Live analysis

1,001,382

1,001,382 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.).

1,001,382 (one million one thousand three hundred eighty-two) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 47 × 53 × 67. Its proper divisors sum to 1,113,690, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF47A6.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,001,370 1,001,371 1,001,372 1,001,373 1,001,374 1,001,375 1,001,376 1,001,377 1,001,378 1,001,379 1,001,380 1,001,381 1,001,382 1,001,383 1,001,384 1,001,385 1,001,386 1,001,387 1,001,388 1,001,389 1,001,390 1,001,391 1,001,392 1,001,393 1,001,394

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,831,001
Square (n²): 1,002,765,909,924
Cube (n³): 1,004,151,732,411,514,968
Divisor count: 32
σ(n) — sum of divisors: 2,115,072
φ(n) — Euler's totient: 315,744
Sum of prime factors: 172

Primality

Prime factorization: 2 × 3 × 47 × 53 × 67

Nearest primes: 1,001,381 (−1) · 1,001,387 (+5)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 47 · 53 · 67 · 94 · 106 · 134 · 141 · 159 · 201 · 282 · 318 · 402 · 2491 · 3149 · 3551 · 4982 · 6298 · 7102 · 7473 · 9447 · 10653 · 14946 · 18894 · 21306 · 166897 · 333794 · 500691 (half) · 1001382

Aliquot sum (sum of proper divisors): 1,113,690

Factor pairs (a × b = 1,001,382)

1 × 1001382

2 × 500691

3 × 333794

6 × 166897

47 × 21306

53 × 18894

67 × 14946

94 × 10653

106 × 9447

134 × 7473

141 × 7102

159 × 6298

201 × 4982

282 × 3551

318 × 3149

402 × 2491

First multiples

1,001,382 · 2,002,764 (double) · 3,004,146 · 4,005,528 · 5,006,910 · 6,008,292 · 7,009,674 · 8,011,056 · 9,012,438 · 10,013,820

Sums & aliquot sequence

As consecutive integers: 333,793 + 333,794 + 333,795 250,344 + 250,345 + 250,346 + 250,347 83,443 + 83,444 + … + 83,454 21,283 + 21,284 + … + 21,329

Aliquot sequence: 1,001,382 → 1,113,690 → 1,559,238 → 1,730,874 → 1,796,838 → 1,796,850 → 3,649,230 → 6,571,890 → 12,415,806 → 16,906,578 → 19,507,758 → 19,554,978 → 19,805,982 → 25,464,930 → 36,229,854 → 36,290,994 → 36,291,006 — unresolved within range

Continued fraction of √n

√1,001,382 = [1000; (1, 2, 4, 3, 1, 1, 2, 9, 1, 1, 13, 5, 2, 7, 1, 5, 1, 1, 1, 3, 7, 2, 14, 2, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: one million one thousand three hundred eighty-two
Ordinal: 1001382nd
Binary: 11110100011110100110
Octal: 3643646
Hexadecimal: 0xF47A6
Base64: D0em
One's complement: 4,293,965,913 (32-bit)
Scientific notation: 1.001382 × 10⁶
As a duration: 1,001,382 s = 11 days, 14 hours, 9 minutes, 42 seconds

In other bases

ternary (3) 1212212122020

quaternary (4) 3310132212

quinary (5) 224021012

senary (6) 33244010

septenary (7) 11340324

nonary (9) 1785566

undecimal (11) 624398

duodecimal (12) 403606

tridecimal (13) 290a45

tetradecimal (14) 1c0d14

pentadecimal (15) 14ba8c

As an angle

1,001,382° = 2,781 × 360° + 222°

222° ≈ 3.875 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬一千三百八十二
Chinese (financial): 壹佰萬壹仟參佰捌拾貳

In other modern scripts

Eastern Arabic ١٠٠١٣٨٢ Devanagari १००१३८२ Bengali ১০০১৩৮২ Tamil ௧௦௦௧௩௮௨ Thai ๑๐๐๑๓๘๒ Tibetan ༡༠༠༡༣༨༢ Khmer ១០០១៣៨២ Lao ໑໐໐໑໓໘໒ Burmese ၁၀၀၁၃၈၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001382, here are decompositions:

13 + 1001369 = 1001382
29 + 1001353 = 1001382
59 + 1001323 = 1001382
61 + 1001321 = 1001382
71 + 1001311 = 1001382
79 + 1001303 = 1001382
103 + 1001279 = 1001382
163 + 1001219 = 1001382

Showing the first eight; more decompositions exist.

Hex color

#0F47A6

RGB(15, 71, 166)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.166.

Address: 0.15.71.166
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.166

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 1,001,382 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 US1,001,382 on Google Patents ↗ Look up on USPTO ↗