Live analysis

1,001,338

1,001,338 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.).

1,001,338 (one million one thousand three hundred thirty-eight) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 13 × 19 × 2,027. Written other ways, in hexadecimal, 0xF477A.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,001,326 1,001,327 1,001,328 1,001,329 1,001,330 1,001,331 1,001,332 1,001,333 1,001,334 1,001,335 1,001,336 1,001,337 1,001,338 1,001,339 1,001,340 1,001,341 1,001,342 1,001,343 1,001,344 1,001,345 1,001,346 1,001,347 1,001,348 1,001,349 1,001,350

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 8,331,001
Square (n²): 1,002,677,790,244
Cube (n³): 1,004,019,373,127,346,472
Divisor count: 16
σ(n) — sum of divisors: 1,703,520
φ(n) — Euler's totient: 437,616
Sum of prime factors: 2,061

Primality

Prime factorization: 2 × 13 × 19 × 2027

Nearest primes: 1,001,327 (−11) · 1,001,347 (+9)

Divisors & multiples

All divisors (16)

1 · 2 · 13 · 19 · 26 · 38 · 247 · 494 · 2027 · 4054 · 26351 · 38513 · 52702 · 77026 · 500669 (half) · 1001338

Aliquot sum (sum of proper divisors): 702,182

Factor pairs (a × b = 1,001,338)

1 × 1001338

2 × 500669

13 × 77026

19 × 52702

26 × 38513

38 × 26351

247 × 4054

494 × 2027

First multiples

1,001,338 · 2,002,676 (double) · 3,004,014 · 4,005,352 · 5,006,690 · 6,008,028 · 7,009,366 · 8,010,704 · 9,012,042 · 10,013,380

Sums & aliquot sequence

As consecutive integers: 250,333 + 250,334 + 250,335 + 250,336 77,020 + 77,021 + … + 77,032 52,693 + 52,694 + … + 52,711 19,231 + 19,232 + … + 19,282

Aliquot sequence: 1,001,338 → 702,182 → 446,938 → 223,472 → 209,536 → 208,154 → 106,246 → 75,914 → 37,960 → 55,280 → 73,432 → 67,328 → 67,576 → 59,144 → 51,766 → 39,962 → 28,078 — unresolved within range

Continued fraction of √n

√1,001,338 = [1000; (1, 2, 52, 2, 1, 2000)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one million one thousand three hundred thirty-eight
Ordinal: 1001338th
Binary: 11110100011101111010
Octal: 3643572
Hexadecimal: 0xF477A
Base64: D0d6
One's complement: 4,293,965,957 (32-bit)
Scientific notation: 1.001338 × 10⁶
As a duration: 1,001,338 s = 11 days, 14 hours, 8 minutes, 58 seconds

In other bases

ternary (3) 1212212120121

quaternary (4) 3310131322

quinary (5) 224020323

senary (6) 33243454

septenary (7) 11340232

nonary (9) 1785517

undecimal (11) 624358

duodecimal (12) 40358a

tridecimal (13) 290a10

tetradecimal (14) 1c0cc2

pentadecimal (15) 14ba5d

As an angle

1,001,338° = 2,781 × 360° + 178°

178° ≈ 3.107 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千三百三十八
Chinese (financial): 壹佰萬壹仟參佰參拾捌

In other modern scripts

Eastern Arabic ١٠٠١٣٣٨ Devanagari १००१३३८ Bengali ১০০১৩৩৮ Tamil ௧௦௦௧௩௩௮ Thai ๑๐๐๑๓๓๘ Tibetan ༡༠༠༡༣༣༨ Khmer ១០០១៣៣៨ Lao ໑໐໐໑໓໓໘ Burmese ၁၀၀၁၃၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001338, here are decompositions:

11 + 1001327 = 1001338
17 + 1001321 = 1001338
47 + 1001291 = 1001338
59 + 1001279 = 1001338
71 + 1001267 = 1001338
101 + 1001237 = 1001338
179 + 1001159 = 1001338
251 + 1001087 = 1001338

Showing the first eight; more decompositions exist.

Hex color

#0F477A

RGB(15, 71, 122)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.122.

Address: 0.15.71.122
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.122

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 1,001,338 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 US1,001,338 on Google Patents ↗ Look up on USPTO ↗