Live analysis

1,002,198

1,002,198 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.).

1,002,198 (one million two thousand one hundred ninety-eight) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 167,033. Its proper divisors sum to 1,002,210, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4AD6.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,002,186 1,002,187 1,002,188 1,002,189 1,002,190 1,002,191 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 8,912,001
Square (n²): 1,004,400,831,204
Cube (n³): 1,006,608,504,230,986,392
Divisor count: 8
σ(n) — sum of divisors: 2,004,408
φ(n) — Euler's totient: 334,064
Sum of prime factors: 167,038

Primality

Prime factorization: 2 × 3 × 167033

Nearest primes: 1,002,191 (−7) · 1,002,227 (+29)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 167033 · 334066 · 501099 (half) · 1002198

Aliquot sum (sum of proper divisors): 1,002,210

Factor pairs (a × b = 1,002,198)

1 × 1002198

2 × 501099

3 × 334066

6 × 167033

First multiples

1,002,198 · 2,004,396 (double) · 3,006,594 · 4,008,792 · 5,010,990 · 6,013,188 · 7,015,386 · 8,017,584 · 9,019,782 · 10,021,980

Sums & aliquot sequence

As consecutive integers: 334,065 + 334,066 + 334,067 250,548 + 250,549 + 250,550 + 250,551 83,511 + 83,512 + … + 83,522

Aliquot sequence: 1,002,198 → 1,002,210 → 1,622,622 → 1,622,634 → 1,933,590 → 2,707,098 → 2,707,110 → 5,338,746 → 8,119,296 → 15,351,606 → 19,296,018 → 29,787,822 → 34,752,498 → 45,150,222 → 53,754,738 → 54,140,718 → 54,274,722 — unresolved within range

Continued fraction of √n

√1,002,198 = [1001; (10, 6, 7, 3, 1, 1, 2, 1, 1, 4, 1, 1, 1000, 1, 1, 4, 1, 1, 2, 1, 1, 3, 7, 6, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: one million two thousand one hundred ninety-eight
Ordinal: 1002198th
Binary: 11110100101011010110
Octal: 3645326
Hexadecimal: 0xF4AD6
Base64: D0rW
One's complement: 4,293,965,097 (32-bit)
Scientific notation: 1.002198 × 10⁶
As a duration: 1,002,198 s = 11 days, 14 hours, 23 minutes, 18 seconds

In other bases

ternary (3) 1212220202110

quaternary (4) 3310223112

quinary (5) 224032243

senary (6) 33251450

septenary (7) 11342601

nonary (9) 1786673

undecimal (11) 624a6a

duodecimal (12) 403b86

tridecimal (13) 291222

tetradecimal (14) 1c1338

pentadecimal (15) 14be33

As an angle

1,002,198° = 2,783 × 360° + 318°

318° ≈ 5.55 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千一百九十八
Chinese (financial): 壹佰萬貳仟壹佰玖拾捌

In other modern scripts

Eastern Arabic ١٠٠٢١٩٨ Devanagari १००२१९८ Bengali ১০০২১৯৮ Tamil ௧௦௦௨௧௯௮ Thai ๑๐๐๒๑๙๘ Tibetan ༡༠༠༢༡༩༨ Khmer ១០០២១៩៨ Lao ໑໐໐໒໑໙໘ Burmese ၁၀၀၂၁၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002198, here are decompositions:

7 + 1002191 = 1002198
47 + 1002151 = 1002198
89 + 1002109 = 1002198
97 + 1002101 = 1002198
107 + 1002091 = 1002198
137 + 1002061 = 1002198
149 + 1002049 = 1002198
181 + 1002017 = 1002198

Showing the first eight; more decompositions exist.

Hex color

#0F4AD6

RGB(15, 74, 214)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.214.

Address: 0.15.74.214
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.214

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 1,002,198 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 US1,002,198 on Google Patents ↗ Look up on USPTO ↗