Live analysis

1,002,162

1,002,162 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.).

1,002,162 (one million two thousand one hundred sixty-two) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 107 × 223. Its proper divisors sum to 1,320,270, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4AB2.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,002,150 1,002,151 1,002,152 1,002,153 1,002,154 1,002,155 1,002,156 1,002,157 1,002,158 1,002,159 1,002,160 1,002,161 1,002,162 1,002,163 1,002,164 1,002,165 1,002,166 1,002,167 1,002,168 1,002,169 1,002,170 1,002,171 1,002,172 1,002,173 1,002,174

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,612,001
Square (n²): 1,004,328,674,244
Cube (n³): 1,006,500,032,837,715,528
Divisor count: 32
σ(n) — sum of divisors: 2,322,432
φ(n) — Euler's totient: 282,384
Sum of prime factors: 342

Primality

Prime factorization: 2 × 3 × 7 × 107 × 223

Nearest primes: 1,002,151 (−11) · 1,002,173 (+11)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 107 · 214 · 223 · 321 · 446 · 642 · 669 · 749 · 1338 · 1498 · 1561 · 2247 · 3122 · 4494 · 4683 · 9366 · 23861 · 47722 · 71583 · 143166 · 167027 · 334054 · 501081 (half) · 1002162

Aliquot sum (sum of proper divisors): 1,320,270

Factor pairs (a × b = 1,002,162)

1 × 1002162

2 × 501081

3 × 334054

6 × 167027

7 × 143166

14 × 71583

21 × 47722

42 × 23861

107 × 9366

214 × 4683

223 × 4494

321 × 3122

446 × 2247

642 × 1561

669 × 1498

749 × 1338

First multiples

1,002,162 · 2,004,324 (double) · 3,006,486 · 4,008,648 · 5,010,810 · 6,012,972 · 7,015,134 · 8,017,296 · 9,019,458 · 10,021,620

Sums & aliquot sequence

As consecutive integers: 334,053 + 334,054 + 334,055 250,539 + 250,540 + 250,541 + 250,542 143,163 + 143,164 + … + 143,169 83,508 + 83,509 + … + 83,519

Aliquot sequence: 1,002,162 → 1,320,270 → 2,301,618 → 2,843,214 → 3,633,330 → 5,137,998 → 5,138,010 → 8,221,050 → 13,867,380 → 28,197,552 → 46,619,584 → 54,302,744 → 47,628,976 → 45,190,976 → 44,484,994 → 22,300,154 → 11,150,080 — unresolved within range

Continued fraction of √n

√1,002,162 = [1001; (12, 2, 3, 2, 1, 3, 11, 4, 4, 4, 11, 3, 1, 2, 3, 2, 12, 2002)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: one million two thousand one hundred sixty-two
Ordinal: 1002162nd
Binary: 11110100101010110010
Octal: 3645262
Hexadecimal: 0xF4AB2
Base64: D0qy
One's complement: 4,293,965,133 (32-bit)
Scientific notation: 1.002162 × 10⁶
As a duration: 1,002,162 s = 11 days, 14 hours, 22 minutes, 42 seconds

In other bases

ternary (3) 1212220201010

quaternary (4) 3310222302

quinary (5) 224032122

senary (6) 33251350

septenary (7) 11342520

nonary (9) 1786633

undecimal (11) 624a37

duodecimal (12) 403b56

tridecimal (13) 2911c5

tetradecimal (14) 1c1310

pentadecimal (15) 14be0c

As an angle

1,002,162° = 2,783 × 360° + 282°

282° ≈ 4.922 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬二千一百六十二
Chinese (financial): 壹佰萬貳仟壹佰陸拾貳

In other modern scripts

Eastern Arabic ١٠٠٢١٦٢ Devanagari १००२१६२ Bengali ১০০২১৬২ Tamil ௧௦௦௨௧௬௨ Thai ๑๐๐๒๑๖๒ Tibetan ༡༠༠༢༡༦༢ Khmer ១០០២១៦២ Lao ໑໐໐໒໑໖໒ Burmese ၁၀၀၂၁၆၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002162, here are decompositions:

11 + 1002151 = 1002162
13 + 1002149 = 1002162
19 + 1002143 = 1002162
41 + 1002121 = 1002162
53 + 1002109 = 1002162
61 + 1002101 = 1002162
71 + 1002091 = 1002162
79 + 1002083 = 1002162

Showing the first eight; more decompositions exist.

Hex color

#0F4AB2

RGB(15, 74, 178)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.178.

Address: 0.15.74.178
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.178

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 1,002,162 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 US1,002,162 on Google Patents ↗ Look up on USPTO ↗