Live analysis

1,008,200

1,008,200 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.).

1,008,200 (one million eight thousand two hundred) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2³ × 5² × 71². Its proper divisors sum to 1,369,345, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6248.

Abundant Number Achilles Number Gapful Number Odious Number Powerful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,008,188 1,008,189 1,008,190 1,008,191 1,008,192 1,008,193 1,008,194 1,008,195 1,008,196 1,008,197 1,008,198 1,008,199 1,008,200 1,008,201 1,008,202 1,008,203 1,008,204 1,008,205 1,008,206 1,008,207 1,008,208 1,008,209 1,008,210 1,008,211 1,008,212

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 28,001
Recamán's sequence: a(349,051) = 1,008,200
Square (n²): 1,016,467,240,000
Cube (n³): 1,024,802,271,368,000,000
Divisor count: 36
σ(n) — sum of divisors: 2,377,545
φ(n) — Euler's totient: 397,600
Sum of prime factors: 158

Primality

Prime factorization: 2 ³ × 5 ² × 71 ²

Nearest primes: 1,008,199 (−1) · 1,008,209 (+9)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 71 · 100 · 142 · 200 · 284 · 355 · 568 · 710 · 1420 · 1775 · 2840 · 3550 · 5041 · 7100 · 10082 · 14200 · 20164 · 25205 · 40328 · 50410 · 100820 · 126025 · 201640 · 252050 · 504100 (half) · 1008200

Aliquot sum (sum of proper divisors): 1,369,345

Factor pairs (a × b = 1,008,200)

1 × 1008200

2 × 504100

4 × 252050

5 × 201640

8 × 126025

10 × 100820

20 × 50410

25 × 40328

40 × 25205

50 × 20164

71 × 14200

100 × 10082

142 × 7100

200 × 5041

284 × 3550

355 × 2840

568 × 1775

710 × 1420

First multiples

1,008,200 · 2,016,400 (double) · 3,024,600 · 4,032,800 · 5,041,000 · 6,049,200 · 7,057,400 · 8,065,600 · 9,073,800 · 10,082,000

Sums & aliquot sequence

As a sum of two squares: 142² + 994² = 710² + 710²

As consecutive integers: 201,638 + 201,639 + 201,640 + 201,641 + 201,642 63,005 + 63,006 + … + 63,020 40,316 + 40,317 + … + 40,340 14,165 + 14,166 + … + 14,235

Aliquot sequence: 1,008,200 → 1,369,345 → 309,119 → 6,625 → 1,799 → 265 → 59 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,008,200 = [1004; (10, 1, 10, 1, 1, 3, 3, 1, 1, 1, 4, 1, 2, 2, 1, 3, 1, 1, 14, 4, 1, 5, 3, 3, …)]

Representations

In words: one million eight thousand two hundred
Ordinal: 1008200th
Binary: 11110110001001001000
Octal: 3661110
Hexadecimal: 0xF6248
Base64: D2JI
One's complement: 4,293,959,095 (32-bit)
Scientific notation: 1.0082 × 10⁶
As a duration: 1,008,200 s = 11 days, 16 hours, 3 minutes, 20 seconds

In other bases

ternary (3) 1220012222202

quaternary (4) 3312021020

quinary (5) 224230300

senary (6) 33335332

septenary (7) 11366234

nonary (9) 1805882

undecimal (11) 629526

duodecimal (12) 407548

tridecimal (13) 293b8b

tetradecimal (14) 1c35c4

pentadecimal (15) 14dad5

As an angle

1,008,200° = 2,800 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢
Chinese: 一百萬八千二百
Chinese (financial): 壹佰萬捌仟貳佰

In other modern scripts

Eastern Arabic ١٠٠٨٢٠٠ Devanagari १००८२०० Bengali ১০০৮২০০ Tamil ௧௦௦௮௨௦௦ Thai ๑๐๐๘๒๐๐ Tibetan ༡༠༠༨༢༠༠ Khmer ១០០៨២០០ Lao ໑໐໐໘໒໐໐ Burmese ၁၀၀၈၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008200, here are decompositions:

7 + 1008193 = 1008200
13 + 1008187 = 1008200
19 + 1008181 = 1008200
43 + 1008157 = 1008200
157 + 1008043 = 1008200
163 + 1008037 = 1008200
199 + 1008001 = 1008200
223 + 1007977 = 1008200

Showing the first eight; more decompositions exist.

Hex color

#0F6248

RGB(15, 98, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.98.72.

Address: 0.15.98.72
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.98.72

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 1,008,200 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 US1,008,200 on Google Patents ↗ Look up on USPTO ↗