Live analysis

1,000,338

1,000,338 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.).

1,000,338 (one million three hundred thirty-eight) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 166,723. Its proper divisors sum to 1,000,350, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4392.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,000,326 1,000,327 1,000,328 1,000,329 1,000,330 1,000,331 1,000,332 1,000,333 1,000,334 1,000,335 1,000,336 1,000,337 1,000,338 1,000,339 1,000,340 1,000,341 1,000,342 1,000,343 1,000,344 1,000,345 1,000,346 1,000,347 1,000,348 1,000,349 1,000,350

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 8,330,001
Square (n²): 1,000,676,114,244
Cube (n³): 1,001,014,342,770,614,472
Divisor count: 8
σ(n) — sum of divisors: 2,000,688
φ(n) — Euler's totient: 333,444
Sum of prime factors: 166,728

Primality

Prime factorization: 2 × 3 × 166723

Nearest primes: 1,000,333 (−5) · 1,000,357 (+19)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 166723 · 333446 · 500169 (half) · 1000338

Aliquot sum (sum of proper divisors): 1,000,350

Factor pairs (a × b = 1,000,338)

1 × 1000338

2 × 500169

3 × 333446

6 × 166723

First multiples

1,000,338 · 2,000,676 (double) · 3,001,014 · 4,001,352 · 5,001,690 · 6,002,028 · 7,002,366 · 8,002,704 · 9,003,042 · 10,003,380

Sums & aliquot sequence

As consecutive integers: 333,445 + 333,446 + 333,447 250,083 + 250,084 + 250,085 + 250,086 83,356 + 83,357 + … + 83,367

Aliquot sequence: 1,000,338 → 1,000,350 → 2,150,490 → 3,070,950 → 4,696,410 → 6,882,342 → 7,409,082 → 8,360,646 → 11,757,114 → 13,794,906 → 14,247,942 → 14,542,890 → 20,360,118 → 25,424,970 → 35,595,030 → 54,813,930 → 77,435,094 — unresolved within range

Continued fraction of √n

√1,000,338 = [1000; (5, 1, 11, 6, 1, 10, 13, 1, 8, 1, 1, 1, 3, 1, 4, 1, 7, 2, 3, 1, 1, 2, 1, 1, …)]

Representations

In words: one million three hundred thirty-eight
Ordinal: 1000338th
Binary: 11110100001110010010
Octal: 3641622
Hexadecimal: 0xF4392
Base64: D0OS
One's complement: 4,293,966,957 (32-bit)
Scientific notation: 1.000338 × 10⁶
As a duration: 1,000,338 s = 11 days, 13 hours, 52 minutes, 18 seconds

In other bases

ternary (3) 1212211012120

quaternary (4) 3310032102

quinary (5) 224002323

senary (6) 33235110

septenary (7) 11334303

nonary (9) 1784176

undecimal (11) 623629

duodecimal (12) 402a96

tridecimal (13) 290421

tetradecimal (14) 1c07aa

pentadecimal (15) 14b5e3

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬零三百三十八
Chinese (financial): 壹佰萬零參佰參拾捌

In other modern scripts

Eastern Arabic ١٠٠٠٣٣٨ Devanagari १०००३३८ Bengali ১০০০৩৩৮ Tamil ௧௦௦௦௩௩௮ Thai ๑๐๐๐๓๓๘ Tibetan ༡༠༠༠༣༣༨ Khmer ១០០០៣៣៨ Lao ໑໐໐໐໓໓໘ Burmese ၁၀၀၀၃၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000338, here are decompositions:

5 + 1000333 = 1000338
47 + 1000291 = 1000338
89 + 1000249 = 1000338
107 + 1000231 = 1000338
127 + 1000211 = 1000338
139 + 1000199 = 1000338
151 + 1000187 = 1000338
167 + 1000171 = 1000338

Showing the first eight; more decompositions exist.

Hex color

#0F4392

RGB(15, 67, 146)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.67.146.

Address: 0.15.67.146
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.67.146

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 1,000,338 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 US1,000,338 on Google Patents ↗ Look up on USPTO ↗