Live analysis

1,003,200

1,003,200 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.).

1,003,200 (one million three thousand two hundred) is an even 7-digit number. It is a composite number with 168 divisors, and factors as 2⁶ × 3 × 5² × 11 × 19. Its proper divisors sum to 2,776,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4EC0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,003,188 1,003,189 1,003,190 1,003,191 1,003,192 1,003,193 1,003,194 1,003,195 1,003,196 1,003,197 1,003,198 1,003,199 1,003,200 1,003,201 1,003,202 1,003,203 1,003,204 1,003,205 1,003,206 1,003,207 1,003,208 1,003,209 1,003,210 1,003,211 1,003,212

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 23,001
Square (n²): 1,006,410,240,000
Cube (n³): 1,009,630,752,768,000,000
Divisor count: 168
σ(n) — sum of divisors: 3,779,520
φ(n) — Euler's totient: 230,400
Sum of prime factors: 55

Primality

Prime factorization: 2 ⁶ × 3 × 5 ² × 11 × 19

Nearest primes: 1,003,199 (−1) · 1,003,201 (+1)

Divisors & multiples

All divisors (168)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 16 · 19 · 20 · 22 · 24 · 25 · 30 · 32 · 33 · 38 · 40 · 44 · 48 · 50 · 55 · 57 · 60 · 64 · 66 · 75 · 76 · 80 · 88 · 95 · 96 · 100 · 110 · 114 · 120 · 132 · 150 · 152 · 160 · 165 · 176 · 190 · 192 · 200 · 209 · 220 · 228 · 240 · 264 · 275 · 285 · 300 · 304 · 320 · 330 · 352 · 380 · 400 · 418 · 440 · 456 · 475 · 480 · 528 · 550 · 570 · 600 · 608 · 627 · 660 · 704 · 760 · 800 · 825 · 836 · 880 · 912 · 950 · 960 · 1045 · 1056 · 1100 · 1140 · 1200 · 1216 · 1254 · 1320 · 1425 · 1520 · 1600 · 1650 · 1672 · 1760 · 1824 · 1900 · 2090 · 2112 · 2200 · 2280 · 2400 · 2508 · 2640 · 2850 · 3040 · 3135 · 3300 · 3344 · 3520 · 3648 · 3800 · 4180 · 4400 · 4560 · 4800 · 5016 · 5225 · 5280 · 5700 · 6080 · 6270 · 6600 · 6688 · 7600 · 8360 · 8800 · 9120 · 10032 · 10450 · 10560 · 11400 · 12540 · 13200 · 13376 · 15200 · 15675 · 16720 · 17600 · 18240 · 20064 · 20900 · 22800 · 25080 · 26400 · 30400 · 31350 · 33440 · 40128 · 41800 · 45600 · 50160 · 52800 · 62700 · 66880 · 83600 · 91200 · 100320 · 125400 · 167200 · 200640 · 250800 · 334400 · 501600 (half) · 1003200

Aliquot sum (sum of proper divisors): 2,776,320

Factor pairs (a × b = 1,003,200)

1 × 1003200

2 × 501600

3 × 334400

4 × 250800

5 × 200640

6 × 167200

8 × 125400

10 × 100320

11 × 91200

12 × 83600

15 × 66880

16 × 62700

19 × 52800

20 × 50160

22 × 45600

24 × 41800

25 × 40128

30 × 33440

32 × 31350

33 × 30400

38 × 26400

40 × 25080

44 × 22800

48 × 20900

50 × 20064

55 × 18240

57 × 17600

60 × 16720

64 × 15675

66 × 15200

75 × 13376

76 × 13200

80 × 12540

88 × 11400

95 × 10560

96 × 10450

100 × 10032

110 × 9120

114 × 8800

120 × 8360

132 × 7600

150 × 6688

152 × 6600

160 × 6270

165 × 6080

176 × 5700

190 × 5280

192 × 5225

200 × 5016

209 × 4800

220 × 4560

228 × 4400

240 × 4180

264 × 3800

275 × 3648

285 × 3520

300 × 3344

304 × 3300

320 × 3135

330 × 3040

352 × 2850

380 × 2640

400 × 2508

418 × 2400

440 × 2280

456 × 2200

475 × 2112

480 × 2090

528 × 1900

550 × 1824

570 × 1760

600 × 1672

608 × 1650

627 × 1600

660 × 1520

704 × 1425

760 × 1320

800 × 1254

825 × 1216

836 × 1200

880 × 1140

912 × 1100

950 × 1056

960 × 1045

First multiples

1,003,200 · 2,006,400 (double) · 3,009,600 · 4,012,800 · 5,016,000 · 6,019,200 · 7,022,400 · 8,025,600 · 9,028,800 · 10,032,000

Sums & aliquot sequence

As consecutive integers: 334,399 + 334,400 + 334,401 200,638 + 200,639 + 200,640 + 200,641 + 200,642 91,195 + 91,196 + … + 91,205 66,873 + 66,874 + … + 66,887

Aliquot sequence: 1,003,200 → 2,776,320 → 6,869,316 → 9,240,988 → 6,952,532 → 5,743,564 → 4,579,364 → 3,465,400 → 4,592,120 → 6,536,200 → 10,047,560 → 12,675,640 → 15,844,640 → 29,660,512 → 41,010,368 → 51,996,304 → 52,221,356 — unresolved within range

Continued fraction of √n

√1,003,200 = [1001; (1, 1, 2, 30, 1, 8, 1, 499, 1, 8, 1, 30, 2, 1, 1, 2002)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one million three thousand two hundred
Ordinal: 1003200th
Binary: 11110100111011000000
Octal: 3647300
Hexadecimal: 0xF4EC0
Base64: D07A
One's complement: 4,293,964,095 (32-bit)
Scientific notation: 1.0032 × 10⁶
As a duration: 1,003,200 s = 11 days, 14 hours, 40 minutes

In other bases

ternary (3) 1212222010120

quaternary (4) 3310323000

quinary (5) 224100300

senary (6) 33300240

septenary (7) 11345532

nonary (9) 1788116

undecimal (11) 6257a0

duodecimal (12) 404680

tridecimal (13) 291813

tetradecimal (14) 1c1852

pentadecimal (15) 14c3a0

As an angle

1,003,200° = 2,786 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢
Chinese: 一百萬三千二百
Chinese (financial): 壹佰萬參仟貳佰

In other modern scripts

Eastern Arabic ١٠٠٣٢٠٠ Devanagari १००३२०० Bengali ১০০৩২০০ Tamil ௧௦௦௩௨௦௦ Thai ๑๐๐๓๒๐๐ Tibetan ༡༠༠༣༢༠༠ Khmer ១០០៣២០០ Lao ໑໐໐໓໒໐໐ Burmese ၁၀၀၃၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003200, here are decompositions:

7 + 1003193 = 1003200
59 + 1003141 = 1003200
67 + 1003133 = 1003200
89 + 1003111 = 1003200
97 + 1003103 = 1003200
103 + 1003097 = 1003200
109 + 1003091 = 1003200
113 + 1003087 = 1003200

Showing the first eight; more decompositions exist.

Hex color

#0F4EC0

RGB(15, 78, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.78.192.

Address: 0.15.78.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.78.192

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 1,003,200 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 US1,003,200 on Google Patents ↗ Look up on USPTO ↗