Live analysis

1,002,018

1,002,018 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.).

1,002,018 (one million two thousand eighteen) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 23 × 53 × 137. Its proper divisors sum to 1,144,158, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A22.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,002,006 1,002,007 1,002,008 1,002,009 1,002,010 1,002,011 1,002,012 1,002,013 1,002,014 1,002,015 1,002,016 1,002,017 1,002,018 1,002,019 1,002,020 1,002,021 1,002,022 1,002,023 1,002,024 1,002,025 1,002,026 1,002,027 1,002,028 1,002,029 1,002,030

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 8,102,001
Square (n²): 1,004,040,072,324
Cube (n³): 1,006,066,225,189,949,832
Divisor count: 32
σ(n) — sum of divisors: 2,146,176
φ(n) — Euler's totient: 311,168
Sum of prime factors: 218

Primality

Prime factorization: 2 × 3 × 23 × 53 × 137

Nearest primes: 1,002,017 (−1) · 1,002,049 (+31)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 23 · 46 · 53 · 69 · 106 · 137 · 138 · 159 · 274 · 318 · 411 · 822 · 1219 · 2438 · 3151 · 3657 · 6302 · 7261 · 7314 · 9453 · 14522 · 18906 · 21783 · 43566 · 167003 · 334006 · 501009 (half) · 1002018

Aliquot sum (sum of proper divisors): 1,144,158

Factor pairs (a × b = 1,002,018)

1 × 1002018

2 × 501009

3 × 334006

6 × 167003

23 × 43566

46 × 21783

53 × 18906

69 × 14522

106 × 9453

137 × 7314

138 × 7261

159 × 6302

274 × 3657

318 × 3151

411 × 2438

822 × 1219

First multiples

1,002,018 · 2,004,036 (double) · 3,006,054 · 4,008,072 · 5,010,090 · 6,012,108 · 7,014,126 · 8,016,144 · 9,018,162 · 10,020,180

Sums & aliquot sequence

As consecutive integers: 334,005 + 334,006 + 334,007 250,503 + 250,504 + 250,505 + 250,506 83,496 + 83,497 + … + 83,507 43,555 + 43,556 + … + 43,577

Aliquot sequence: 1,002,018 → 1,144,158 → 1,243,938 → 1,262,238 → 1,298,658 → 1,325,598 → 1,325,610 → 2,762,838 → 3,684,330 → 7,008,534 → 9,646,650 → 20,210,814 → 26,948,298 → 34,511,478 → 34,511,490 → 62,694,450 → 144,750,606 — unresolved within range

Continued fraction of √n

√1,002,018 = [1001; (117, 1, 3, 3, 1, 6, 6, 6, 1, 3, 3, 1, 117, 2002)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one million two thousand eighteen
Ordinal: 1002018th
Binary: 11110100101000100010
Octal: 3645042
Hexadecimal: 0xF4A22
Base64: D0oi
One's complement: 4,293,965,277 (32-bit)
Scientific notation: 1.002018 × 10⁶
As a duration: 1,002,018 s = 11 days, 14 hours, 20 minutes, 18 seconds

In other bases

ternary (3) 1212220111210

quaternary (4) 3310220202

quinary (5) 224031033

senary (6) 33250550

septenary (7) 11342223

nonary (9) 1786453

undecimal (11) 624916

duodecimal (12) 403a56

tridecimal (13) 291114

tetradecimal (14) 1c124a

pentadecimal (15) 14bd63

As an angle

1,002,018° = 2,783 × 360° + 138°

138° ≈ 2.409 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千零一十八
Chinese (financial): 壹佰萬貳仟零壹拾捌

In other modern scripts

Eastern Arabic ١٠٠٢٠١٨ Devanagari १००२०१८ Bengali ১০০২০১৮ Tamil ௧௦௦௨௦௧௮ Thai ๑๐๐๒๐๑๘ Tibetan ༡༠༠༢༠༡༨ Khmer ១០០២០១៨ Lao ໑໐໐໒໐໑໘ Burmese ၁၀၀၂၀၁၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002018, here are decompositions:

29 + 1001989 = 1002018
37 + 1001981 = 1002018
41 + 1001977 = 1002018
71 + 1001947 = 1002018
107 + 1001911 = 1002018
179 + 1001839 = 1002018
197 + 1001821 = 1002018
211 + 1001807 = 1002018

Showing the first eight; more decompositions exist.

Hex color

#0F4A22

RGB(15, 74, 34)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.34.

Address: 0.15.74.34
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.34

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 1,002,018 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 US1,002,018 on Google Patents ↗ Look up on USPTO ↗