Live analysis

1,002,014

1,002,014 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.).

1,002,014 (one million two thousand fourteen) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 13 × 17 × 2,267. Written other ways, in hexadecimal, 0xF4A1E.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Squarefree

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,002,002 1,002,003 1,002,004 1,002,005 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 4,102,001
Square (n²): 1,004,032,056,196
Cube (n³): 1,006,054,176,757,178,744
Divisor count: 16
σ(n) — sum of divisors: 1,714,608
φ(n) — Euler's totient: 435,072
Sum of prime factors: 2,299

Primality

Prime factorization: 2 × 13 × 17 × 2267

Nearest primes: 1,001,989 (−25) · 1,002,017 (+3)

Divisors & multiples

All divisors (16)

1 · 2 · 13 · 17 · 26 · 34 · 221 · 442 · 2267 · 4534 · 29471 · 38539 · 58942 · 77078 · 501007 (half) · 1002014

Aliquot sum (sum of proper divisors): 712,594

Factor pairs (a × b = 1,002,014)

1 × 1002014

2 × 501007

13 × 77078

17 × 58942

26 × 38539

34 × 29471

221 × 4534

442 × 2267

First multiples

1,002,014 · 2,004,028 (double) · 3,006,042 · 4,008,056 · 5,010,070 · 6,012,084 · 7,014,098 · 8,016,112 · 9,018,126 · 10,020,140

Sums & aliquot sequence

As consecutive integers: 250,502 + 250,503 + 250,504 + 250,505 77,072 + 77,073 + … + 77,084 58,934 + 58,935 + … + 58,950 19,244 + 19,245 + … + 19,295

Aliquot sequence: 1,002,014 → 712,594 → 360,926 → 180,466 → 138,062 → 69,034 → 49,334 → 29,074 → 14,540 → 16,036 → 13,644 → 20,936 → 18,334 → 9,746 → 6,238 → 3,122 → 2,254 — unresolved within range

Continued fraction of √n

√1,002,014 = [1001; (154, 2002)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million two thousand fourteen
Ordinal: 1002014th
Binary: 11110100101000011110
Octal: 3645036
Hexadecimal: 0xF4A1E
Base64: D0oe
One's complement: 4,293,965,281 (32-bit)
Scientific notation: 1.002014 × 10⁶
As a duration: 1,002,014 s = 11 days, 14 hours, 20 minutes, 14 seconds

In other bases

ternary (3) 1212220111122

quaternary (4) 3310220132

quinary (5) 224031024

senary (6) 33250542

septenary (7) 11342216

nonary (9) 1786448

undecimal (11) 624912

duodecimal (12) 403a52

tridecimal (13) 291110

tetradecimal (14) 1c1246

pentadecimal (15) 14bd5e

As an angle

1,002,014° = 2,783 × 360° + 134°

134° ≈ 2.339 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬二千零一十四
Chinese (financial): 壹佰萬貳仟零壹拾肆

In other modern scripts

Eastern Arabic ١٠٠٢٠١٤ Devanagari १००२०१४ Bengali ১০০২০১৪ Tamil ௧௦௦௨௦௧௪ Thai ๑๐๐๒๐๑๔ Tibetan ༡༠༠༢༠༡༤ Khmer ១០០២០១៤ Lao ໑໐໐໒໐໑໔ Burmese ၁၀၀၂၀၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002014, here are decompositions:

31 + 1001983 = 1002014
37 + 1001977 = 1002014
61 + 1001953 = 1002014
67 + 1001947 = 1002014
73 + 1001941 = 1002014
103 + 1001911 = 1002014
193 + 1001821 = 1002014
271 + 1001743 = 1002014

Showing the first eight; more decompositions exist.

Hex color

#0F4A1E

RGB(15, 74, 30)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.30.

Address: 0.15.74.30
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.30

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 1,002,014 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 US1,002,014 on Google Patents ↗ Look up on USPTO ↗