of divisors: 2,996,448
φ(n) — Euler's totient: 276,480
Sum of prime factors: 155

Primality

Prime factorization: 2 ² × 3 ² × 7 × 41 × 97

Nearest primes: 1,002,191 (−13) · 1,002,227 (+23)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 28 · 36 · 41 · 42 · 63 · 82 · 84 · 97 · 123 · 126 · 164 · 194 · 246 · 252 · 287 · 291 · 369 · 388 · 492 · 574 · 582 · 679 · 738 · 861 · 873 · 1148 · 1164 · 1358 · 1476 · 1722 · 1746 · 2037 · 2583 · 2716 · 3444 · 3492 · 3977 · 4074 · 5166 · 6111 · 7954 · 8148 · 10332 · 11931 · 12222 · 15908 · 23862 · 24444 · 27839 · 35793 · 47724 · 55678 · 71586 · 83517 · 111356 · 143172 · 167034 · 250551 · 334068 · 501102 (half) · 1002204

Aliquot sum (sum of proper divisors): 1,994,244

Factor pairs (a × b = 1,002,204)

1 × 1002204

2 × 501102

3 × 334068

4 × 250551

6 × 167034

7 × 143172

9 × 111356

12 × 83517

14 × 71586

18 × 55678

21 × 47724

28 × 35793

36 × 27839

41 × 24444

42 × 23862

63 × 15908

82 × 12222

84 × 11931

97 × 10332

123 × 8148

126 × 7954

164 × 6111

194 × 5166

246 × 4074

252 × 3977

287 × 3492

291 × 3444

369 × 2716

388 × 2583

492 × 2037

574 × 1746

582 × 1722

679 × 1476

738 × 1358

861 × 1164

873 × 1148

First multiples

1,002,204 · 2,004,408 (double) · 3,006,612 · 4,008,816 · 5,011,020 · 6,013,224 · 7,015,428 · 8,017,632 · 9,019,836 · 10,022,040

Sums & aliquot sequence

As consecutive integers: 334,067 + 334,068 + 334,069 143,169 + 143,170 + … + 143,175 125,272 + 125,273 + … + 125,279 111,352 + 111,353 + … + 111,360

Aliquot sequence: 1,002,204 → 1,994,244 → 3,323,964 → 5,699,820 → 13,040,916 → 23,569,644 → 39,282,964 → 41,857,004 → 42,350,644 → 44,641,996 → 47,852,084 → 51,703,372 → 54,110,644 → 54,110,700 → 148,740,900 → 403,223,772 → 709,124,388 — unresolved within range

Continued fraction of √n

√1,002,204 = [1001; (9, 1, 6, 3, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 2, 1, 1, 4, 1, 26, 1, 79, 8, 16, …)]

Representations

In words: one million two thousand two hundred four
Ordinal: 1002204th
Binary: 11110100101011011100
Octal: 3645334
Hexadecimal: 0xF4ADC
Base64: D0rc
One's complement: 4,293,965,091 (32-bit)
Scientific notation: 1.002204 × 10⁶
As a duration: 1,002,204 s = 11 days, 14 hours, 23 minutes, 24 seconds

In other bases

ternary (3) 1212220202200

quaternary (4) 3310223130

quinary (5) 224032304

senary (6) 33251500

septenary (7) 11342610

nonary (9) 1786680

undecimal (11) 624a75

duodecimal (12) 403b90

tridecimal (13) 291228

tetradecimal (14) 1c1340

pentadecimal (15) 14be39

As an angle

1,002,204° = 2,783 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓏺𓏺𓏺𓏺
Chinese: 一百萬二千二百零四
Chinese (financial): 壹佰萬貳仟貳佰零肆

In other modern scripts

Eastern Arabic ١٠٠٢٢٠٤ Devanagari १००२२०४ Bengali ১০০২২০৪ Tamil ௧௦௦௨௨௦௪ Thai ๑๐๐๒๒๐๔ Tibetan ༡༠༠༢༢༠༤ Khmer ១០០២២០៤ Lao ໑໐໐໒໒໐໔ Burmese ၁၀၀၂၂၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002204, here are decompositions:

13 + 1002191 = 1002204
31 + 1002173 = 1002204
53 + 1002151 = 1002204
61 + 1002143 = 1002204
83 + 1002121 = 1002204
103 + 1002101 = 1002204
113 + 1002091 = 1002204
127 + 1002077 = 1002204

Showing the first eight; more decompositions exist.

Hex color

#0F4ADC

RGB(15, 74, 220)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.220.

Address: 0.15.74.220
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.220

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 1,002,204 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 US1,002,204 on Google Patents ↗ Look up on USPTO ↗