Live analysis

1,001,082

1,001,082 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.).

1,001,082 (one million one thousand eighty-two) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 166,847. Its proper divisors sum to 1,001,094, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF467A.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,001,070 1,001,071 1,001,072 1,001,073 1,001,074 1,001,075 1,001,076 1,001,077 1,001,078 1,001,079 1,001,080 1,001,081 1,001,082 1,001,083 1,001,084 1,001,085 1,001,086 1,001,087 1,001,088 1,001,089 1,001,090 1,001,091 1,001,092 1,001,093 1,001,094

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,801,001
Square (n²): 1,002,165,170,724
Cube (n³): 1,003,249,513,438,723,368
Divisor count: 8
σ(n) — sum of divisors: 2,002,176
φ(n) — Euler's totient: 333,692
Sum of prime factors: 166,852

Primality

Prime factorization: 2 × 3 × 166847

Nearest primes: 1,001,081 (−1) · 1,001,087 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 166847 · 333694 · 500541 (half) · 1001082

Aliquot sum (sum of proper divisors): 1,001,094

Factor pairs (a × b = 1,001,082)

1 × 1001082

2 × 500541

3 × 333694

6 × 166847

First multiples

1,001,082 · 2,002,164 (double) · 3,003,246 · 4,004,328 · 5,005,410 · 6,006,492 · 7,007,574 · 8,008,656 · 9,009,738 · 10,010,820

Sums & aliquot sequence

As consecutive integers: 333,693 + 333,694 + 333,695 250,269 + 250,270 + 250,271 + 250,272 83,418 + 83,419 + … + 83,429

Aliquot sequence: 1,001,082 → 1,001,094 → 1,001,106 → 1,223,694 → 1,817,586 → 2,274,894 → 2,760,786 → 4,075,758 → 5,173,482 → 5,623,638 → 6,112,938 → 7,192,662 → 7,235,178 → 7,289,718 → 7,645,818 → 8,545,542 → 8,545,554 — unresolved within range

Continued fraction of √n

√1,001,082 = [1000; (1, 1, 5, 1, 1, 1, 1, 1, 2, 6, 4, 2, 17, 1, 1, 2, 1, 1, 3, 9, 1, 3, 2, 9, …)]

Representations

In words: one million one thousand eighty-two
Ordinal: 1001082nd
Binary: 11110100011001111010
Octal: 3643172
Hexadecimal: 0xF467A
Base64: D0Z6
One's complement: 4,293,966,213 (32-bit)
Scientific notation: 1.001082 × 10⁶
As a duration: 1,001,082 s = 11 days, 14 hours, 4 minutes, 42 seconds

In other bases

ternary (3) 1212212020010

quaternary (4) 3310121322

quinary (5) 224013312

senary (6) 33242350

septenary (7) 11336415

nonary (9) 1785203

undecimal (11) 624145

duodecimal (12) 4033b6

tridecimal (13) 290874

tetradecimal (14) 1c0b7c

pentadecimal (15) 14b93c

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬一千零八十二
Chinese (financial): 壹佰萬壹仟零捌拾貳

In other modern scripts

Eastern Arabic ١٠٠١٠٨٢ Devanagari १००१०८२ Bengali ১০০১০৮২ Tamil ௧௦௦௧௦௮௨ Thai ๑๐๐๑๐๘๒ Tibetan ༡༠༠༡༠༨༢ Khmer ១០០១០៨២ Lao ໑໐໐໑໐໘໒ Burmese ၁၀၀၁၀၈၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001082, here are decompositions:

13 + 1001069 = 1001082
41 + 1001041 = 1001082
59 + 1001023 = 1001082
79 + 1001003 = 1001082
83 + 1000999 = 1001082
101 + 1000981 = 1001082
109 + 1000973 = 1001082
113 + 1000969 = 1001082

Showing the first eight; more decompositions exist.

Hex color

#0F467A

RGB(15, 70, 122)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.122.

Address: 0.15.70.122
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.122

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 1,001,082 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 US1,001,082 on Google Patents ↗ Look up on USPTO ↗